Exact Solution for a Multiphoton Generalized Jaynes-Cummings Model with Inverse Operators

A new exactly solvable multiphoton generalized Jaynes-Cummings model is presented, whose Hamiltonian is related to the inverse of field mode creation and annihilation operators. Then we use supersymmetric unitary operators to diagonalize the Hamiltonian above and obtain their energy spectra and eigenstates. In addition, its pseudo-invariant eigen-operator is found as well, directly leading to the corresponding energy-level gap.     

The Generalized Thermo Jaynes–Cummings Model and?Its Energy Spectrum

By analyzing the characteristics of thermo field dynamics, we present a new generalized thermo Jaynes-Cummings (TJC) model at finite temperature including the thermal effects and expatiate on its physical explanation. By virtue of Lewis-Riesenfeld invariant method, we obtain its exact eigenenergy spectrum and the explicit expressions for the evolution operator of the wavefunctions. In addition, we evaluate various expectation values of physical quantities and find the pseudo-invariant eigen-operator for the generalized TJC Hamiltonian.     

Pseudo-invariant Eigen-Operator Method for Solving Field-Intensity-Dependent Jaynes-Cummings Model

By using Gumming （JC） model. energy-level gap of this the pseudo invariant eigen-operator method we The pseudo-invariant eigen-operator is found in JC Hamiltonian is derived. This approach seems analyze the field-intensity-dependent Jaynes terms of the supersymmetric generators. The concise.     

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator （PIEO） and energy-level gap are presented under one-order approximation.     

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator (PIEO) and energy-level gap are presented under one-order approximation.     

Enhancement of Squeezing in Two-Photon Jaynes-Cummings Model with Atomic Measurement

We investigate the squeezing properties of the cavity field in the degenerate two-photon Jaynes-Cummings model. Compared with the one-photon Jaynes-Cummings model, the squeezing is more pronounced in the case of two-photon Jaynes-Cummings model under certain conditions.     

Deriving Vibration Modes of Semi-infinite Chain Model by ＂Invariant Eigen-operator＂ Method

For the first time, we introduce a fully quantum mechanical Hamiltonian for a semi-infinite chain model of atoms. We then derive the vibration modes of this model by virtue of the ＂invariant eigen-operator＂ method in two different cases, which is concise and revealing.     

Supersymmetric Unitary Operator for Some Generalized Jaynes-Cummings Models

We introduce supersymmetric unitary operators to directly diagonalize some generalized Jaynes-Cummings (J-C) Hamiltonians; which more deeply shows that supersymmetry is a natural language to depict the J-C model.     

Two-photon revival-collapse phenomenon in the evolution of the quadrature squeezing of the four-photon Jaynes-Cummings model

We prove that the revival-collapse phenomenon occurring in the atomic inversion of the two-photon Jaynes-Cummings model, when the mode is initially prepared in the coherent state and the atom is in the excited state, can be obtained from the evolution of the quadrature squeezing of the four-photon Jaynes-Cummings model.     

Energy Level of Three-Mode Harmonic Oscillator for Coordinate Operators Satisfying Cyclic Commutative Relations Obtained by IEO Method

Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained. In this paper we apply the invariant eigen-operator （IEO） method to solving the energy spectrmn of the three-mode harmonic oscillator in non-commutative space with the coordinate operators satisfying cyclic commutative relations, [X1, X2] = [X2, X3]=[X3, X1] = iθ, and this method seems effective and concise.     

单个囚禁离子的Jaynes—Cummings模型

Ｃｉｒａｃ等人证明处于驻波光场波节处的单个囚禁两能级离子的动力学由Ｊａｙｎｅｓ－Ｃｕｍ－ｍｉｎｇｓ（Ｊ－Ｃ）模型描述。本文旨在推广这一结论。通过引入穿衣态描述，证明处于驻波光场中任意位置时，单个囚禁的两能级离子的动力学仍由相同模型描述。     

Solving Energy Levels for SSH Hamiltonian Describing Peierls Phase Transition by Virtue of Invariant Eigen-operator Method

We show that the recently proposed invariant eigen-operator （IEO） method can be successfully applied to solving energy levels for SSH Hamiltonian describing Peierls phase transition. The electronic energy band of compound lattice is also studied by IEO method.     

Quantum speed limit for the maximum coherent state under the squeezed environment

The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes–Cummings model and the dephasing model. For the damped Jaynes–Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed parameter r increasing and indicates symmetry about the phase parameter value θ = π. Meanwhile, the quantum speed limit time can also be influenced by the coupling strength between the system and environment. However, the quantum speed limit time for the dephasing model is determined by the dephasing rate and the boundary of acceleration region that interacting with vacuum reservoir can be broken when the squeezed environment parameters are appropriately chosen.     

附加克尔介质简并双光子J-C模型的动力学特性

本文利用密度算符间的距离研究了附加克尔介质简并双光子Jaynes-Cummings模型(JCM)的动力学特性.在与标准简并双光子Jaynes-Cummiungs模型以及附加克尔介质单光子Jaynes-Cummings模型相比较的基础上,详细讨论了克尔介质非线性相互作用对该模型动力学行为的影响.     

阻尼Jaynes-Cummings模型中两原子的量子关联动力学

几何量子失协 (geometrical quantum discord, GQD)是目前度量量子体系中量子关联的一种行之有效的方法, 本文利用几何量子失协考察了有阻尼存在的Jaynes-Cumming (J-C)模型中两原子的量子关联动力学. 给出了几何量子失协在原子和光场发生共振和非共振耦合两种情况下的动力学演化行为, 尤其揭示了阻尼耗散对几何量子失协的影响. 关键词： 阻尼Jaynes-Cummings(J-C) 模型 量子关联 几何量子失协 (GQD)     

Exact Solution of the Milburn Equation for the Two—Mode Two—Photon Jaynes—Cummings Model

We adopt an algebraic method to study the two-mode two-photon Jaynes-Cummings model governed by the Milburn equation and find an exact solution of Milburn equation of the system.The influence of the intrinsic decoherence on the nonclassical effects of the system is also discussed.     

附加克尔介质简并双光子J-C模型的动力学特性

本文利用密度算符间的距离研究了附加克尔介质简并双光子Jaynes－Cummings模型（JCM）的动力学特性．在与标准简并双光子Jaynes－Cummiungs模型以及附加克尔介质单光子Jaynes－Cummings模型相比较的基础上，详细讨论了克尔介质非线性相互作用对该模型动力学行为的影响．     

Quantum aspects of chaos for three-level atoms interacting with two harmonic oscillators

We treat a simple generalization of the Jaynes-Cummings model to three-level atoms interacting with two harmonic oscillators. The model allows for classical chaos even in the rotating wave approximation, as was recently shown by Shepelyanski. Under conditions most favorable for classical chaos we find linear level repulsion à la Wigner.     

All-quantized Jaynes-Cummings interaction for a trapped ultracold ion

We propose an all-quantized Jaynes-Cummings (JC) interaction between a trapped ultracold ion with a quantized radiation field. The carrier excitation gives the usual JC model in cavity QED, but the red and blue excitations will result in three-body interactions analogous to a two-mode problem in quantum optics.     

Path Integral for an Effective Two Level Atom in a Kerr-Like Medium and Stark Shift with a Pseudo Hermitian Hamiltonian

We use the coherent state path integral and a angular model for the spin to solve the generalized Jaynes-Cummings model with a pseudo-hermitian Hamiltonian and nonlinear Kerr cavity. The propagators are given explicitly as perturbation series. These are summed up exactly. The energy spectrum and the bi-orthonormal basis of states are deduced.