Preparing a mechanical oscillator in non-gaussian quantum states.

We propose a protocol for coherently transferring non-Gaussian quantum states from an optical field to a mechanical oscillator. We demonstrate its experimental feasibility in future gravitational-wave detectors and tabletop optomechanical devices. This work not only outlines a feasible way to investigate nonclassicality in macroscopic optomechanical systems, but also presents a new and elegant approach for solving non-Markovian open quantum dynamics in general linear systems.

[1]  J. Cirac,et al.  Experimental demonstration of quantum memory for light , 2004, Nature.

[2]  R. Filip,et al.  Noise-resilient quantum interface based on quantum nondemolition interactions , 2010, 1002.0225.

[3]  A. D. Boozer,et al.  Deterministic Generation of Single Photons from One Atom Trapped in a Cavity , 2004, Science.

[4]  Vladimir B. Braginsky,et al.  Quantum Measurement , 1992 .

[5]  T. Kippenberg,et al.  Cavity Optomechanics: Back-Action at the Mesoscale , 2008, Science.

[6]  H. Miao,et al.  Standard quantum limit for probing mechanical energy quantization. , 2009, Physical review letters.

[7]  A. C. Doherty,et al.  STATE DETERMINATION IN CONTINUOUS MEASUREMENT , 1999 .

[8]  Samuel L. Braunstein,et al.  Quantum-state transfer from light to macroscopic oscillators , 2003 .

[9]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[10]  Herbert Walther,et al.  Continuous generation of single photons with controlled waveform in an ion-trap cavity system , 2004, Nature.

[11]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[12]  Kurt Jacobs,et al.  Feedback cooling of a nanomechanical resonator , 2003 .

[13]  S. Girvin,et al.  Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane , 2007, Nature.

[14]  T J Kippenberg,et al.  Theory of ground state cooling of a mechanical oscillator using dynamical backaction. , 2007, Physical review letters.

[15]  J. Ignacio Cirac,et al.  Toward quantum superposition of living organisms , 2009, 0909.1469.

[16]  P. Zoller,et al.  Cavity-assisted squeezing of a mechanical oscillator , 2009, 0904.1306.

[17]  Anthony J Leggett,et al.  Macroscopic Quantum Systems and the Quantum Theory of Measurement (Progress in Statistical and Solid State Physics--In Commemoration of the Sixtieth Birthday of Ryogo Kubo) -- (Statistical Physics) , 1980 .

[18]  Gerard J. Milburn,et al.  Classical and quantum conditional statistical dynamics , 1996 .

[19]  Measurement of energy eigenstates by a slow detector. , 2007, Physical review letters.

[20]  Tobias J. Hagge,et al.  Physics , 1929, Nature.

[21]  Sylvain Gigan,et al.  Ground-state cooling of a micromechanical oscillator: Comparing cold damping and cavity-assisted cooling schemes , 2007, 0705.1728.

[22]  Using a qubit to measure photon-number statistics of a driven thermal oscillator , 2006, cond-mat/0611759.

[23]  R. Schnabel,et al.  Quantum state preparation and macroscopic entanglement in gravitational-wave detectors , 2009, 0903.0079.

[24]  Florian Marquardt,et al.  Quantum theory of cavity-assisted sideband cooling of mechanical motion. , 2007, Physical review letters.

[25]  Kurt Jacobs,et al.  Engineering quantum states of a nanoresonator via a simple auxiliary system. , 2007, Physical review letters.

[26]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[27]  D. Bouwmeester,et al.  Creating and verifying a quantum superposition in a micro-optomechanical system , 2008, 0807.1834.

[28]  Clement W. Mieghan O'Connell, et al.: , 1975 .

[29]  Stefano Mancini,et al.  Scheme for teleportation of quantum states onto a mechanical resonator. , 2003, Physical review letters.

[30]  Erik Lucero,et al.  Quantum ground state and single-phonon control of a mechanical resonator , 2010, Nature.

[31]  H. Miao,et al.  Probing macroscopic quantum states with a sub-Heisenberg accuracy , 2009, 0905.3729.

[32]  Pavel Lougovski,et al.  Continuous measurement of the energy eigenstates of a nanomechanical resonator without a nondemolition probe. , 2007, Physical review letters.

[33]  S. Braunstein,et al.  Quantum Information with Continuous Variables , 2004, quant-ph/0410100.

[34]  H. J. Kimble,et al.  Deterministic generation of a bit-stream of single-photon pulses , 1997 .

[35]  W. Marsden I and J , 2012 .

[36]  K. Jacobs,et al.  FEEDBACK CONTROL OF QUANTUM SYSTEMS USING CONTINUOUS STATE ESTIMATION , 1999 .