Solitons and phase domains during the cooling of a onedimensional ultracold gas


 Amie Daniels
 3 years ago
 Views:
Transcription
1 Solitons and phase domains during the cooling of a onedimensional ultracold gas Piotr Deuar Emilia Witkowska, Mariusz Gajda Institute of Physics, Polish Academy of Sciences, Warsaw Kazimierz Rzążewski Center for Theoretical Physics, Polish Academy of Sciences, Warsaw Cover of Phys. Rev. Lett., 1 Apr 2011 E. Witkowska, PD, M. Gajda, K. Rzążewski, PRL 106, (2011)
2 Outline The onedimensional Bose gas Two views on what goes on during cooling Defect creation (KibbleZurek mechanism) Thermal phase fluctuations (at long times) Simulation method Simulation results BEC regime Quasicondensate regime How one scenario goes into the other Weak domains, strong defects 2/18
3 BoseEinstein condensate most atoms are in a single orbitalof the trap (BCIT MOT) MOT Rb wir M. Davis, Univ.Queensland 3. vortices superfluidity BEC 2. thermal cloud 1. nonuniform density in the trap C. Zimmerman, Tubingen Univ. 3/18
4 Cooling stage µk Coldest known natural object Boomerang nebula 1K (JouleThompson effect) (microwave background radiation: 2.7K) NASA/ESA A teraz najzimniejsze znane obiekty w ogóle Dispenser ( K) Rb Cs Li K Na M. Głódź, IF PAN 2. Laser cooling + MOT(Magnetooptical trap) 100µK A. Murray, Manchester Univ. 4/18
5 Cooling stage nk 3. Evaporative cooling + magnetooptical / optical dipole trap ( 100nK) G. Raithel, Univ. Michigan Typically, atoms Max density cm3 [c.f. 3X1019 cm3 in the air] BEC L. Salasnich, Univ. Padova 5/18
6 Onedimensional Bose gas N ~ g > 0 repulsive contact interactions IN THE NARROW DIRECTIONS: ` NOT OCCUPIED s OCCUPIED I. Llorente Garcia et al. New J. Phys. 12, (2010) Need hωl ong << kbt << hωnarrow 6/18
7 Quasicondensate In the uniform 1D gas, there is no true condensate for T>0 However: finite coherence length lφ In the trap, BEC occurs when L < lφ D. Petrov, G. Shlyapnikov, J. Walraven, PRL 85, 3745 (2000) 7/18
8 But what actually goes on during the cooling? Aim: to reconcile two aspects of the cooled state (1): Solitons formed in a quench via KibbleZurek mechanism B. Damski, W. Żurek, PRL 104, (2010) Quench of µ in thermal bath (2): Smooth quasicondensate phase in thermal equilibrium no solitons! What about a realistic quench of temperature? S. Dettmer et al, PRL 87, (2001)g 8/18
9 Evaporative cooling of 1D Bose gas THE MODEL t=0 t = tr LOSS LOSS Cooling ramp t >> tr Thermalization Initial condition: gas at thermal equilibrium, above Tc E. Witkowska, M. Gajda, K. Rzążewski Opt. Commun. 283, 671 (2010) Simulation: cfield method Quantum field theory, without discretized particles Developed by many authors: A. Sinatra, M. Brewczyk, M. Gajda, M. Davis, K. Rzazewski, K. Burnett, E. Witkowska, (no particular order) Useful papers: M. Brewczyk et al, J. Phys B 40, R1 (2007); P. Blakie et al. Adv. Phys. 57, 363 (2008) 9/18
10 In more detail e.g. free space : plane wave basis Full quantum field cfields Replace mode amplitude operators with complex number amplitudes Thermal initial state: Distributed according to BoseEinstein distribution Evolution: nonlinear Schrodinger equation Phase of is random Use many realizations to get thermal ensemble 10/18
11 Validity it will be fine, as long as there are always many atoms involved in whatever it is we are studying T>>Tc T>Tc T~Tc T<Tc T 0 Mode occupation getting small OK: All relevant modes highly occupied Occupation in excited modes getting small 11/18
12 Simulation  slow ramp BEC DENSITY Slow ramp ω tr=400 F End of ramp PHASE b Solitons appear Beginning of ramp z 12/18
13 Ramp time Slow ramp BEC Fast ramp quasicondensate Very fast ramp thermal gas CONDENSATE FRACTION CLOUD SIZE COHERENCE LENGTH czas rampy E. Witkowska, PD, M. Gajda, K. Rzążewski PRL 106, (2011) 13/18
14 Fast ramp quasicondensate precursor DENSITY Fast ramp ω tr=75 F Thermalization continues t PHASE End of ramp Solitons appear Beginning of ramp z E. Witkowska, PD, M. Gajda, K. Rzążewski PRL 106, (2011) 14/18
15 Thermalization to a quasicondensate DENSITY AFTER COOLING RAMP z PHASE z F COHERENCE z THERMALIZED 15/18
16 Solitons as the larval stage of equilibrium fluctuations Coherence length after thermalization Mean intersoliton distance at the end of cooling at tr 16/18
17 Domain formation not like the standard story We did NOT see the usual scenario, where: domain seeds grow with time and defects form where they meet DENSITY Instead:  domains are fleeting  solitons are the stable entities  coherence length conserved Not yet fully understood we're building a new trap PHASE F 17/18
