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Chinese Journal of Quantum Electronics

Dynamical properties of two atoms in Bell states in a cavity

Zhuo‐Liang Cao

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The time-evolution characterizations of the population and dipole squeezing of two-level entangled atoms in Bell states interacting resonantly with a single-mode cavity field in the Fock state were presented. The results show that Bell states composed of two identical atoms can be partially distinguished.

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Acta Physica Sinica•Jan 1, 2006•43 citations
By means of time evolution operator, the emission spectrum from two two level entangled atoms in Bell states interacting with a single mode cavity field in the Fock state has been studied in the paper. The physical spectrum expression of radiation emitted by the atoms is given out for each Bell state. In general, the spectrum shows the symmetrical multi peak structure and the symmetrical three peak structure with the strong optical input. Bell states composed of two identical atoms can be partially distinguished in view of the characterizations of their emission spectrum
The time-evolution of atomic population of a light-atoms interaction system,two atoms in Bell states Interacting with two-mode entangled coherent field,are investigated by means of quantum thoery and numerical method.The effect of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atom's population are discussed by numerical calculation.The results show that the atomic population is time-independent provided that the atom is in |β11〉 state.For the other three Bell states,there will appear the periodical collapse-revival of the atomic population if the initial mean photon number reaches some special value.With the increase of the initial mean photon number,the oscillation frequency of the time-evolution of atomic population increases correspondingly,and the amplitude decreases.The revival period of the atomic population for the initial states |β00〉 and |β10〉 is twice of that for the initial state |β01〉.The degree of entanglement of the two-mode entangled coherent field and the intensity of two dipole-dipole interaction between atoms have no effects on the frequency of the Rabi oscillation,but have obvious effects on the amplitude of the oscillation.
The dynamical properties in the system of three identical two-level entangled atoms interacting with the Fock states field are investigated by mean of Schrodinger equation solution and numerical calculations. The results show that the time evolution of the atomic population operator and second order coherence degree depend on the degree of entanglement of the entangled atoms and the intensity of the Fock states optical field. If the two atoms are in un-entangled state, the atomic population reveals the periodic collapse and revival phenomenon. The atomic population reveals vacuum Rabi oscillation when the optical field is in vacuum state, and the Rabi oscillation frequency of the atomic population is shown to increase with the growth of the intensity of the optical field. If the two atoms are in entangled state, the photon reveals the bunching phenomenon with the growth of the degree of the entangled state, and the second-order correlation function is shown to increase with the growth of the degree of the entangled state.
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.