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Journal of Southwest China Normal University

Time Evolution of Atom-Cavity Entanglement and Thermal Entanglement in a Nonresonant System

Yuliang Li

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

Atomic-cavity entanglement in time evolution and thermal entanglement by means of concurrence are investigated for two-level atom system in cavity.The result shows that the atom-cavity maximal entangled state appears at the T=0,if it is Δ=0 or Δ=2g.There exists a critical temperature T_c=1.134gk,which is independent of a detuning frequency Δ.The thermal entanglement vanishes at the TT_c.and it decreases with the increasing of temperature at the TT_c.

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Atomic-cavity entanglement in time evolution and thermal entanglement by means of concurrence are investigated for two-level atom system in cavity.The result shows that the atom-cavity maximal entangled state appears at the T=0,if it is Δ=0 or Δ=2g.There exists a critical temperature T_c=1.134gk,which is independent of a detuning frequency Δ.The thermal entanglement vanishes at the TT_c.and it decreases with the increasing of temperature at the TT_c.
We investigated the system consisting of a two -level atom and cavity in a non -resonant case, atom -cavity entanglement in time evolution and the thermal entanglement by means of concurrence. The result shows that the atom-cavity maximal entangled state appears at T=0 under the condition △=0 or |△|=2g). There exists a critical temperature Tc=1.134hg/k which is independent of a detuning frequency △. The thermal entanglement vanishes under the condition TTc and it decreases with the increasing of temperature under the condition TTc.
We investigate atom-cavity entanglement in the time evolution and the thermal entanglement in two-photon Jaynes-Cummings model by means of concurrence. The result shows that atom-cavity entangled state appears with periodicity, which decreases with the increasing coupling strength between the atom and cavity; In finite temperature, the concurrence decreases with the increasing of temperature, thermal entanglement vanishes in this Jaynes-Cummings model when system temperature reaches the critical temperature, which is proportional to the coupling strength of atom-cavity. For typical experimental data, the critical temperature is on the order of 10~(-5) K.
We investigate the entanglement and thermal entanglement between moving atom and Single-mode cavity in two-photon model by means of concurrence.It is shown that initial photons number and field-mode structure parameter affect entanglement and thermal entanglement in a certain degree.The evolution period of thermal entanglement doesn't change when the coupling constant between atom and cavity field has different values,while,the time of the system in maximum entanglement decreases when coupling constant reduces.Thermal entanglement decreases with the increase of system temperature when the temperature is under critical temperature.
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.
In this paper, we investigate twoatom entanglement in time evolution and the thermal entanglement in a generalized JaynesCummings model by means of concurrence. The result shows that the twoatom entangled state appears with periodicity, which decreases with increasing dipoledipole coupling between the two atoms. In a finite temperature, the concurrence decreases with increasing temperature, and the thermal entanglement vanishes in this JaynesCummings model when the system temperature reaches the critical temperature, which is proportional to the dipoledipole coupling strength of the two atoms. For typical experimental data, the critical temperature is on the order of 10-5K. In addition, there exists the quantum phase transition in this JaynesCummings model