18 Summary 1D evaporative cooling is quite different to the usual scenario Coherence length conserved during thermalization of solitons Solitons NOT phase domains are the longlived objects Details: E. Witkowska, PD, M. Gajda, K. Rzążewski PRL 106, (2011) Movies: 18/18
19 Solitony Mechanizm KibbleŻurka Temperatura się obniża w czasie Blisko Tc, czas reakcji jest za długi aby nadążyć za stanem termicznym Faza zostaje lokalnie zamrożona bez komunikacji między odległymi obszarami domeny fazy Pomiędzy domenami tworzą się defekty (solitony w 1D) Im szybsza rampa, tym mniejsze domeny Skalowanie ilośći solitonów z prędkośćią przekraczania Tc było przewidziane. Ns o l i t o n /L ~ (1/[czas rampy]) [ s t a ł a O ( 1 ) ] W. Zurek, PRL 102, (2009) 19/18
20 Mechanizm KibbleŻurka Skalowanie liczby solitonów obecnych po końcu rampy E. Witkowska, PD, M. Gajda, K. Rzążewski PRL 106, (2011) przewidziane: Quench time ~ czas rampy tr? ~1 W. Zurek, PRL 102, (2009) 20/18
Instability, dispersion management, and pattern formation in the superfluid flow of a BEC in a cylindrical waveguide
Instability, dispersion management, and pattern formation in the superfluid flow of a BEC in a cylindrical waveguide Michele Modugno LENS & Dipartimento di Fisica, Università di Firenze, Italy Workshop
More informationSpinor Bose gases lecture outline
Spinor Bose gases lecture outline 1. Basic properties 2. Magnetic order of spinor BoseEinstein condensates 3. Imaging spin textures 4. Spinmixing dynamics We re here 5. Magnetic excitations Citizens,
More informationDarrick Chang ICFO The Institute of Photonic Sciences Barcelona, Spain. April 2, 2014
Darrick Chang ICFO The Institute of Photonic Sciences Barcelona, Spain April 2, 2014 ICFO The Institute of Photonic Sciences 10 minute walk 11 years old 22 Research Groups 300 people Research themes: Quantum
More informationarxiv:condmat/0308498v1 [condmat.soft] 25 Aug 2003
1 arxiv:condmat/38498v1 [condmat.soft] 2 Aug 23 Matterwave interference, Josephson oscillation and its disruption in a BoseEinstein condensate on an optical lattice Sadhan K. Adhikari Instituto de
More informationConference Booklet. Quantum Technologies Conference II Manipulating photons, atoms, and molecules. August 30 September 4, 2011, Kraków, Poland
Manipulating photons, atoms, and molecules Conference Booklet Adam Łowicki, Młody Technik Last update: 18.08.2011 the conference... The conference is organized by Marian Smoluchowski Institute of Physics
More informationUniversité Lille 1 Sciences et Technologies, Lille, France Lille Laboratoire de Physique des Lasers, Atomes et Molécules Équipe Chaos Quantique
Université Lille 1 Sciences et Technologies, Lille, France Lille Laboratoire de Physique des Lasers, Atomes et Molécules Équipe Chaos Quantique FRISNO 11 Aussois 1/4/011 Quantum simulators: The Anderson
More informationThreedimensional parallel vortex rings in BoseEinstein condensates
PHYSICAL REVIEW A 70, 0605 (2004) Threedimensional parallel vortex rings in BoseEinstein condensates LucianCornel Crasovan, 1,2 Víctor M. PérezGarcía, Ionut Danaila, 4 Dumitru Mihalache, 2 and Lluis
More informationNumerical analysis of Bose Einstein condensation in a threedimensional harmonic oscillator potential
Numerical analysis of Bose Einstein condensation in a threedimensional harmonic oscillator potential Martin Ligare Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837 Received 24
More informationSpatial and temporal coherence of polariton condensates
Spatial and temporal coherence of polariton condensates R. Spano Dpt. Fisica de Materiales, Universidad Autónoma Madrid. SPAIN XIV JORNADA DE JÓVENES CIENTÍFICOS DEL INSTITUTO DE CIENCIA DE MATERIALES
More informationPETITS SYSTEMES THERMOELECTRIQUES: CONDUCTEURS MESOSCOPIQUES ET GAZ D ATOMES FROIDS
``Enseigner la recherche en train de se faire Chaire de Physique de la Matière Condensée PETITS SYSTEMES THERMOELECTRIQUES: CONDUCTEURS MESOSCOPIQUES ET GAZ D ATOMES FROIDS Antoine Georges Cycle «Thermoélectricité»
More informationAtomic Clocks and Frequency Standards
Atomic Clocks and Frequency Standards The Battel for Exactness Matthias Reggentin HumboldtUniversität zu Berlin, Institut für Physik July 07, 2010 1 Time and Frequency Measurement through the years 2
More informationWhat was before the Big Bang?
