: Nobuyuki Matsumoto
: Classical Pendulum Feels Quantum Back-Action
: Springer-Verlag
: 9784431558828
: 1
: CHF 85.40
:
: Theoretische Physik
: English
: 110
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In this thesis, ultimate sensitive measurement for weak force imposed on a suspended mirror is performed with the help of a laser and an optical cavity for the development of gravitational-wave detectors. According to the Heisenberg uncertainty principle, such measurements are subject to a fundamental noise called quantum noise, which arises from the quantum nature of a probe (light) and a measured object (mirror). One of the sources of quantum noise is the quantum back-action, which arises from the vacuum fluctuation of the light. It sways the mirror via the momentum transferred to the mirror upon its reflection for the measurement. The author discusses a fundamental trade-off between sensitivity and stability in the macroscopic system, and suggests using a triangular cavity that can avoid this trade-off. The development of an optical triangular cavity is described and its characterization of the optomechanical effect in the triangular cavity is demonstrated. As a result, for the first time in the world the quantum back-action imposed on the 5-mg suspended mirror is significantly evaluated. This work contributes to overcoming the standard quantum limit in the future.

Supervisor's Foreword7
Acknowledgments9
Contents11
1 Introduction13
1.1 Optomechanical Effects13
1.1.1 Quantum Noise Limit17
1.2 Observation of Quantum Back-Action19
References20
2 Theory of Optomechanics24
2.1 Optical System24
2.1.1 The Quantized Electromagnetic Field24
2.1.2 The Heisenberg Uncertainty Principle26
2.1.3 States of Light26
2.1.4 Optical Cavity28
2.2 Mechanical Oscillator31
2.2.1 Mechanical Normal Modes32
2.2.2 Mechanical Dissipation32
3432
2.3 Optomechanical System37
2.3.1 Theoretical Derivation of Quantum Back-Action37
2.3.2 Phase-Induced Radiation Pressure42
2.3.3 Photo-Thermal Shot Noise44
2.3.4 Raman Decoherence44
References45
3 Application of Optomechanics47
3.1 Towards Gravitational Wave Astronomy47
3.1.1 Background of This Section49
3.1.2 Back-Action Evasion Method49
3.2 Test of Quantum Mechanics50
3.2.1 Direct Test of Interference of a Massive Pendulum Via Single-Photon Coupling52
3.2.2 Test of Gravity-Induced Decoherece Models by Linear Continuous Measurement54
3.2.3 Test of Spontaneous Wave-Function Collapse Models Using a Classical Pendulum55
References57
4 Optical Torsional Spring60
4.1 Trade-Off Relationship60
4.2 Model of a Triangular Optical Cavity63
4.3 Experimental Setup64
4.4 Experimental Results64
6664
References68
5 Experimental Setup69
5.1 All Aspects of the Experiment69
5.2 Partial Aspects of the Experiment74
5.2.1 Mechanical Oscillator74
5.2.2 Laser Source76
5.2.3 Calibration77
5.2.4 Detection System and Vacuum System85
References86
6 Experimental Results88
6.1 Optical Characterization88
6.2 Mechanical Characterization90
6.3 Optomechanical Characterization93
6.4 Measurement of the Back-Action and Discussions94
References98
7 The Future100
7.1 Future Improvement100
7.2 Towards Ground-State Cooling101
7.3 Towards Beating the SQL102
References103
8 Conclusions104
Appendix A Intensity Stabilization106
Curriculum Vitae110