TOBA: a Low-frequency Gravitational-Wave Antenna

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TOBA: a Low-frequency Gravitational-Wave Antenna Masaki Ando (Univ. of Tokyo), N. Aritomi, T. Shimoda, A. Shoda, Y. Kuwahara, K. Yamamoto, Y. Aso, R. Takahashi, K. Eda, Y Itoh Small-scale TOBA at Tokyo Small-scale TOBA at Kyoto SWIM on SDS-1 satellite

Background and Motivation

Torsion-Bar Antenna TOBA: Torsion-Bar Antenna Two bars suspended as torsion pendulum Detect differential rotation by GW M. Ando+, Phys. Rev. Lett. (2010)

GW Science at Low Frequency Low-Freq. (~0.1Hz) GW antennae will provide original sciences: * Mass and orbital parameters of binaries, * Intermediate-Mass Black Hole binaries, * Stochastic background GW. Good sciences by ground-based antennae : h < 10 19 Hz 1/2. Fruitful sciences by space-borne antennae : h < 10 23 Hz 1/2.

Sensitivity Curves elisa TOBA (10m) Year Month Day Hour KAGRA Min Pre-DECIGO Sec ET

Observable Range 30M BBH Merger : 200 Gpc (z>10) range. elisa SNR=8, Optimal Direction/Polarization TOBA (10m)

Low-Frequency Observations Low-freq. observation has significance much more than the detectable range. With low-freq. GW telescopes, longer observation time is expected; in 30M BBH merger case, the signal is at 0.1Hz in 15days before merger. - Improved parameter estimation accuracy with lager cycle number (~10 5 ) : * Localization, Merger time Alerts for GW-EM. * Mass, Distance, Spin Origin and nature of BBH.

GW Science at Low Frequency Low-Freq. (~0.1Hz) GW antennae will provide original sciences: * Mass and orbital parameters of binaries, * Intermediate-Mass Black Hole binaries, * Stochastic background GW. Good sciences by ground-based antennae : h < 10 19 Hz 1/2. Fruitful sciences by space-borne antennae : h < 10 23 Hz 1/2.

Fundamental Noise Level of 10-m TOBA Practical parameters Bar length : 10m, Mass : 7600kg Laser source : 1064nm, 10W Cavity length : 1cm, Finesse : 100 Bar Q-value : 10 5, Temp: 4K Support Loss : 10-10 Laser Freq. noise < 10Hz/Hz 1/2, Freq. Noise CMRR>100 Intensity noise < 10-7 /Hz 1/2, Bar residual RMS motion < 10-12 m

Observable Range Inspiral range for BH-BH binaries 10 Gpc ( ) PRL105, 161101 (2010)

Prototype Developments Phase-I (2005-2010, Ishidoshiro, Ando, ) * Principle test and 0.1Hz GW observation * 20cm mass, Room temp, Poor seismic isolation * Two setups : Tokyo and Kyoto. Phase-II (2011-2015, Shoda, Okada, ) * Improved isolation design (Suspension + AVIT) * Principle test of multiple output configuration * Part of Cryogenics. Space-borne TOBA (2005-2011. Kokuyama, ) * Principle test and low-freq. GW observation. * Free floating, 5cm mass, Room temp.

What We learned so far... Phase-I TOBA: - Seismic coupling coupling from disp. - External magnetic fluctuation coupling K.Ishidoshiro+, PRL (2011) Seismic noise Phase-II TOBA: - Seismic coupling coupling from disp. - Readout sensor noise A.Shoda, PhD thesis (2014)

Phase-III TOBA

Possible Next Step Strain sensitivity of 10-15 Hz -1/2 at 0.1Hz. Multiple scientific outcomes expected: * Observation of GWs, * Direct measurement of Gravity-gradient noises Test bench for cancellation. * Earthquake early alert. * Tiny force measurements for Quantum noise, Space missions, Fund. physics,