1 / 68 Std. What was before the Big Bang? of the Very Robert Brandenberger McGill University February 21, 2013 2 / 68 Outline Std. 1 What is? 2 Standard Big Bang 3 ary 4 String 5 3 / 68 Plan Std. 1 What
More informationMeasurement and Simulation of Electron Thermal Transport in the MST ReversedField Pinch
1 EX/P317 Measurement and Simulation of Electron Thermal Transport in the MST ReversedField Pinch D. J. Den Hartog 1,2, J. A. Reusch 1, J. K. Anderson 1, F. Ebrahimi 1,2,*, C. B. Forest 1,2 D. D. Schnack
More informationSurprising pairing properties around the drip line and in the crust of neutron stars
Surprising pairing properties around the drip line and in the crust of neutron stars J. Margueron, IPN Lyon, France. I Superfluidity and neutron stars II Surprising features of superfluidity In collaboration
More informationTrapping and Interfacing Cold Neutral Atoms Using Optical Nanofibers
Trapping and Interfacing Cold Neutral Atoms Using Optical Nanofibers Wokshop on Cold Atoms and Quantum Engineering, Paris, France, May 30 31, 2013 Arno Rauschenbeutel Vienna Center for Quantum Science
More informationLaboratoire Charles Fabry de l'institut d'optique Palaiseau
Laboratoire Charles Fabry de l'institut d'optique Palaiseau Chris Westbrook Noise and correlation measurements using atom counting Quantum noise in correlated systems, 7 jan 2008 Outline 1. Quantum atom
More informationFree Electron Fermi Gas (Kittel Ch. 6)
Free Electron Fermi Gas (Kittel Ch. 6) Role of Electrons in Solids Electrons are responsible for binding of crystals  they are the glue that hold the nuclei together Types of binding (see next slide)
More informationConference Booklet. Quantum Technologies Conference Manipulating photons, atoms, and molecules. August 29 September 3, 2010, Toruń, Poland
Manipulating photons, atoms, and molecules Conference Booklet Adam Łowicki, Młody Technik Last update: 29.08.2010 Scientific Committee Ennio Arimondo Faculty of Mathematics, Physics and Natural Sciences,
More informationNumerical Model for the Study of the Velocity Dependence Of the Ionisation Growth in Gas Discharge Plasma
Journal of Basrah Researches ((Sciences)) Volume 37.Number 5.A ((2011)) Available online at: www.basrascience journal.org ISSN 1817 2695 Numerical Model for the Study of the Velocity Dependence Of the
More informationLecture 14. Introduction to the Sun
Lecture 14 Introduction to the Sun ALMA discovers planets forming in a protoplanetary disc. Open Q: what physics do we learn about the Sun? 1. Energy  nuclear energy  magnetic energy 2. Radiation  continuum
More informationSemiconductor Laser Diode
Semiconductor Laser Diode Outline This student project deals with the exam question Semiconductor laser diode and covers the following questions: Describe how a semiconductor laser diode works What determines
More informationLattice approach to the BCSBEC crossover in dilute systems: a MF and DMFT approach
Scuola di Dottorato Vito Volterra Dottorato di Ricerca in Fisica Lattice approach to the BCSBEC crossover in dilute systems: a MF and DMFT approach Thesis submitted to obtain the degree of Dottore di
More information205249. Summer College on Plasma Physics. 1028 August 2009. Discoveries in Dusty Plasmas. Padma K. Shukla RuhrUniversität Bochum Germany
205249 Summer College on Plasma Physics 1028 August 2009 Discoveries in Dusty Plasmas Padma K. Shukla RuhrUniversität Bochum Germany Discoveries in Dusty Plasmas: 20 Years of the Dust Acoustic Wave
More informationHeating & Cooling in Molecular Clouds
Lecture 8: Cloud Stability Heating & Cooling in Molecular Clouds Balance of heating and cooling processes helps to set the temperature in the gas. This then sets the minimum internal pressure in a core
More informationQuantum Computing for Beginners: Building Qubits
Quantum Computing for Beginners: Building Qubits Suzanne Gildert Condensed Matter Physics Research (Quantum Devices Group) University of Birmingham 28/03/2007 Overview of this presentation What is a Qubit?
