Photon blockade effect in optomechanical systems.

We analyze the photon statistics of a weakly driven optomechanical system and discuss the effect of photon blockade under single-photon strong coupling conditions. We present an intuitive interpretation of this effect in terms of displaced oscillator states and derive analytic expressions for the cavity excitation spectrum and the two-photon correlation function g(2)(0). Our results predict the appearance of nonclassical photon correlations in the combined strong coupling and sideband resolved regime and provide a first detailed understanding of photon-photon interactions in strong coupling optomechanics.

[1]  Christoph Simon,et al.  Towards quantum superpositions of a mirror , 2004 .

[2]  A. Leggett,et al.  Dynamics of the dissipative two-state system , 1987 .

[3]  Michael R. Vanner,et al.  Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity , 2009, 0901.1801.

[4]  Kun Huang,et al.  Theory of light absorption and non-radiative transitions in F-centres , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  J. Teufel,et al.  Circuit cavity electromechanics in the strong-coupling regime , 2010, Nature.

[6]  H. Gibbs Optical Bistability Controlling Light With Light , 1985 .

[7]  Carmichael,et al.  Quantum trajectory simulations of two-state behavior in an optical cavity containing one atom. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[8]  Michael J. Hartmann,et al.  Strongly interacting polaritons in coupled arrays of cavities , 2006, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[9]  K. Jacobs,et al.  Preparation of nonclassical states in cavities with a moving mirror , 1997 .

[10]  K. Vahala,et al.  Optomechanical crystals , 2009, Nature.

[11]  Markus Aspelmeyer,et al.  Focus on Mechanical Systems at the Quantum Limit , 2008 .

[12]  Ponderomotive control of quantum macroscopic coherence , 1996, quant-ph/9612005.

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

[14]  H. J. Kimble,et al.  Photon blockade in an optical cavity with one trapped atom , 2005, Nature.

[15]  A. Armour,et al.  Amplitude noise suppression in cavity-driven oscillations of a mechanical resonator. , 2009, Physical review letters.

[16]  D. Bouwmeester,et al.  The Physics of Quantum Information , 2000 .

[17]  G. J. Milburn,et al.  Single-photon opto-mechanics in the strong coupling regime , 2010, 1002.1517.

[18]  T. Kippenberg,et al.  Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the Heisenberg uncertainty limit , 2009 .

[19]  F. Brennecke,et al.  Cavity Optomechanics with a Bose-Einstein Condensate , 2008, Science.

[20]  J. B. Hertzberg,et al.  Preparation and detection of a mechanical resonator near the ground state of motion , 2009, Nature.

[21]  Holger Schmidt,et al.  Strongly Interacting Photons in a Nonlinear Cavity , 1997 .

[22]  Andrew D. Greentree,et al.  Quantum phase transitions of light , 2006, cond-mat/0609050.

[23]  S. Girvin,et al.  Dynamical multistability induced by radiation pressure in high-finesse micromechanical optical cavities. , 2005, Physical review letters.

[24]  M. Aspelmeyer,et al.  Observation of strong coupling between a micromechanical resonator and an optical cavity field , 2009, Nature.

[25]  S. Girvin,et al.  Single-photon optomechanics. , 2011, Physical review letters.

[26]  D. Stamper-Kurn,et al.  Cavity nonlinear optics at low photon numbers from collective atomic motion. , 2007, Physical review letters.

[27]  E. Wright,et al.  Theory of radiation-pressure-driven interferometers , 1985 .

[28]  Max Ludwig,et al.  The optomechanical instability in the quantum regime , 2008, 0803.3714.

[29]  H. Kimble,et al.  Cavity optomechanics with stoichiometric SiN films. , 2009, Physical review letters.

[30]  S. Bose,et al.  Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays , 2006, quant-ph/0606159.

[31]  Jean-Michel Raimond,et al.  Cavity Quantum Electrodynamics , 1993, Quantum Dynamics of Simple Systems.