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Analytical solution and entanglement swapping of a double Jaynes–Cummings model in non-Markovian environments

2015/05/03 by Hong-Mei Zou, Hong‐Mei Zou, Mao-Fa Fang
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Atom (system on chip) #Bipartite graph #Computer science #Coupling (piping) #Dissipation #Jaynes–Cummings model #Markov process #Master equation #Materials science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum optics #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Theoretical computer science #quant-ph

paper · pdf · doi:10.1007/s11128-015-1006-0

published as Quantum Information Processing,2015,14(7):2673-2686 · 14 pages, 9 figures,

openalex publication_date 2015/05/03 · arxiv created 2018/11/01 · arxiv updated 2019/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments are investigated by the timeconvolutionless master equation method. We obtain the analytical solution of this model and discuss in detail the influence of atom-cavity coupling, non-Markovian effect and initial state purity on entanglement dynamics. The results show that, in the non-Markovian environments, the entanglement between two cavities can be swapped to other bipartite subsystems by interaction between an atom and its own cavity. Due to the dissipation of environment, the entanglements of all bipartite subsystems will eventually decay to zero when the atom couples weakly to its cavity and the non-Markovian effect is also weak. All bipartite subsystems can tend to steady entanglement states if and only if there is the strong atom-cavity coupling or the strong non-Markovian effect. The steady state of the subsystem composed of an atom and its own cavity is independent on the purity but the steady states of other bipartite subsystems are dependent on the purity.

Citations