More informationRICE UNIVERSITY. Tunable Interaction in Quantum Degenerate Lithium. by Kevin Edwin Strecker
RICE UNIVERSITY Tunable Interaction in Quantum Degenerate Lithium by Kevin Edwin Strecker A Thesis Submitted in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy Approved, Thesis
More informationCIRRICULUM VITAE. Degree Department/Program Institution Year Undergraduate Physics (Faculty of Ege University 2002
CIRRICULUM VITAE 1. Surname, Name: ERTİK, Hüseyin 2. Date of Birth: 18.01.1979 3. Title: Assistant Prof. 4. Education: Degree Department/Program Institution Year Undergraduate Physics (Faculty of Ege University
More informationUniversité Lille 1 Sciences et Technologies, Lille, France Laboratoire de Physique des Lasers, Atomes et Molécules Équipe Chaos Quantique
Université Lille 1 Sciences et Technologies, Lille, France Laboratoire de Physique des Lasers, Atomes et Molécules Équipe Chaos Quantique 16 years of experiments on the atomic kicked rotor! Chaos, disorder
More informationWorld of Particles Big Bang Thomas Gajdosik. Big Bang (model)
Big Bang (model) What can be seen / measured? basically only light (and a few particles: e ±, p, p, ν x ) in different wave lengths: microwave to γrays in different intensities (measured in magnitudes)
More informationBoltzmann Distribution Law
Boltzmann Distribution Law The motion of molecules is extremely chaotic Any individual molecule is colliding with others at an enormous rate Typically at a rate of a billion times per second We introduce
More informationScience Standard Articulated by Grade Level Strand 5: Physical Science
Concept 1: Properties of Objects and Materials Classify objects and materials by their observable properties. Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 PO 1. Identify the following observable properties
More informationVARIANCE REDUCTION TECHNIQUES FOR IMPLICIT MONTE CARLO SIMULATIONS
VARIANCE REDUCTION TECHNIQUES FOR IMPLICIT MONTE CARLO SIMULATIONS An Undergraduate Research Scholars Thesis by JACOB TAYLOR LANDMAN Submitted to Honors and Undergraduate Research Texas A&M University
More informationN 1. (q k+1 q k ) 2 + α 3. k=0
Teoretisk Fysik Handin problem B, SI1142, Spring 2010 In 1955 Fermi, Pasta and Ulam 1 numerically studied a simple model for a one dimensional chain of nonlinear oscillators to see how the energy distribution
More informationSpatially separated excitons in 2D and 1D
Spatially separated excitons in 2D and 1D David Abergel March 10th, 2015 D.S.L. Abergel 3/10/15 1 / 24 Outline 1 Introduction 2 Spatially separated excitons in 2D The role of disorder 3 Spatially separated
More informationAmplification Atomic (or molecular, or semiconductor) system has energy levels Some higher energy states are stable for a short time (ps to ms)
Part 5: Lasers Amplification Atomic (or molecular, or semiconductor) system has energy levels Some higher energy states are stable for a short time (ps to ms) Incident photon can trigger emission of an
More informationSearching for Cosmic Strings in New Obervational Windows
1 / 42 Searching for s in New Obervational Windows Robert Brandenberger McGill University Sept. 28, 2010 2 / 42 Outline 1 2 3 4 s in 5 3 / 42 Plan 1 2 3 4 s in 5 s T. Kibble, J. Phys. A 9, 1387 (1976);
More informationWhat Energy Drives the Universe? Andrei Linde
What Energy Drives the Universe? Andrei Linde Two major cosmological discoveries:! The newborn universe experienced rapid acceleration (inflation)! A new (slow) stage of acceleration started 5 billion
More informationBlackbody radiation derivation of Planck s radiation low
Blackbody radiation derivation of Planck s radiation low 1 Classical theories of Lorentz and Debye: Lorentz (oscillator model): Electrons and ions of matter were treated as a simple harmonic oscillators
More informationThe lure of lower temperatures has attracted
Bose Einstein condensation of atomic gases James R. Anglin & Wolfgang Ketterle insight review articles Research Laboratory for Electronics, MITHarvard Center for Ultracold Atoms, and Department of Physics,
More informationEinstein's Cosmological Principle: the foundation of cosmology
Einstein's Cosmological Principle: the foundation of cosmology The Universe, on average, is homogeneous (equal density everywhere if averaged over a sufficiently large volume) and isotropic (it looks the
More informationKinetic effects in the turbulent solar wind: capturing ion physics with a Vlasov code
Kinetic effects in the turbulent solar wind: capturing ion physics with a Vlasov code Francesco Valentini francesco.valentini@fis.unical.it S. Servidio, D. Perrone, O. Pezzi, B. Maruca, F. Califano, W.
