Approach to a generalized Jaynes-Cummings model and the geometric phase

Tang, Zijie

doi:10.1103/physreva.52.3448

Cited by 10 publications

(10 citation statements)

References 22 publications

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“…It is difficult to extend these methods to the time-dependent JC models, or to the case where the atoms have higher (> 2) energy levels. In a previous paper 9 , we employed a right-unitary transformation (RUT) to solve exactly a generalized two-level JC model and pointed out that there exists a geometric phase in the model.…”

Section: Inverses Of Bosonic Operators and Examples Of Rutmentioning

confidence: 99%

“…The approach of the stationary two-level JC models by using the RUT method can be found in Ref. [9]. In this subsection, we consider such a case that the radiation field interacting with the two-level atoms varies with the external source.…”

Section: Two-level Nonstationary Jaynes-cummings Modelmentioning

confidence: 99%

“…In a previous paper 9 , we introduced an alternative method: right-unitary transformation (RUT), to deal with the two-level Jaynes-Cummings model 10 , which is a basis of the fullyquantum description of radiation-matter interaction, and widely used in quantum optics, quantum electronics, etc. It was defined in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…It was defined in Ref. [9] that if an operator U satisfies the conditions: UU † = 1, U † U = 1, it belongs to RUT. In a strict sense, U is a special nonunitary operator that has a right-unitary inverse only.…”

Section: Introductionmentioning

confidence: 99%

“…However, in Ref. [9], we found that various JC models can be solved exactly by the RUT method. This method not only shows its own merits such as simplicity and general applicability, but also leads to a deep understanding of the JC models in essence.…”

Section: Introductionmentioning

confidence: 99%

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Right-unitary transformation theory and applications

Tang

1996

Phys. Rev. A

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We develop a new transformation theory in quantum physics, where the transformation operators, defined in the infinite dimensional Hilbert space, have right-unitary inverses only. Through several theorems, we discuss the properties of state space of such operators. As one application of the right-unitary transformation (RUT), we show that using the RUT method, we can solve exactly various interactions of many-level atoms with quantized radiation fields, where the energy of atoms can be two levels, three levels in Lambda, V and equiv configurations, and up to higher (>3) levels. These interactions have wide applications in atomic physics, quantum optics and quantum electronics. In this paper, we focus on two typical systems: one is a two-level generalized Jaynes-Cummings model, where the cavity field varies with the external source; the other one is the interaction of three-level atom with quantized radiation fields, where the atoms have Lambda-configuration energy levels, and the radiation fields are one-mode or two-mode cavities.Comment: 51 pages, RevTeX; Figures not included but may be obtained from author by snail-mail; Accepted for publication by Phys. Rev.

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Section: Inverses Of Bosonic Operators and Examples Of Rutmentioning

confidence: 99%

Section: Two-level Nonstationary Jaynes-cummings Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Right-unitary transformation theory and applications

Tang

1996

Phys. Rev. A

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Field and atomic dipole squeezing in the thermal two-photon Jaynes-Cummings model

1997

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Dynamical symmetry and geometric phase

et al. 2007

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By considering dynamical symmetry between canonically equivalent systems, we investigate the connection between the geometric phase and dynamical invariants, where the Liouville–von-Neumann equation is directly deduced. Furthermore, we show that an arbitrary shift of the Hamiltonian , where fi(t) is a real function and Xi is a generator of dynamical symmetry, leaves the geometric phase invariant.

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Approach to a generalized Jaynes-Cummings model and the geometric phase

Cited by 10 publications

References 22 publications

Right-unitary transformation theory and applications

Right-unitary transformation theory and applications

Field and atomic dipole squeezing in the thermal two-photon Jaynes-Cummings model

Dynamical symmetry and geometric phase

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