基于拉曼耦合Jaynes-Cumming-Paul模型的原子布居数反转动力学演化
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摘要
本文主要研究了拉曼耦合Jaynes-Cumming-Paul模型中原子布居数反转的动力学演化.讨论在不同初始状态时,在相互作用过程中原子布居数反转的演化情况.结果表明,无论原子处于相干还是非相干叠加态,只要当输入光场为Fock态时,反转现象明显;当输入光场为相干态时,反转现象存在但不明显;当输入光场为压缩真空态和热态时,几乎无反转现象.
In this paper,we study the dynamical evolution of population in the Raman coupled Jaynes-Cumming-Paul model. The population inversion is discussed for different initial states of atom and optical field.These results show that whether coherent or incoherent superposition for atom has the same effect for population inversion but different optical fields have obvious effect for population inversion. The inversion may happen for Fock state and coherent state,but no inversion is happened for squeezed vacuum state and thermal state.
In this paper,we study the dynamical evolution of population in the Raman coupled Jaynes-Cumming-Paul model. The population inversion is discussed for different initial states of atom and optical field.These results show that whether coherent or incoherent superposition for atom has the same effect for population inversion but different optical fields have obvious effect for population inversion. The inversion may happen for Fock state and coherent state,but no inversion is happened for squeezed vacuum state and thermal state.
引文
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[3]Zhang C H,Sachuerfu,Ge R L.Evolution of field entropy in a system of Schrodinger cat state light field interacting with two moving entangled atoms[J].J.At.Mol.Phys.,2008,25:1415(in Chinese)[张彩花,萨楚尔夫,格日乐.运动纠缠双原子与薛定谔猫态光场相互作用系统的场熵演化[J].原子与分子物理学报,2008,25:1415]
[4]Lu D M.Entropy evolution of the field in the system of the cascade three-level atom interacting with coherent state field[J].J.At.Mol.Phys.,2006,23:911(in Chinese)[卢道明.级联三能级原子与相干光场相互作用的场熵演化[J].原子与分子物理学报,2006,23:911]
[5]Jaynes E T,Cummings F W.Comparison of quantum and semiclassical radiation theories with applications to the beam maser[J].Proc.IEEE,1963,51:89.
[6]Paul H.Induzierte emission bei starker einstrhlung[J].Ann.Phys.1963,11:411.
[7]Shore B W.The theory of coherent atomic excitations[M].New York:Wiley,1990.
[8]Shore B W,Knight P L.Topical review:The JaynesCummings model[J].J.Mod.Opt.1993,40:1195.
[9]Zhang L,Qiang W C.Scheme for preparation of W state in cavity QED[J].J.At.Mol.Phys.,2015,32:115[张磊,强稳朝.基于腔QED制备W纠缠态[J].原子与分子物理学报,2015,32:115]
[10]Zhang L,Qiang W C.Generation of W entangled states via two-photon large-detuned interaction of V-type three-level atoms and two-mode cavityfield[J].J.At.Mol.Phys.,2015,32:635(in Chinese)[张磊,强稳朝.利用V-型三能级原子与双模腔肠双光子大失谐相互作用制备W纠缠态[J].原子与分子物理学报,2015,32:635]
[11]Luo A,Liu X J,Peng C H,et al.Logical gate control of maximum coherence restore of atom in multiphoton process[J].J.At.Mol.Phys.,2016,33:309(in Chinese)[罗岸,刘小娟,彭朝晖,等.逻辑门操控内多光子过程中原子最大相干态恢复[J].原子与分子物理学报,2016,33:309]
[12]Wang P,Wu J F,Liao Q H,et al.Study on the linear entropy and quantum state transfer of trapped ions in a standing wave laser field[J].J.At.Mol.Phys.,2016,33:1069(in Chinese)[王平,吴俊芳,廖庆洪,等.驻波激光场中囚禁离子的线性熵和量子态转移研究[J].原子与分子物理学报,2016,33:1069]
[13]Ruan F,Wang Z J.Nonclassical properties of nonlinear photon-added thermal state[J].J.At.Mol.Phys.,2017,34:119(in Chinese)[阮飞,王中结.非线性增光子热态的非经典特性[J].原子与分子物理学报,2017,34:119]
[14]Li P M,Sachuerfu,Su S L.Quantum properties in a system of interaction between a two-level atom and the Schrodinger cat state[J].J.At.Mol.Phys.,2015,32:275(in Chinese)[李鹏茂,萨楚尔夫,苏少龙.薛定谔猫态光场与二能级原子相互作用系统的量子特性[J].原子与分子物理学报,2015,32:275]
[15]Schleich W P.Quantum optics in phase space[M].Berlin:Wiley-VCH,2001.
[16]Scully M O,Zubairy M S.Quantum optics[M].Cambridge:Cambridge University Press,1997.