More informationModeling Galaxy Formation
Galaxy Evolution is the study of how galaxies form and how they change over time. As was the case with we can not observe an individual galaxy evolve but we can observe different galaxies at various stages
More informationContents. Goldstone Bosons in 3HeA Soft Modes Dynamics and Lie Algebra of Group G:
... Vlll Contents 3. Textures and Supercurrents in Superfluid Phases of 3He 3.1. Textures, Gradient Energy and Rigidity 3.2. Why Superfuids are Superfluid 3.3. Superfluidity and Response to a Transverse
More informationAMPLIFICATION OF ATOMIC WAVES BY STIMULATED EMISSION OF ATOMS. Christian J. Borde
AMPLIFIATION OF ATOMI WAVES BY STIMULATED EMISSION OF ATOMS hristian J. Borde Laboratoire de Physique des Lasers, NRS/URA 8, Universite ParisNord, Villetaneuse, France. INTRODUTION: The recent development
More informationAP CHEMISTRY CHAPTER REVIEW CHAPTER 6: ELECTRONIC STRUCTURE AND THE PERIODIC TABLE
AP CHEMISTRY CHAPTER REVIEW CHAPTER 6: ELECTRONIC STRUCTURE AND THE PERIODIC TABLE You should be familiar with the wavelike properties of light: frequency ( ), wavelength ( ), and energy (E) as well as
More informationWaveparticle and wavewave interactions in the Solar Wind: simulations and observations
Waveparticle and wavewave interactions in the Solar Wind: simulations and observations Lorenzo Matteini University of Florence, Italy In collaboration with Petr Hellinger, Simone Landi, and Marco Velli
More informationDefects Introduction. Bonding + Structure + Defects. Properties
Defects Introduction Bonding + Structure + Defects Properties The processing determines the defects Composition Bonding type Structure of Crystalline Processing factors Defects Microstructure Types of
More information7. DYNAMIC LIGHT SCATTERING 7.1 First order temporal autocorrelation function.
7. DYNAMIC LIGHT SCATTERING 7. First order temporal autocorrelation function. Dynamic light scattering (DLS) studies the properties of inhomogeneous and dynamic media. A generic situation is illustrated
More informationWaves  Transverse and Longitudinal Waves
Waves  Transverse and Longitudinal Waves wave may be defined as a periodic disturbance in a medium that carries energy from one point to another. ll waves require a source and a medium of propagation.
More informationExcitation transfer and energy exchange processes for modeling the FleischmannPons excess heat effect
Hagelstein, P.L. and I. Chaudhary. Excitation transfer and energy exchange processes for modeling the FleischmannPons excess heat effect. in ICCF14 International Conference on Condensed Matter Nuclear
More informationprecision measurement of the sound velocity in an ultracold fermi gas through the becbcs crossover
precision measurement of the sound velocity in an ultracold fermi gas through the becbcs crossover Date: Approved: by James Adlai Joseph Department of Physics Duke University Dr. John Thomas, Supervisor
More informationSingle Photon Counting Module COUNT Series
Description Laser Components COUNT series of s has been developed to offer a unique combination of high photon detection efficiency, wide dynamic range and ease of use for photon counting applications.
More informationRevisiting the concept of chemical potential in classical and quantum gases: A perspective from Equilibrium Statistical Mechanics.
