腔光机械系统的纠缠演化特征
|
摘要
为深入了解微型腔光机械系统的量子效应,对双腔光机械系统的光场模纠缠演化特性进行研究,重点分析了初始态参数对系统量子纠缠的影响.结果表明:随着初始态参数α的增大,系统将达到最大纠缠态,即系统的纠缠度为1;另外,系统纠缠度越大,纠缠度随时间演化的衰减速率就越大;然而,系统纠缠度越大,纠缠存活的时间就越长,这个特性对于应用是有益处的.
In order to further understand the quantum effects of micro-optomechanical systems, the evolution characteristic of the field mode entanglement of two-optomechanical system is investigated. The influence of initial state parameters on quantum entanglement is analyzed. The results show that the entanglement of the system reach its maximum with the increase of the initial state parameter α. In addition, the larger the entanglement of the system is, the larger the entanglement decay rate is, as time increases. However, the survival time of the entanglement is longer when the entanglement of the system is increasing. It is beneficial to practical applications.
In order to further understand the quantum effects of micro-optomechanical systems, the evolution characteristic of the field mode entanglement of two-optomechanical system is investigated. The influence of initial state parameters on quantum entanglement is analyzed. The results show that the entanglement of the system reach its maximum with the increase of the initial state parameter α. In addition, the larger the entanglement of the system is, the larger the entanglement decay rate is, as time increases. However, the survival time of the entanglement is longer when the entanglement of the system is increasing. It is beneficial to practical applications.
引文
[1]ASPELMEYER M,KIPPENBERG T J,MARQUARDT F.Cavity optomechanics[J].Review of Modern Physics,2013,86:1391-1452.
[2]LAHAYE M D,BUU O,CAMAROTA B,et al.Approaching the quantum limit of a nanomechanical resonator[J].Science,2004,304:74-77.
[3]EKINCI K L.Ultimate limits to inertial mass sensing based upon nanoelectromechanical systems[J].Journal of Applied Physics,2003,95:2682-2689.
[4]CAVES C M.Quantum-mechanical radiation-pressure fluctuations in an interferometer[J].Physical Review Letters,1980,45:75-79.
[5]SCHWAB K C,ROUKES M L.Putting mechanics into quantum mechanics[J].Physics Today,2005,58:36-42.
[6]COHADON P F,HEIDMANN A,PINARD M.Cooling of a mirror by radiation pressure[J].Physical Review Letters,1999,83:3174-3177.
[7]YAN X Q.Entanglement sudden death of two atoms successive passing a cavity[J].Chaos Solitons&Fractals,2009,41:1645-1650.
[8]YAN X Q,WANG F Z.Quantum discord and entanglement of two atoms in a micromaser-type system[J].Modern Physics Letters B,2016,30(15):1650190(1)-1650190(16).
[9]岳转林,闫学群.耗散系统中原子与场熵交换的条件[J].天津工业大学学报,2013,32(6):81-84.YUE Z L,YAN X Q.Condition for entropy exchange between atom and field in damped system[J].Journal of Tianjin Polytechnic University,2013,32(6):81-84(in Chinese).
[10]MANCINI S,GIOVANNETTI V,VITALI D,et al.Entangling macroscopic oscillators exploiting radiation pressure[J].Physical Review Letters,2002,88:120401(1)-120401(4).
[11]VITALI D,GIGAN S,FERREIRA A,et al.Optomechanical entanglement between a movablemirror and a cavity field[J].Physical Review Letters,2007,98:030405(1)-030405(4).
[12]BARZANJEH S,VITAIL D,TOMBESI P,et al.Entangling optical and microwave cavity modes by meanes of a nanomechanical resonator[J].Physical Review A,2011,84:042342(1)-042342(4).
[13]苗长云,罗统荣,白华.基于以太网的多路超声波自动检测系统[J].天津工业大学学报,2016,35(1):43-49.MIAO C Y,LUO T R,BAI H.Multi-channel automatic ultrasonic testing system based on Ethernet[J].Journal of Tianjin Polytechnic University,2016,35(1):43-49(in Chinese).
[14]李鸿强,孙杰,张诚,等.基于AWG的多通道光纤光栅传感解调系统[J].天津工业大学学报,2016,35(2):65-71.LI H Q,SUN J,ZHANG C,et al.Multi-channel FBG sensor de modulation system based on arrayed waveguide grating(AWG)[J].Journal of Tianjin Polytechnic University,2016,35(2):65-71(in Chinese).
