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Chinese Journal of Quantum Electronics

Evolution of atom's occupancy of two-atom system at mixed state in cavity QED

MA Mei-juan

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

The time evolution of atom's occupation in a double Jaynes-Cummings model,where two atoms are in mixed state,was investigated by full quantum theory and numerical method,and the influences of atomic initial state and mean photon number in cavity on atom's occupancy are discussed.The results show when the two cavities have the same photon number,evolution of atom's occupation is only related to the purity r of atomic initial state and field intensity,but not influenced by initial entanglement.If the mean photon number in cavities is not equal,the evolution of atom's occupation is not only related to the purity r and field intensity,but also strongly influenced by the initial entanglement.

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The time evolution of atom's occupation in a double Jaynes-Cummings model,where two atoms are in mixed state,was investigated by full quantum theory and numerical method,and the influences of atomic initial state and mean photon number in cavity on atom's occupancy are discussed.The results show when the two cavities have the same photon number,evolution of atom's occupation is only related to the purity r of atomic initial state and field intensity,but not influenced by initial entanglement.If the mean photon number in cavities is not equal,the evolution of atom's occupation is not only related to the purity r and field intensity,but also strongly influenced by the initial entanglement.
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.
The entanglement time evolution properties of the two atoms in the system of the two identical entangled two-level atoms interacting with coherent field are studied by means of full quantum theory.Using the numerical method,the influence of the initial entanglement of atoms and the intensity of field on the entanglement measuremont-concurrence is discussed.The results show that the peaks of the concurrence oscillations increase with the increasing of the initial degree of entanglement of two entangled atoms.The oscillation of the concurrence presents collapses and revivals with the increasing of the mean photon number,while its periodicity is more and more evident.
The time-evolution of the atom′s occupancy in the system of two-mode entangled coherent fields interacting with two atoms in Bell states via two-photon process is investigated by means of quantum theory.The results show that the atom′s occupancy is zero if the two atoms are initially in Bell state |β11.If the two atoms are initially in the other three Bell states,the oscillation frequency of the atom′s occupancy accelerates and the amplitude decreases apparently with the increase of mean photon numbers of field.The degree of the entanglement for the entangled coherent fields can′t influence the oscillation frequency and the position of the atom′s occupancy curve.If the two atoms are initially in Bell state |β01,the Rabi oscillation frequency of the atom′s occupancy accelerates apparently with the increase of the coupling strength of interaction between atoms.While the two atoms are initially in Bell state |β10 or |β00,the collapse-revival phenomenon of the atom′s occupancy disappears gradually.
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.
By employing the concurrence, we investigate the dynamics of entanglement between two atoms in a double two-photon Jaynes-Cummings model when the cavity field is previously in a maximally entangled state. The influence of the atomic coherence on the time evolution of the atom-atom entanglement is examined. It is shown that the phenomenon of the sudden birth of entanglement occurs, and the atomic coherence decreases the degree of the atom-atom entanglement. Moreover, it is found that a maximally entangled two-atom state can be generated.