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Journal of Dalian Jiaotong University

Evolution Properties of Entanglement of Two Coupling Atoms in Tavis-Cummings Model

Liu Hui-Ping

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

Atomic evolution properties of entanglement are represented by concurrence,and the effects of atoms-coupling on the properties are considered within the context of the Tavis-Cummings model.Two coupling two-level atoms interact with a quantized cavity field,and the explicit forms of the evolution operator are given.It is found that atomic entanglement can always be kept though atoms are initially unentangled.The results also show that the amplitude of the entanglement evolution oscillation increases,and the periods of the oscillation become longer with increasing atomic coupling effect.When atomic coupling is strong enough,atomic entanglement evolution behavior is similar to that of the Heisenberg model.Atomic entanglement evolution properties have relations with atomic population.

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Atomic evolution properties of entanglement are represented by concurrence,and the effects of atoms-coupling on the properties are considered within the context of the Tavis-Cummings model.Two coupling two-level atoms interact with a quantized cavity field,and the explicit forms of the evolution operator are given.It is found that atomic entanglement can always be kept though atoms are initially unentangled.The results also show that the amplitude of the entanglement evolution oscillation increases,and the periods of the oscillation become longer with increasing atomic coupling effect.When atomic coupling is strong enough,atomic entanglement evolution behavior is similar to that of the Heisenberg model.Atomic entanglement evolution properties have relations with atomic population.
The entanglement time evolution of Tavis-Cummings model with Gaussian coupling is investi- gated.The entanglement between coherent field and two atoms is explored by using the quantum reduced entropy,and the entanglement between two atoms is studied by using Negativity entropy.Using the numer- ical method,the influences of the atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the entanglement are discussed.The results indicate that the time evolutions of the two entanglements are similar.But at the same time the stronger the entanglement between field and two atoms is,the weaker that between the two atoms is.The motion affects the entanglement.When the mean photon number increases,the Rabi frequency increases while the vibration amplitude decreases.When the atomic initial state changes,the entanglement appears similar time evolution.
The properties of entanglement evolution between field and two atoms in Gaussian coupling Tavis-Cummings model in the multi-photon transition process are studied on the quantum theory.The influence on the properties of entanglement evolution between field and two atoms from atomic motion,the mean photon number in initial states of the light field,number of transition photons in the multi-photon transition process are discussed.The results show that the variation of atomic motion changes the time for the effective action to the evolution of field entropy.Initial states of the light field affect the evolution period to field entropy.With the increasing of the number of transition photons,the oscillation frequency and the mean degree of entanglement between field and atoms become larger.
We investigate the entanglement time evolution of Tavis-Cummings model with Gaussian coupling by means of quantum theory.Using the numerical method,the influences of the atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the entanglement between the field and two identical atoms are discussed.The results of the studies indicate that the motion affects the entanglement.When the mean photon number increases,the Rabi frequency increases while the vibration amplitude decreases.When the atomic initial state changes,the entanglement appears the similar time evolution.
This paper studies the quantum entanglement of the Tavis-Cummings model for two steady identical two-level atoms interac-ting with a single-mode field. Whe n the field is vacuum and the two atoms stay in Einstein-Podolsky-Rosem entangle d state or disentangled state initially, we obtain that the system will evol ve to a three-body approximate W entangled state. The entanglement measure will change with the variation of system initial state, coupling coefficients, detuni ng degree and atomic population inversion. It should be noted that the atomic co upling coefficient exhibits the nonlinear effect and the entanglement measure os cillates periodically in accordance with atomic population inversion.
Using Tavis-Cummings model,the evolution of the atom's occupancy in interaction of two coupling two-level atoms with the single mode coherent field through multiphoton transition is studied.The influences of coupling coefficient between atoms,the initial mean photon number of field and the degree of entanglement of two atoms on the evolution of the atom's occupancy are discussed.The results obtained by numerical calculations show that the initial mean photon number of field influences violently the evolution properties of the atom's occupancy,the influence of coupling coefficient between atoms may be neglected,and the degree of entanglement of two atoms influences the reverse of atoms.