[15]RABL P,STANNIGEL K,SORENSEN A,et al.Opto-mechanical transducers for long-distancequantum communication applications[J].Physical Review Letters,2010,105:220501(1)-220501(4).
[16]STANNIGEL K,KOMAR P,HABRAKEN S J,et al.Optomechanical quantum information processing with photons and phonons[J].Physical Review Letters,2012,109:493-500.
[17]TIAN L.Adiabatic state conversion and pulse transmission in optomechanical systems[J].Physical Review Letters,2012,108:329-335.
[18]WOOTTERS W K.Entanglement of formation of an arbitrary state of two qubits[J].Physical Review Letters,1997,80:2245-2248.
[2]LAHAYE M D,BUU O,CAMAROTA B,et al.Approaching the quantum limit of a nanomechanical resonator[J].Science,2004,304:74-77.
[3]EKINCI K L.Ultimate limits to inertial mass sensing based upon nanoelectromechanical systems[J].Journal of Applied Physics,2003,95:2682-2689.
[4]CAVES C M.Quantum-mechanical radiation-pressure fluctuations in an interferometer[J].Physical Review Letters,1980,45:75-79.
[5]SCHWAB K C,ROUKES M L.Putting mechanics into quantum mechanics[J].Physics Today,2005,58:36-42.
[6]COHADON P F,HEIDMANN A,PINARD M.Cooling of a mirror by radiation pressure[J].Physical Review Letters,1999,83:3174-3177.
[7]YAN X Q.Entanglement sudden death of two atoms successive passing a cavity[J].Chaos Solitons&Fractals,2009,41:1645-1650.
[8]YAN X Q,WANG F Z.Quantum discord and entanglement of two atoms in a micromaser-type system[J].Modern Physics Letters B,2016,30(15):1650190(1)-1650190(16).
[9]岳转林,闫学群.耗散系统中原子与场熵交换的条件[J].天津工业大学学报,2013,32(6):81-84.YUE Z L,YAN X Q.Condition for entropy exchange between atom and field in damped system[J].Journal of Tianjin Polytechnic University,2013,32(6):81-84(in Chinese).
[10]MANCINI S,GIOVANNETTI V,VITALI D,et al.Entangling macroscopic oscillators exploiting radiation pressure[J].Physical Review Letters,2002,88:120401(1)-120401(4).
[11]VITALI D,GIGAN S,FERREIRA A,et al.Optomechanical entanglement between a movablemirror and a cavity field[J].Physical Review Letters,2007,98:030405(1)-030405(4).
[12]BARZANJEH S,VITAIL D,TOMBESI P,et al.Entangling optical and microwave cavity modes by meanes of a nanomechanical resonator[J].Physical Review A,2011,84:042342(1)-042342(4).
[13]苗长云,罗统荣,白华.基于以太网的多路超声波自动检测系统[J].天津工业大学学报,2016,35(1):43-49.MIAO C Y,LUO T R,BAI H.Multi-channel automatic ultrasonic testing system based on Ethernet[J].Journal of Tianjin Polytechnic University,2016,35(1):43-49(in Chinese).
[14]李鸿强,孙杰,张诚,等.基于AWG的多通道光纤光栅传感解调系统[J].天津工业大学学报,2016,35(2):65-71.LI H Q,SUN J,ZHANG C,et al.Multi-channel FBG sensor de modulation system based on arrayed waveguide grating(AWG)[J].Journal of Tianjin Polytechnic University,2016,35(2):65-71(in Chinese).
[15]RABL P,STANNIGEL K,SORENSEN A,et al.Opto-mechanical transducers for long-distancequantum communication applications[J].Physical Review Letters,2010,105:220501(1)-220501(4).
[16]STANNIGEL K,KOMAR P,HABRAKEN S J,et al.Optomechanical quantum information processing with photons and phonons[J].Physical Review Letters,2012,109:493-500.
[17]TIAN L.Adiabatic state conversion and pulse transmission in optomechanical systems[J].Physical Review Letters,2012,108:329-335.
[18]WOOTTERS W K.Entanglement of formation of an arbitrary state of two qubits[J].Physical Review Letters,1997,80:2245-2248.