光力系统中的单光子自发辐射
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摘要
应用微观主方程和衰减基方法研究了光力系统中的单光子自发辐射。简单的光力系统通过辐射压力将机械振动模与光学腔模耦合起来。与量子光学中常用的主方程相比,微观主方程能够描述能量本征态的衰减,更准确地处理与衰减过程相关的问题。在研究单光子自发辐射过程的时间演化时,应用衰减基方法求解微观主方程。腔模平均光子数的计算结果表明,光力系统能量激发态的衰减过程按照一定的权重叠加共同影响了单光子的自发辐射过程。另外,微观主方程也可用于超强耦合光力系统中相关问题的讨论。
The spontaneous radiation of single photon in optomechanical system is investigated by using the microscopic master equation and damping bases method.A mechanical vibration mode and an optical cavity mode are coupled through radiation pressure in typical optomechanical system.Compared with the quantum optical master equation,microscopic master equation can describe the decay of energy eigen-state and deal with the problems related to the decay process more accurately.In the study of time evolution of the single photon spontaneous emission process,the damping bases method is used to solve the microscopic master equation.The mean photon number calculation results of cavity mode show that the probabilitysuperposition of decay process of excited states determines the spontaneous radiation of single photon in optomechanical system.In addition,the microscopic master equation can also be used to deal with some related problems in ultrastrong coupling optomechanics.
The spontaneous radiation of single photon in optomechanical system is investigated by using the microscopic master equation and damping bases method.A mechanical vibration mode and an optical cavity mode are coupled through radiation pressure in typical optomechanical system.Compared with the quantum optical master equation,microscopic master equation can describe the decay of energy eigen-state and deal with the problems related to the decay process more accurately.In the study of time evolution of the single photon spontaneous emission process,the damping bases method is used to solve the microscopic master equation.The mean photon number calculation results of cavity mode show that the probabilitysuperposition of decay process of excited states determines the spontaneous radiation of single photon in optomechanical system.In addition,the microscopic master equation can also be used to deal with some related problems in ultrastrong coupling optomechanics.
引文
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[2]Groeblacher S,Hammerer K,Vanner MR,et al.Observation of strong coupling between a micromechanical resonator and an optical cavity field[J].Nature, 2009,460(7256):724-727.
[3]Teufel J D,Li D,Allman M S,et al.Circuit cavity electromechanics in the strong-coupling regime[J].Nature,2011,471(7337):204-208.
[4]Li Q,Zhang Z M.Steady-state squeezing of mechanical modes in a ring-cavity optomechanical system via cubic nonlinearity[J].Chinese Journal of Quantum Electronics(量子电子学报),2017,34(6):705-712(in Chinese).
[5]Xiao Y,Yu Y F,Zhang Z M.Controllable optomechanically induced transparency and ponderomotive squeezing in an optomechanical system assisted by an atomic ensemble[J].Optics Express,2014,22(15):17979-17989.
[6]Aspelmeyer M,Kippenberg T J,Marquardt F.Cavity optomechanics[J].Reviews of Modern Physics,2014,86(4):1391-1452.
[7]Breuer H P,Petruccione F.The Theory of Open Quantu,m Systems[M].Oxford:Oxford University Press,2002.
[8]Nunnenkamp A,Borkje K,Girvin S M.Single-photon optomechanics[J].Physical Review Letters,2011,107(6):063602.
[9]Hu D,Huang S Y,Liao J Q,et al. Quantum coherence in ultrastrong optomechanics[J].Physical Review A,2015,91(1):013812.
[10]Scala M,Militello B,Messina A,et al. Microscopic derivation of the Jaynes-Cummings model with cavity losses[J].Physical Review A,2007,75(1):013811.
[11]Yu S M,Gao Y B,Ian H.Perturbative dissipation dynamics of a weakly driven cavity QED system:Generalized microscopic master equation[J].Quantum Information Processing,2017,16(11):283.
[12]Briegel H,Englert B.Quantum optical master equations:The use of damping bases[J].Physical Review A,1993,47(4):3311-3329.
[13]Johansson J R,Nation P D,Nori F.QuTiP:An open-source Python framework for the dynamics of open quantum systems[J].Computer Physics Communications,2012,183(8):1760-1772.