Qubit-Coupled Mechanics - IFSC

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What does it take to see quantum behavior of mechanical objects? - Extensive subject - Lots of subtleties related to measurement, the nature of various quantum states of motion, and to the interaction of harmonic systems with their Environment - Book by Braginsky is a great place to start (began thinking about these issues in the context of gravitational wave detection back in the 1970’s) *Another nice, general overview: Schwab and Roukes, Physics Today, July 2005.*
Thermal Noise E Energy Spectrum The Environment: (e.g. charge fluctuations ; phonons from substrate, EM radiation, etc) Energy levels only account Roukes for KE and PE due to restoring force PE ħω 0 Oscillator Embedded in an ‘environment’ H = 1 2 k 0χ̂0 2 + p̂0 2 2m 0 KE E = ħω 0 N + 1 2 N = 1 N = 0 N = 3 N = 2 x Environment is Source of random fluctuations that ‘kick’ And damp resonator. Nanoresonator as S.H.O. k m x Environment Temp. T
Page 1 and 2: Qubit-Coupled Mechanics Matt LaHaye
Page 3 and 4: Mechanical Systems in the Quantum R
Page 5 and 6: What do We Hope to Accomplish With
Page 7 and 8: The Future: Quantum Machines?
Page 9: What does it take to get to the qua
Page 13 and 14: Chasing the Ground State Cooling th
Page 15 and 16: Approaching the Ground State: Back-
Page 17 and 18: Limitations of Linear Displacement
Page 19 and 20: Schematic of Coupling Between a Coo
Page 21 and 22: Schematic of Coupling Between a Coo
Page 23 and 24: The Dispersive Coupling Limit Inter
Page 25 and 26: First Realization of Qubit-Coupled
Page 27 and 28: Milestone in Quantum Measurement Na
Page 29 and 30: The Dispersive Coupling Limit *See:
Page 31 and 32: Engineering the qubit read-out: Emb
Page 33 and 34: Present Status of Our Efforts at Sy
Page 35 and 36: LC Circuit Read-out of Qubit vs. Ap
Page 37 and 38: Details of the UHF Flexural Nanomec
Page 39 and 40: LC Read-out of Qubit: Two-Tone Spec
Page 41 and 42: Two-Tone Spectroscopy - ‘Extra’

Qubit-Coupled Mechanics - IFSC

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