Large Detuning Limit for the Multipartite Systems Interacting with Electromagnetic Fields

We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields, focusing on the large detuning limit for the effective Hamiltonian. Due to the many-particle interference effects, the more rigorous large detuning condition for neglecting the rapidly oscillatin...

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Published inCommunications in theoretical physics Vol. 59; no. 4; pp. 411 - 416
Main Author 李虹轶 吴春旺 陈平形 李承祖
Format Journal Article
LanguageEnglish
Published 01.04.2013
Subjects
Dynamic tests
Dynamical systems
Dynamics
Electromagnetic fields
Focusing
Joining
Microparticles
Oscillating
多体系统动力学
多粒子
大失谐
干扰效果
有效哈密顿
电磁场
相互作用
耦合强度
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Abstract We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields, focusing on the large detuning limit for the effective Hamiltonian. Due to the many-particle interference effects, the more rigorous large detuning condition for neglecting the rapidly oscillating terms for the effective Plamiltonian should be △ 〉〉 N^1/2 g, instead of △ 〉〉 g usually used in the literature even in the case of multipartite systems, with N the number of microparticles involved, g the coupling strength, A the detuning. This result is significant since merely the satisfaction of the original condition will result in the invalidity of the effective Hamiltonian and the errors of the parameters associated with the detuning in the multipartite case.
AbstractList We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields, focusing on the large detuning limit for the effective Hamiltonian. Due to the many-particle interference effects, the more rigorous large detuning condition for neglecting the rapidly oscillating terms for the effective Plamiltonian should be △ 〉〉 N^1/2 g, instead of △ 〉〉 g usually used in the literature even in the case of multipartite systems, with N the number of microparticles involved, g the coupling strength, A the detuning. This result is significant since merely the satisfaction of the original condition will result in the invalidity of the effective Hamiltonian and the errors of the parameters associated with the detuning in the multipartite case.
We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields, focusing on the large detuning limit for the effective Hamiltonian. Due to the many-particle interference effects, the more rigorous large detuning condition for neglecting the rapidly oscillating terms for the effective Hamiltonian should be Delta >> N super(1/2)g, instead of Delta >> g usually used in the literature even in the case of multipartite systems, with N the number of microparticles involved, g the coupling strength, Delta the detuning. This result is significant since merely the satisfaction of the original condition will result in the invalidity of the effective Hamiltonian and the errors of the parameters associated with the detuning in the multipartite case.
Author 李虹轶 吴春旺 陈平形 李承祖
AuthorAffiliation College of Science, National University of Defense Technology, Changsha 410073, China
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Cites_doi 10.1103/PhysRevA.72.034301
10.1038/nature01336
10.1103/PhysRevLett.97.113603
10.1139/P07-060
10.1038/nphys832
10.1103/PhysRevA.76.033804
10.1103/PhysRevA.76.033809
10.1038/35106500
10.1103/PhysRevA.71.012333
10.1088/1674-1056/19/1/010313
10.1038/nature06670
10.1038/nature08121
10.1038/nphys1153
10.1088/1751-8113/40/5/011
10.1103/PhysRevLett.103.043601
10.1103/PhysRevA.75.014302
10.1103/PhysRevLett.97.033003
10.1103/PhysRevA.82.052106
10.1088/1674-1056/19/3/034205
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Notes LI Hong-Yi , WU Chun-Wang, CHEN Ping-Xing , and LI Cheng-Zu
We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields, focusing on the large detuning limit for the effective Hamiltonian. Due to the many-particle interference effects, the more rigorous large detuning condition for neglecting the rapidly oscillating terms for the effective Plamiltonian should be △ 〉〉 N^1/2 g, instead of △ 〉〉 g usually used in the literature even in the case of multipartite systems, with N the number of microparticles involved, g the coupling strength, A the detuning. This result is significant since merely the satisfaction of the original condition will result in the invalidity of the effective Hamiltonian and the errors of the parameters associated with the detuning in the multipartite case.
11-2592/O3
multipartite system, effective Hamiltonian, large detuning
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C.W. Wu (14) 2010; 19
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18
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E. Brion (10) 2007; 40
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SubjectTerms Dynamic tests
Dynamical systems
Dynamics
Electromagnetic fields
Focusing
Joining
Microparticles
Oscillating
多体系统动力学
多粒子
大失谐
干扰效果
有效哈密顿
电磁场
相互作用
耦合强度
Title Large Detuning Limit for the Multipartite Systems Interacting with Electromagnetic Fields
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