On the Dynamics of the Tavis-Cummings Model

• 成果类型: Article
• 署名作者: Dong, Zhiyuan; Zhang, Guofeng; Wu, Ai-Guo; Wu, Re-Bing
• 署名单位: Harbin Institute of Technology; Hong Kong Polytechnic University; Hong Kong Polytechnic University; Harbin Institute of Technology; Tsinghua University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3169582
• 发表日期: 2023
• 页码: 2048-2063
• 关键词: Open quantum systems; quantum control; Tavis-Cummings model; two-level systems (TLSs)

摘要

purpose of this article is to present a comprehensive study of the Tavis-Cummings model from a system-theoretic perspective. A typical form of the Tavis- Cummings model is composed of an ensemble of non-interacting two-level systems (TLSs) that are collectively coupled to a common cavity resonator. The associated quantum linear passive system is proposed, whose canonical form reveals typical features of the Tavis-Cummings model, including vN- scaling, dark states, bright states, single-excitation superradiant, and subradiant states. The passivity of this linear system is related to the vacuum Rabi mode splitting phenomenon in Tavis-Cummings sys-tems. On the basis of the linear model, an analytic form is presented for the steady-state output state of the Tavis- Cummings model driven by a single-photon state. Master equations are used to study the excitation properties of the Tavis-Cummings model in the multiexcitation scenario. Finally, in terms of the transition matrix for a linear time-varying system, a computational framework is proposed for calculating the state of the Tavis-Cummings model, which is applicable to the multiexcitation case.