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Journal of Atomic and Molecular Physics

Velocity-controlled entanglement of two atoms

Meng Fan

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

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.

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In order to find out the effect of atomic motion on the population inversion of two atoms,the atomic states were analyzed by the method of quantum mechanics.It was found that the population inversion of two atoms was related to the field mode structure in an optical resonant cavity when the atoms were moving and the optical field was in coherent state.When two atoms in the cavity were fixed at initial time,the evolvement of population inversion of two atoms was periodic in the case of a small average photo number,and there were collapses and revivals of atomic inversion in the case of a large average photo number.The evolvement of population inversion of two atoms became well-regulated orderly under the coherent cavity field when atoms were in motion at initial time.The population inversion of two atoms will evolve in different periods when the two atoms move in axial direction at different velocity.The period of population inversion is the lease common multiple of periods of coupling coefficients between two atoms and field.When there are more average photon number in the cavity,the oscillation of population inversion will be faster.So it is possible to control the population inversion by properly choosing the velocity of atoms and the initial field.

ACTA PHOTONICA SINICA•Jan 1, 2011•0 citations
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.
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.
In the process of a two-mode coherent state field interacting with an atom via intensity-dependent coupling,the evolution of entanglement between the atom and field or between the two-mode field is investigated by using quantum reduced entropy and relative entropy respectively.The results show that we can regulate the above mentioned two kinds of entanglement by choosing the system parameters of the initial state,or controlling the action time between the atom and field.The entanglement of the two-mode field will increase or decrease,but it's impossible to disentangle completely.We can get the EPR state and the separable state between the field and atom periodically in the high field conditions(the average photon number of the field is very large).
In order to find out the effect of atomic motion on the population inversion of two atoms,the atomic states were analyzed by the method of quantum mechanics.It was found that the population inversion of two atoms was related to the field mode structure in an optical resonant cavity when the atoms were moving and the optical field was in coherent state.When two atoms in the cavity were fixed at initial time,the evolvement of population inversion of two atoms was periodic in the case of a small average photo number,and there were collapses and revivals of atomic inversion in the case of a large average photo number.The evolvement of population inversion of two atoms became well-regulated orderly under the coherent cavity field when atoms were in motion at initial time.The population inversion of two atoms will evolve in different periods when the two atoms move in axial direction at different velocity.The period of population inversion is the lease common multiple of periods of coupling coefficients between two atoms and field.When there are more average photon number in the cavity,the oscillation of population inversion will be faster.So it is possible to control the population inversion by properly choosing the velocity of atoms and the initial field.