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Communications in Theoretical Physics

Coherently Controlled Periodic Entanglement of Two Moving Atoms in a Cavity

Cai Xun-Ming, Guo-Qin Ge, Miao Yin, Qing He

Published Apr 1, 2008• 4 citations
Publisher

Abstract

We analyze the entanglement of two atoms in a cavity. The evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However, the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning. We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms, and the initial state of the field.

DOI
10.1088/0253-6102/49/4/43

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We analyze the entanglement of two atoms in a cavity. The evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However, the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning. We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms, and the initial state of the field.
Entanglement evolution of two atoms is related to the field mode structure in an optical resonant cavity when the atoms are moving and the optical field is in coherent state.We know the evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However,the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning.We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms and the initial field.
Entanglement evolution of two atoms is related to the field mode structure in an optical resonant cavity when the atoms are moving and the optical field is in coherent state. We know the evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However, the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning. We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms and the initial field.
The dynamical evolution of a quantum system composed of two coupled cavities, each containing a two-level atom and a single-mode thermal field, is investigated under different conditions. The entanglement between the two atoms is controlled by the hopping strength and the detuning between the atomic transition and the cavities. We find that when the atomic transition is far off-resonant with both the eigenmodes of the coupled-cavity system, the maximally entangled state for the two atoms can be generated with the initial state in which one atom is in the ground state and the other is in the excited state. When both the two atoms are initially in the excited state, the entanglement exhibits periodical sudden birth and death. By choosing appropriate parameter values, the initial maximal entanglement of the two atoms can be frozen. The relation between the concurrence and the cooperative parameter is calculated.
The dynamics of entanglement of two atoms passing through a bimodal cavity one after another are investigated by employing the concurrence. The effects of the atomic coherence of the first atom and the initial entanglement of the cavity field on the time evolution of atom-atom entanglement are analyzed. The results show that the phenomenon of sudden birth of entanglement between two atoms occurs under some conditions and the maximum for the creation of the entanglement is dependent on the initial entanglement of the cavity field. Moreover, the threshold time and maximum for the creation of the entanglement can be controlled by changing the amplitude of atom. We find that the proposal may provide us with a theoretical way to control and manipulate the entanglement.
We investigate the preparation and the control of entangled states in a system with the two-mode coherent fields interacting with a moving two-level atom via the two-photon transition. We discuss entanglement properties between the two-mode coherent fields and a moving two-level atom by using the quantum reduced entropy, and those between the two-mode coherent fields by using the quantum relative entropy. In addition, we examine the influences of the atomic motion and field-mode structure parameter p on the quantum entanglement of the system. Our results show that the period and the duration of the prepared maximal atom-field entangled states and the frequency of maximal two-mode field entangled states can be controlled, and that a sustained entangled state of the two-mode field, which is independent of atomic motion and the evolution time, can be obtained, by choosing appropriately the parameters of atomic motion, field-mode structure, initial state and interaction time of the system.