Revisiting the concept of chemical potential in classical and quantum gases: A perspective from Equilibrium Statistical Mechanics F.J. Sevilla Instituto de Física, UNAM, Apdo. Postal 20364, 01000 México
More informationElectrical Conductivity
Advanced Materials Science  Lab Intermediate Physics University of Ulm Solid State Physics Department Electrical Conductivity Translated by MichaelStefan Rill January 20, 2003 CONTENTS 1 Contents 1 Introduction
More informationNonequilibrium spin dynamics in systems of ultracold atoms
Nonequilibrium spin dynamics in systems of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Robert Cherng, Vladimir Gritsev, Mikhail Lukin, Anatoli Polkovnikov, Ana Maria Rey
More informationd d Φ * Φdx T(B) Barrier (B ) : Vo = 5, a = 2 Well (W ) : Vo= 5, a = 2 0.0 0 2 4 6 8 10 12 14 16 18 20 ENERGY (E)
Quantum Mechanical Transmission with Absorption S. MAHADEVAN, A. UMA MAHESWARI, P. PREMA AND C. S. SHASTRY Physics Department, Amrita Vishwa Vidyapeetham, Coimbatore 641105 ABSTRACT Transmission and reflection
More informationPerpetual motion and driven dynamics of a mobile impurity in a quantum fluid
and driven dynamics of a mobile impurity in a quantum fluid Oleg Lychkovskiy Russian Quantum Center Seminaire du LPTMS, 01.12.2015 Seminaire du LPTMS, 01.12.2015 1 / Plan of the talk 1 Perpetual motion
More informationNANOFLAM. Projet ANR Blanc 2011 BS0401001. Aide allouée: 337 000, durée 36+8 mois (fin : Mai 2015) Laboratoire H. Curien
Laboratoire H. Curien Centre de Physique Théorique F. Courvoisier R. Stoian & T. Itina A. Couairon NANOFLAM Projet ANR Blanc 2011 BS0401001 Contrôle de la filamentation et de la génération de plasma avec
More informationCIRRICULUM VITAE. Degree Department/Program Institution Year Undergraduate Physics (Faculty of Ege University 2002
CIRRICULUM VITAE 1. Surname, Name: ERTİK, Hüseyin 2. Date of Birth: 18.01.1979 3. Title: Assistant Prof. 4. Education: Degree Department/Program Institution Year Undergraduate Physics (Faculty of Ege University
More informationComputational Fluid Dynamics (CFD) and Multiphase Flow Modelling. Associate Professor Britt M. Halvorsen (Dr. Ing) Amaranath S.
Computational Fluid Dynamics (CFD) and Multiphase Flow Modelling Associate Professor Britt M. Halvorsen (Dr. Ing) Amaranath S. Kumara (PhD Student), PO. Box 203, N3901, N Porsgrunn, Norway What is CFD?
More informationA PCBASED TIME INTERVAL COUNTER WITH 200 PS RESOLUTION
35'th Annual Precise Time and Time Interval (PTTI) Systems and Applications Meeting San Diego, December 24, 2003 A PCBASED TIME INTERVAL COUNTER WITH 200 PS RESOLUTION Józef Kalisz and Ryszard Szplet
More informationCollapse and Revival of the Matter Wave Field of a BoseEinstein Condensate
Collapse and Revival of the Matter Wave Field of a BoseEinstein Condensate Markus Greiner, Olaf Mandel, Theodor W. Hänsch & Immanuel Bloch * Sektion Physik, LudwigMaximiliansUniversität, Schellingstrasse
More informationThe Role of Electric Polarization in Nonlinear optics
The Role of Electric Polarization in Nonlinear optics Sumith Doluweera Department of Physics University of Cincinnati Cincinnati, Ohio 45221 Abstract Nonlinear optics became a very active field of research
More informationDegenerate Fermi Gases Alessio Recati
Degenerate Fermi Gases Alessio Recati CNRINO BEC Center/ Dip. Fisica, Univ. di Trento (I) BEC Group (28 members): Theory Experiment 4 UNI staff 3 CNR staff 2 CNR staff 7 PostDoc 7 PhD 3 Master 2 Master
More informationBroadband microwave conductance across the T=0 superconductorresistive magnetic field tuned transition in InO x!
Broadband microwave conductance across the T=0 superconductorresistive magnetic field tuned transition in InO x! N. Peter Armitage! Dept. of Physics and Astronomy! The Johns Hopkins University! Lidong
More informationLecture 8. Generating a nonuniform probability distribution
Discrete outcomes Lecture 8 Generating a nonuniform probability distribution Last week we discussed generating a nonuniform probability distribution for the case of finite discrete outcomes. An algorithm
More informationThe quantum understanding of preuniversity physics students
The quantum understanding of preuniversity physics students Gren Ireson Department of Education, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK Students in England and Wales wishing
More informationDynamics of two colliding BoseEinstein condensates in an elongated magnetostatic trap
Dynamics of two colliding BoseEinstein condensates in an elongated magnetostatic trap M. Modugno, 1 F. Dalfovo, 2 C. Fort, 1 P. Maddaloni, 1, * and F. Minardi 1 1 INFMLENS, Dipartimento di Fisica, Università
More information thus, the total number of atoms per second that absorb a photon is
Stimulated Emission of Radiation  stimulated emission is referring to the emission of radiation (a photon) from one quantum system at its transition frequency induced by the presence of other photons
More informationNUMERICAL SIMULATION OF BIOHEAT TRANSFER PROCESS IN THE HUMAN EYE USING FINITE ELEMENT METHOD
Scientific Research of the Institute of Mathematics and Computer Science NUMERICAL SIMULATION OF BIOHEAT TRANSFER PROCESS IN THE HUMAN EYE USING FINITE ELEMENT METHOD Marek Paruch Department for Strength
More informationF en = mω 0 2 x. We should regard this as a model of the response of an atom, rather than a classical model of the atom itself.
