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Chinese Journal of Quantum Electronics

Time evolution of two-atom entanglement in Tavis-Cummings model

Wang Qin-mou

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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.

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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.
We investigate the entanglement time evolution of two entangled two-level atoms that interact resonantly with a single-mode field in the Fock state. The results show that the two-atom entanglement state appears with periodicity. The influence of the two-atom initial state, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the entanglement degree of two atoms are revealed. Meanwhile the two-atom quantum state will forever stay in the maximum entangled state when the initial state is proper.
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.
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.
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.
We investigated the entanglement time evolution of two entangled two-level atoms. The two atoms can undergo multiphoton transition when they interact resonantly with a single-mode field in the coherent state. The results show that the two-atom entangled state evolves periodicity. The influence of the two-atom initial state，the dipole-dipole coupling intensity between two atoms，the parameter of the coherent state and the number of the transitional photons on the entanglement degree of two atoms are revealed. When the initial state is a maximum entangled state，the state of the two entangled atoms will forever stay in this maximum entangled state. So this kind of entanglement state can be used for quantum information storage.