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Acta Sinica Quantum Optica

Entanglement and Thermal Entanglement in Two-photon Model with Atomic Motion

LI Qu-lian

Published Jan 1, 2008• 0 citations
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Abstract

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.

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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.
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.
Considering a moving two-level atom interacting with a single-mode thermal field through multi-photon process, in this paper we study the entropy exchange between the atom and the field by using quantum partial entropy and entanglement measured by using Concurrence, and investigate the effects of the initial atomic state, the atomic motion, the mean photon number and the transition photon number on entropy and entanglement. The results show that the entropy exchange and the entanglement exhibit the periodic evolution due to atomic motion, and entropy exchange occurs. The entanglement between the atom and the field is strengthened as the transition photon number increases. When the partial entropy exchange between atom and field is zero, the entanglement is also zero.
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.