Conceptual Design of Phase-III TOBA Test Mass: Cupper (?), Length 30cm, Mass 7.6kg, Temp. 4K. Suspension: Silicon, Resonant Freq. ~2 mhz, Temp. 4K, Q-value > 3 10 7 Optical Readout : θ < 1 10 15 rad/hz 1/2 Laser power > 0.1W Seismic isolation : Active isolation + Passive suspension (3 stages) Active Isolation Damping Mass Upper mass Test mass @0.1 Hz Rotation < 3 10 7 6.3 10 9 2.5 10 12 1 10 15 Displacement [rad/hz 1/2 ] [m/hz 1/2 ] 1 10 8 1 10 8 1 10 8 < 1 10 11

Sensitivity of 30cm Cryogenic TOBA Target Shot Noise

Phase-III TOBA Configuration Active seismicisolation stage : Geophone + Hexapod The setup is housed in a cryostat vacuum tank. Monolithic optical bench for readout : Power-recycled Michelson IFO Figure: Tomofumi SHIMODA Basement fixed to ground Passive isolation : Triple suspension with damping Monolithic test-mass bar, controlled using coil-coil actuator

Current Phase-III TOBA Setup Active seismicisolation stage : Geophone + Hexapod The setup is housed in a cryostat vacuum tank. 60cm Basement fixed to ground Passive isolation : single suspension Optical bench for readout : Michelson IFO Not suspended. Test-mass bar, controlled using coilmagnet actuator

Cryostat and Cryo-cooler cryostat vacuum tank Cryocooler : 2-stage pulse-tube cryocooler Valve unit 4k anchor 80k shield Heat links

Cryostat and Cryo-cooler Figure: A. Shoda

Inside the Cryostat 60cm Figure: A. Shoda

Technical Challenges Suspension thermal noise: Q-value > 3 107, Temp. 4K. Seismic noise: Rotational DoF, Coupling from displacement. Magnetic noise coupling: Torque by external magnetic fluctuations. Optical readout: 𝛿𝑥 < 1 10 16 m/hz1/2 at 0.1Hz band. Cryogenic compatibilities.

Seismic Coupling Noise Tomofumi SHIMODA has made systematic survey of the seismic coupling noises, mitigation ideas, and quantitative estimation on the requirements. Please take a look at his poster presentation.

Displacement-to-Rotation Coupling One example: Displacement seismic noise coupling to rotation caused by the mismatch between the suspension point and CoM of the test mass. - Required Accuracy : Δx<10nm (Adjustment of 100mg mass position sub-mm accuracy) - Possible to be adjusted by intentional small tilt of the mass. Displacement in the suspension point CoM

Magnetic Noise Coupling Naoki Aritomi is developing a new-type of actuator, so as to abandon permanent magnet from the test mass. Inductive actuator with coils. Please take a look at his poster presentation.

Magnetic Noise Coupling Operation of small TOBA with coil-coil actuator. Evaluation of external magnetic coupling. Figure: Naoki ARITOMI

Monolithic Optical Bench Monolithic test mass and optical bench. Power-recycled Michelson IFO in this case. - Silica test mass, 20cm length, λ/10 polished. - Silica optical bench, optics will be glued. 20cm Test-mass bar Figure: Naoki ARITOMI

Previous Result S.Sato s Mach-Zehnder IFO experiment Monolithic optical bench is promising to realize shot-noise-limited sensitivity at low-frequency below 1Hz. S.Sato (2013)

Monolithic Optical Bench Fused Silica components have been delivered. - Test mass: Polished and Mirror-coated. - Optical bench: Polished and shaped for sus. Fused Silica Test Mass (Not unpacked yet) Fused Silica Optical Bench

Summary

Schedule (prediction) Tests at room temp. (~2016.12) - Investigation and experimental tests on seismic noise coupling noise. - Tests of Coil-Coil actuator - Operation and noise evaluation with monolithic optical bench. Cryogenic operation (~2018.12) - Tuning of active isolation stage. - High-quality wire for suspension. - Cryogenic operation to reach sensitivity h < 1 10 15 Hz 1/2

Summary In U-Tokyo, we are in a design phase of the next TOBA experiments * Sensitivity of h~10 15 Hz 1/2 is a good target. - Best GW antenna in this band. - Scalable up to the 10-m TOBA. - Open several possibilities in application. * 30-cm scale cryogenic torsion pendulum. Any suggestion in this workshop are welcome!

End