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Chinese Physics Letters

Influence of Multi-Photon Process on Entanglement of Interacting System of the Qubit and Thermal Field

LI Wei-jun, Shangbin Li, Jing‐Bo Xu

Published May 1, 2004• 1 citation
Publisher

Abstract

We study the system of a single qubit couples to a single mode thermal field according to a multi-photon Jaynes–Cummings-type interaction with phase decoherence. Both the time evolving entanglement and the stationary state entanglement are calculated by adopting the log-negativity as a measure. It is found that the multi-photon process can enhance the stationary state entanglement of this system and can enlarge the range of the parameter Δ/ g and the mean photon number of initial thermal field in which the stationary state is distillable.

DOI
10.1088/0256-307x/21/5/003

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We study the system of a single qubit couples to a single mode thermal field according to a multi-photon Jaynes–Cummings-type interaction with phase decoherence. Both the time evolving entanglement and the stationary state entanglement are calculated by adopting the log-negativity as a measure. It is found that the multi-photon process can enhance the stationary state entanglement of this system and can enlarge the range of the parameter Δ/ g and the mean photon number of initial thermal field in which the stationary state is distillable.
AbstrcatWe investigate the time evolution of thermal entanglement between atom and single photon in Jaynes-Cummings model containing atomic motion by means of concurrence. It is shown that there exists a critical temperature, which is only determined by the coupling of atom-field system. The lower is the temperature of the system, the longer is the time of maintaining the thermal entangled state inside cavity field. For the coupling g=700 MHz, the critical temperature is up to the order of mK. In addition, we study the influence of the parameter of the system on thermal entanglement.
Concurrence was adopted to investigate the thermal entanglement produced by resonant multi-photon Jaynes-Cummings model with atomic motion. The results showed the presence of a critical temperature, above which thermal entanglement of atom and cavity field mode vanished. The critical temperature increased with the increase in coupling constant and the number of photons absorbed or emitted per atomic transition. The concurrence decreased with increasing temperature. For typical experimental data, the critical temperature was around the order of 10-5 K.
The entanglement between two two-level atoms (qubits) interacting not-resonantly with a one mode of thermal field in a lossless cavity via effective degenerate two-photon transitions is investigated. Based on the exact solution for the time-dependent density matrix of the system under consideration, negativity is calculated as a measure of the entanglement of atoms. The influence of a detuning on the dynamics of entanglement of atoms for separable and entangled initial atomic states and thermal cavity state is investigated.
We investigate thermal entanglement produced by resonant mul ti -photon Jaynes-Cummings model by means of the concurrence. It is shown that the concurrence decreases with the increasing of temperature. There exists a critica l temperature, above which thermal entanglement of atom and field mode vanishes. The critical temperature increases with the increasing of the coupling constant and the absorbing or emitting photon numbers per atomic transition. Thermal ent anglement can be generated under high temperature for sufficiently strong coupli ng.
The effects of a chaotic field on the entanglement dynamics in a system of interaction of a two-level atom with a single-mode cavity field prepared in a Glauber–Lachs state were investigated in the framework of the Jaynes–Cummings model. We found that the entanglement is a non-monotonic function of the ratio of the mean numbers of thermal photons and coherent photons or, equivalently, the degree of initial mixedness of the system. There is an optimal value of this ratio up to which thermal photons contribute increasingly to the entanglement and after which they weaken the strength of the entanglement.
How the mean photon number,the probability of excited state and intrinsic decoherence coefficient influence the time evolution of entanglement is unknown,when a single-mode quantized optic field and a two-level atom coupling system is governed by Milburn equation.The Jaynes-Cummings model is considered.A lower bound of concurrence is proposed to calculate the entanglement.Simulation results indicate that the entanglement of system increases following the increasing of intrinsic decoherence coefficient or the decreasing of the mean photon number.Besides that,the entanglement of the system decreases,while the probability of the exited state increases from 0 to 0.1,and increases,while the probability of the exited state increases from 0.1 to 1.