The Electron Oscillator/Lorentz Atom Consider a simple model of a classical atom, in which the electron is harmonically bound to the nucleus n x e F en = mω 0 2 x origin resonance frequency Note: We should
More informationChapter 6 Atmospheric Aerosol and Cloud Processes Spring 2015 Cloud Physics Initiation and development of cloud droplets Special interest: Explain how droplet formation results in rain in approximately
More informationLecture 1: Microscopic Theory of Radiation
253a: QFT Fall 2009 Matthew Schwartz Lecture : Microscopic Theory of Radiation Blackbody Radiation Quantum Mechanics began on October 9, 900 with Max Planck s explanation of the blackbody radiation spectrum.
More informationBroadband THz Generation from Photoconductive Antenna
Progress In Electromagnetics Research Symposium 2005, Hangzhou, China, August 2226 331 Broadband THz Generation from Photoconductive Antenna Qing Chang 1, Dongxiao Yang 1,2, and Liang Wang 1 1 Zhejiang
More informationDetecting Atomic Shot Noise On Ultracold Atom Clouds
Detecting Atomic Shot Noise On Ultracold Atom Clouds Gordon D. McDonald A thesis submitted for the degree of Bachelor of Philosophy (Science) with Honours in Physics of The Australian National University
More informationQuantum control of individual electron and nuclear spins in diamond lattice
Quantum control of individual electron and nuclear spins in diamond lattice Mikhail Lukin Physics Department, Harvard University Collaborators: L.Childress, M.Gurudev Dutt, J.Taylor, D.Chang, L.Jiang,A.Zibrov
More informationParticle Soup: Big Bang Nucleosynthesis
Name: Partner(s): Lab #7 Particle Soup: Big Bang Nucleosynthesis Purpose The student explores how helium was made in the Big Bang. Introduction Very little helium is made in stars. Yet the universe is
More information62. A quantum system has the following energy level diagram. Notice that the temperature is indicated
Chapter 6 Concept Tests 61. In a gas of hydrogen atoms at room temperature, what is the ratio of atoms in the 1 st excited energy state (n=2) to atoms in the ground state(n=1). (Actually H forms H 2 molecules,
More informationLecture 6 Scanning Tunneling Microscopy (STM) General components of STM; Tunneling current; Feedback system; Tip  the probe.
Lecture 6 Scanning Tunneling Microscopy (STM) General components of STM; Tunneling current; Feedback system; Tip  the probe. Brief Overview of STM Inventors of STM The Nobel Prize in Physics 1986 Nobel
More informationMalcolm S. Longair. Galaxy Formation. With 141 Figures and 12 Tables. Springer
Malcolm S. Longair Galaxy Formation With 141 Figures and 12 Tables Springer Contents Part I Preliminaries 1. Introduction, History and Outline 3 1.1 Prehistory 3 1.2 The Theory of the Expanding Universe
More informationLimitations of Equilibrium Or: What if τ LS τ adj?
Limitations of Equilibrium Or: What if τ LS τ adj? Bob Plant, Laura Davies Department of Meteorology, University of Reading, UK With thanks to: Steve Derbyshire, Alan Grant, Steve Woolnough and Jeff Chagnon
More informationWhat is Laser Ablation? Mass removal by coupling laser energy to a target material
Laser Ablation Fundamentals & Applications Samuel S. Mao Department of Mechanical Engineering University of California at Berkeley Advanced Energy Technology Department March 1, 25 Laser Ablation What
More informationLecture Outlines. Chapter 27. Astronomy Today 7th Edition Chaisson/McMillan. 2011 Pearson Education, Inc.
