2个二能级原子与薛定谔猫态光场相互作用系统的量子特性
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摘要
利用全量子理论,研究了薛定谔猫态光场与2个二能级原子之间的相互作用系统的粒子布局数反转、第1个原子的信息熵和线性熵随时间的演化.分别讨论了初始光强度、原子的初态以及光场的不同相干态等物理量对系统的粒子数反转、第1个原子的信息熵和线性熵的影响.结果表明:原子处于同一种初始态时,初始光强度越强崩塌-复原现象越明显,然后振荡逐渐减少直至消失,奇相干态和偶相干态的粒子布局数反转随时间演化相同;原子处于基态和激发态,初始光强度一定时,粒子数反转崩塌-复原现象的振幅比其他初态大;随着初始光强度的增加,第1个原子的线性熵随时间推移振荡的幅度和周期都逐渐变大.
The population inversion and linear entropy in a system of two two-level atoms interacting with Schrdinger dinger cat state light field are studied by means of full quantum theory.The relation between entropy squeezing and linear entropy is discussed.The results show that with increasing the strength of light,collapse-recovery phenomenon becomes more obvious and then gradually reduces until it disappears when the atoms are in the same initial state.The atom being on ground state or excited state and strength of light being at a fixed value,the oscillating population inversion of even coherence state and odd coherent states evolves as the same form.The amplitude of collapse-recovery is larger than that in other states.With the increase in initial light intensity,the oscillation amplitude of the first atomic linear entropy becomes larger,and its period increases gradually as time goes on.
The population inversion and linear entropy in a system of two two-level atoms interacting with Schrdinger dinger cat state light field are studied by means of full quantum theory.The relation between entropy squeezing and linear entropy is discussed.The results show that with increasing the strength of light,collapse-recovery phenomenon becomes more obvious and then gradually reduces until it disappears when the atoms are in the same initial state.The atom being on ground state or excited state and strength of light being at a fixed value,the oscillating population inversion of even coherence state and odd coherent states evolves as the same form.The amplitude of collapse-recovery is larger than that in other states.With the increase in initial light intensity,the oscillation amplitude of the first atomic linear entropy becomes larger,and its period increases gradually as time goes on.
引文
[1]JAYNES E T,CUMMINGS F W.Comparison of Quantum and Semiclassical Radiation Theories with Application to Beam Master[J].Proceedings of the IEEE,1963,51(1):89-109.doi:10.1140/epjst/e 2008-00728-5
[2]宫艳丽,萨楚尔夫,崔英华.与二项式光场相互作用的运动原子熵压缩[J].分子与原子物理学报,2008,25(4):962-966.
[3]汪贤才,曹卓良.二项式光场与运动二能级原子相互作用系统的光场压缩效应[J].原子与分子物理学报,2006,23(5):872-876.
[4]BUXEK V.Light Squeezing in the Jaynes-Cummings Model with an Intensity-dependent Coupling[J].Journal of Modern Optics,1989,36(9):1151-1162.doi:10.1080/09500338914551181
[5]HEKMATARA H,TAVASSOLY M K.Sub-poissonian Statistics,Population Inversion and Entropy Squeezing of Two Two-level Atoms Interacting with a Single-mode Binomial Field:Intensity-dependence Coupling Regime[J].Optics Communications,2014,319:121-127.
[6]王艳清,萨楚尔夫,王亚男.薛定谔猫态光场与多光子跃迁运动二能级原子相互作用系统的保真度[J].河北师范大学学报(自然科学版),2015,39(1):32-37.doi:10.13763/j.cnki.jhebnu.nse.2015.01.006
[7]MARLAN O S,ZUBAIRY M S.Quantum Optics[M].Beijing:World Publishing Corporation,1996:193-219.
[8]OBADA A S,AHMED M M A,KHALIL E M.Entangled Two Two-level Atoms Interacting with a Cavity Field in the Presence of the Stark Shift Terms[J].Optics Communications,2013,287:215-223.doi:10.1140/epjd/e 2010-00261-x
[9]MA Junma,JIAO Zhiyong,LI Ning.Spin Squeezing of the Two Two-level Atoms Interaction with a Binomial Field[J].International Journal of Theoretical Physics,2008,47(5):1270-1277.doi:10.1007/s 10773-007-9560-6
[10]LIAO Qinghong,FANG Guangyu,WANG Yueyuan,et al.Single Atom Entropy Squeezing for Two Two-level Atoms Interacting with a Binomial Field[J].Optik,2011,122:1392-1398.
[2]宫艳丽,萨楚尔夫,崔英华.与二项式光场相互作用的运动原子熵压缩[J].分子与原子物理学报,2008,25(4):962-966.
[3]汪贤才,曹卓良.二项式光场与运动二能级原子相互作用系统的光场压缩效应[J].原子与分子物理学报,2006,23(5):872-876.
[4]BUXEK V.Light Squeezing in the Jaynes-Cummings Model with an Intensity-dependent Coupling[J].Journal of Modern Optics,1989,36(9):1151-1162.doi:10.1080/09500338914551181
[5]HEKMATARA H,TAVASSOLY M K.Sub-poissonian Statistics,Population Inversion and Entropy Squeezing of Two Two-level Atoms Interacting with a Single-mode Binomial Field:Intensity-dependence Coupling Regime[J].Optics Communications,2014,319:121-127.
[6]王艳清,萨楚尔夫,王亚男.薛定谔猫态光场与多光子跃迁运动二能级原子相互作用系统的保真度[J].河北师范大学学报(自然科学版),2015,39(1):32-37.doi:10.13763/j.cnki.jhebnu.nse.2015.01.006
[7]MARLAN O S,ZUBAIRY M S.Quantum Optics[M].Beijing:World Publishing Corporation,1996:193-219.
[8]OBADA A S,AHMED M M A,KHALIL E M.Entangled Two Two-level Atoms Interacting with a Cavity Field in the Presence of the Stark Shift Terms[J].Optics Communications,2013,287:215-223.doi:10.1140/epjd/e 2010-00261-x
[9]MA Junma,JIAO Zhiyong,LI Ning.Spin Squeezing of the Two Two-level Atoms Interaction with a Binomial Field[J].International Journal of Theoretical Physics,2008,47(5):1270-1277.doi:10.1007/s 10773-007-9560-6
[10]LIAO Qinghong,FANG Guangyu,WANG Yueyuan,et al.Single Atom Entropy Squeezing for Two Two-level Atoms Interacting with a Binomial Field[J].Optik,2011,122:1392-1398.