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Acta Optica Sinica

Jaynes—Cummings模型的非共振行为：原子能级占有几率和场的相干特性

范安辅, 林多梁

Published Jan 1, 1991• 0 citations
OpenAlex

Abstract

采用相互作用图景,对相干态Jaynes-Cummings(JC)模型在失谐情况下导出了严格的解析解。用数值计算研究了原子能级占有几率与时间,失谐量和初始平均光子数的关系,发现原子能级占有几率对失谐量也表现出量子塌缩和再生现象;讨论了再生时间与再生信号之间的干涉现象。用数值计算研究了场的相干态的时间发展,发现JC模型一个有趣而又重要的新现象,即对于短时间范围,场态的发展表现出准可逆性,并详细讨论了这个现象。更多还原

Related papers

SUSY hierarchies of Jaynes–Cummings Hamiltonians with different detuning parameters

İsmail Burak Ateş, Ş. Kuru, J. Negro

Abstract The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes–Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes–Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes–Cummings to anti-Jaynes–Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.

arXiv:2504.19943•Physica Scripta•Jul 30, 2025•0 citations

任意依赖强度耦合的Jaynes-Cummings模型与薛定谔猫态

晓光 王

线性叠加原理是量子力学的基本特征之一.物质波的量子干涉正是此原理作用的结果.最近,人们对两个或多个不同相干态的叠加即薛定谔猫态作了许多研究.研究表明,由于量子相干性,叠加的相干态具有完全不同于原有相干态的性质.例如,高阶压缩特性以及亚泊松分布和振荡光子数统计,还有反聚束效应等等.由于这些非经典效应的出现,使得对薛定谔猫态的研究具有深刻的意义.对于它的产生已有许多不同的方法.本文则研究了如何利用共振和大失谐两种情况下的任意强度耦合的Jaynes-Cummings模型以产生薛定谔猫态.一般产生量子态的方法有两种.一种是给定一个合适的哈密顿和初态,利用么正演

Chinese Science Bulletin (Chinese Version)•Sep 1, 1995•0 citations

Full spectrum of nonlinear Jaynes–Cummings and anti-Jaynes–Cummings models

Francesco Antonino Raffa, Mario Rasetti

The unitary transformation method is utilized for the closed form solution of the nonlinear generalization of the Jaynes–Cummings (JC) model, which includes arbitrary multiphoton and intensity-dependent interactions between radiation and matter. Specifically, the unitary transformation leading to the diagonalization of the relevant Hamiltonian is established and energy levels and eigenstates are derived. It is also shown that the results for the JC model can be extended to the anti-Jaynes–Cummings (AJC) model through the map between the two models.

International Journal of Quantum Information•Nov 29, 2017•2 citations

两Jaynes-Cummings原子间的纠缠动力学和转移特性（英文）

廖庆洪, 刘志伟, 袁硕 +2 more

采用两种不同的纠缠度量方法(并发度和负值度),研究了两Jaynes-Cummings原子之间的纠缠演化以及各子系统之间的纠缠转移,分析了两原子之间初始纠缠度对纠缠的影响.结果表明纠缠的幅值依赖于初始纠缠度,而解纠缠时间长度与初始纠缠度无关.制备了两个腔场之间的最大纠缠态,数值分析显示两原子之间的初始纠缠流入了其它各个子系统,导致演化过程中的纠缠突然死亡和纠缠突然产生现象.更多还原

ACTA PHOTONICA SINICA•Jan 1, 2016•0 citations

二项式光场与二能级原子相互作用的量子特性

学藻 任, 红璐 丛, 雷 黎 +1 more

我们利用相干态正交化展开方法, 研究了二项式光场作用下, 非旋波Jaynes-Cummings模型(JCM)的布居数反转以及光场的反聚束效应. 讨论了参数h 和失谐量对反聚束效应的影响, 同时也讨论了强耦合情况下的反聚束效应. 研究表明: 当耦合强度较大时, 光场的二阶相干度在旋波近似与非旋波近似下有较大的区别. 在非旋波近似下, 随失谐量的增大, 光场处于聚束效应的时间先增大后减小, 最终完全呈现出反聚束效应.

Zhongguo kexue. Wulixue Lixue Tianwenxue•Feb 1, 2010•0 citations

Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models

Ivan A. Bocanegra-Garay, Miguel Castillo-Celeita, J. Negro +2 more

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024

arXiv:2404.12438•Physical Review Research•Nov 27, 2024•11 citations
采用相互作用图景,对相干态Jaynes-Cummings(JC)模型在失谐情况下导出了严格的解析解。用数值计算研究了原子能级占有几率与时间,失谐量和初始平均光子数的关系,发现原子能级占有几率对失谐量也表现出量子塌缩和再生现象;讨论了再生时间与再生信号之间的干涉现象。用数值计算研究了场的相干态的时间发展,发现JC模型一个有趣而又重要的新现象,即对于短时间范围,场态的发展表现出准可逆性,并详细讨论了这个现象。更多还原
Abstract The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes–Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes–Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes–Cummings to anti-Jaynes–Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.
线性叠加原理是量子力学的基本特征之一.物质波的量子干涉正是此原理作用的结果.最近,人们对两个或多个不同相干态的叠加即薛定谔猫态作了许多研究.研究表明,由于量子相干性,叠加的相干态具有完全不同于原有相干态的性质.例如,高阶压缩特性以及亚泊松分布和振荡光子数统计,还有反聚束效应等等.由于这些非经典效应的出现,使得对薛定谔猫态的研究具有深刻的意义.对于它的产生已有许多不同的方法.本文则研究了如何利用共振和大失谐两种情况下的任意强度耦合的Jaynes-Cummings模型以产生薛定谔猫态.一般产生量子态的方法有两种.一种是给定一个合适的哈密顿和初态,利用么正演
The unitary transformation method is utilized for the closed form solution of the nonlinear generalization of the Jaynes–Cummings (JC) model, which includes arbitrary multiphoton and intensity-dependent interactions between radiation and matter. Specifically, the unitary transformation leading to the diagonalization of the relevant Hamiltonian is established and energy levels and eigenstates are derived. It is also shown that the results for the JC model can be extended to the anti-Jaynes–Cummings (AJC) model through the map between the two models.
采用两种不同的纠缠度量方法(并发度和负值度),研究了两Jaynes-Cummings原子之间的纠缠演化以及各子系统之间的纠缠转移,分析了两原子之间初始纠缠度对纠缠的影响.结果表明纠缠的幅值依赖于初始纠缠度,而解纠缠时间长度与初始纠缠度无关.制备了两个腔场之间的最大纠缠态,数值分析显示两原子之间的初始纠缠流入了其它各个子系统,导致演化过程中的纠缠突然死亡和纠缠突然产生现象.更多还原
我们利用相干态正交化展开方法, 研究了二项式光场作用下, 非旋波Jaynes-Cummings模型(JCM)的布居数反转以及光场的反聚束效应. 讨论了参数h 和失谐量对反聚束效应的影响, 同时也讨论了强耦合情况下的反聚束效应. 研究表明: 当耦合强度较大时, 光场的二阶相干度在旋波近似与非旋波近似下有较大的区别. 在非旋波近似下, 随失谐量的增大, 光场处于聚束效应的时间先增大后减小, 最终完全呈现出反聚束效应.
The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024