Lecture Outlines Chapter 27 Astronomy Today 7th Edition Chaisson/McMillan Chapter 27 The Early Universe Units of Chapter 27 27.1 Back to the Big Bang 27.2 The Evolution of the Universe More on Fundamental
More informationphys4.17 Page 1  under normal conditions (pressure, temperature) graphite is the stable phase of crystalline carbon
Covalent Crystals  covalent bonding by shared electrons in common orbitals (as in molecules)  covalent bonds lead to the strongest bound crystals, e.g. diamond in the tetrahedral structure determined
More informationDYNAMICS OF MOMENTUM DISTRIBUTIONS OF VACUUM EXCITATION IN FOCAL SPOT OF MODERN SUPERPOWER LASERS COUNTER BEAMS
DYNAMICS OF MOMENTUM DISTRIBUTIONS OF VACUUM EXCITATION IN FOCAL SPOT OF MODERN SUPERPOWER LASERS COUNTER BEAMS A.S. Dubinin Saratov State University, Russia S.A. Smolyansky, A.V. Prozorkevich, (Saratov
More informationEnergy conservation. = h(ν ν 0 ) Recombination: electron gives up energy = ½ mv f. Net energy that goes into heating: ½ mv i.
Thermal Equilibrium Energy conservation equation Heating by photoionization Cooling by recombination Cooling by brehmsstralung Cooling by collisionally excited lines Collisional deexcitation Detailed
More informationDO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS
DO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS Quantum Mechanics or wave mechanics is the best mathematical theory used today to describe and predict the behaviour of particles and waves.
More information particle with kinetic energy E strikes a barrier with height U 0 > E and width L.  classically the particle cannot overcome the barrier
Tunnel Effect:  particle with kinetic energy E strikes a barrier with height U 0 > E and width L  classically the particle cannot overcome the barrier  quantum mechanically the particle can penetrated
More informationName Date Class ELECTRONS IN ATOMS. Standard Curriculum Core content Extension topics
13 ELECTRONS IN ATOMS Conceptual Curriculum Concrete concepts More abstract concepts or math/problemsolving Standard Curriculum Core content Extension topics Honors Curriculum Core honors content Options
More informationExplosion of a Water Droplet by Pulsed Laser Heating
Aerosol Science and Technology ISSN: 02786826 (Print) 15217388 (Online) Journal homepage: http://www.tandfonline.com/loi/uast20 Explosion of a Water Droplet by Pulsed Laser Heating Joseph C. Carls &
More informationComb beam for particledriven plasmabased accelerators
A. Mostacci, on behalf of the SPARC team Comb beams are subpicosecond, highbrightness electron bunch trains generated via the velocity bunching technique. Such bunch trains can be used to drive tunable
More informationThe QOOL Algorithm for fast Online Optimization of Multiple Degree of Freedom Robot Locomotion
The QOOL Algorithm for fast Online Optimization of Multiple Degree of Freedom Robot Locomotion Daniel Marbach January 31th, 2005 Swiss Federal Institute of Technology at Lausanne Daniel.Marbach@epfl.ch
More informationQuantum Computation with BoseEinstein Condensation and. Capable of Solving NPComplete and #P Problems. Abstract
Quantum Computation with BoseEinstein Condensation and Capable of Solving NPComplete and #P Problems Yu Shi Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom Abstract It
More informationTheory of moist convection in statistical equilibrium
Theory of moist convection in statistical equilibrium By analogy with MaxwellBoltzmann statistics Bob Plant Department of Meteorology, University of Reading, UK With thanks to: George Craig, Brenda Cohen,
More informationThe Crafoord Prize 2005
I N F O R M A T I O N F O R T H E P U B L I C The Royal Swedish Academy of Sciences has decided to award the Crafoord Prize in Astronomy 2005 to James Gunn, Princeton University, USA, James Peebles, Princeton
More informationScanning Near Field Optical Microscopy: Principle, Instrumentation and Applications
Scanning Near Field Optical Microscopy: Principle, Instrumentation and Applications Saulius Marcinkevičius Optics, ICT, KTH 1 Outline Optical near field. Principle of scanning near field optical microscope
More informationSolidification, Crystallization & Glass Transition
Solidification, Crystallization & Glass Transition Cooling the Melt solidification Crystallization versus Formation of Glass Parameters related to the formaton of glass Effect of cooling rate Glass transition
More informationChemistry 102 Summary June 24 th. Properties of Light
Chemistry 102 Summary June 24 th Properties of Light  Energy travels through space in the form of electromagnetic radiation (EMR).  Examples of types of EMR: radio waves, xrays, microwaves, visible
More informationDoped Semiconductors. Dr. Katarzyna Skorupska
Doped Semiconductors Dr. Katarzyna Skorupska 1 Doped semiconductors Increasing the conductivity of semiconductors by incorporation of foreign atoms requires increase of the concentration of mobile charge
More informationT = 1 f. Phase. Measure of relative position in time within a single period of a signal For a periodic signal f(t), phase is fractional part t p
Data Transmission Concepts and terminology Transmission terminology Transmission from transmitter to receiver goes over some transmission medium using electromagnetic waves Guided media. Waves are guided
More information