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Chinese Journal of Quantum Electronics

Entanglement properties of atoms in Tavis-Cummings model with Gaussian coupling

Yongping Li

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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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.
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.
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.
The quantum properties of atoms in double-atom Tavis-Cummings model with Gaussian atom-field coupling are studied.The influence of atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the atomic population inversion and double-atom dipole squeezing are analysed numerically.We find that the motion affects the collapse and revival of the atomic inversion,but it doesn't affect the maximun dipole squeezing.The maximun dipole squeezing can be got when the field is vacuum and the atoms are in some special entangled state at the begining.
The field entropy evolution of two moving atoms interacting with the binomial field in Tavis-Cummings model is studied by means of the quantum theory.The influences of atomic motion and the parameters of the binomial optical field under different initial states are discussed emphatically.With the increase of the parameters of the binomial optical field,the entanglement degree between field and atoms is strengthened firstly and is weakened later.When the field is in the middle states,And as the speed of the moving atoms increases,the atom-field system will stay in the maximum entangled state.the entanglement degree between the field and atoms is weaken and the periodicity of the evolution of the field entropy decreased.When the field is in the middle states and the atoms is at the lower speed,the entanglement between the binomial field and the two atoms can be kept for much longer time.
Based on the entanglement degree of two subsystem which can be measured by the negative eigenvalues of the partial transposition matrix,time evolution of entanglement degree of two atoms in the Tavis-Cummings model,which is interacted with a field in the Fock state,is investigated by numerical methods.When these two atoms are initially prepared in mixed states,the results show that the field in the Fock state,the initial state of two-atom and the coupling constant between the field and the two-atoms have a dramatic influence on the time evolution character of entanglement degree of two atoms.
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.