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ACTA PHOTONICA SINICA

Evolution of Fidelity in the System of Atoms Interacting with Coupled Cavities

LU Dao-min

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

The evolutions of system fidelity,atomic fidelity and cavity fidelity in the system of atoms interacting with coupled cavities were investigated considering two coupled cavities each containing one two-level atom and the atom interacts resonantly with cavity field.The temporal evolutions of system fidelity,atomic fidelity and cavity field fidelity were calculated and the influence of cavity-cavity coupling coefficient on the fidelity was discussed.The results show that when cavity-cavity coupling coefficient is small,the system fidelity and atomic fidelity all display irregular oscillations.When cavity-cavity coupling coefficient is greater than a certain value,they all display quasi-periodic oscillations.The fidelity of cavity field displays periodic oscillation,and its oscillation frequency increases with increase of cavity-cavity coupling coefficient.On the other hand,atomic fidelity is weakened,and the fidelity of cavity field is strengthened with increase of cavity-cavity coupling coefficient.

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The evolutions of system fidelity,atomic fidelity and cavity fidelity in the system of atoms interacting with coupled cavities were investigated considering two coupled cavities each containing one two-level atom and the atom interacts resonantly with cavity field.The temporal evolutions of system fidelity,atomic fidelity and cavity field fidelity were calculated and the influence of cavity-cavity coupling coefficient on the fidelity was discussed.The results show that when cavity-cavity coupling coefficient is small,the system fidelity and atomic fidelity all display irregular oscillations.When cavity-cavity coupling coefficient is greater than a certain value,they all display quasi-periodic oscillations.The fidelity of cavity field displays periodic oscillation,and its oscillation frequency increases with increase of cavity-cavity coupling coefficient.On the other hand,atomic fidelity is weakened,and the fidelity of cavity field is strengthened with increase of cavity-cavity coupling coefficient.
We consider a system consisting of two two-level atoms interacting with two coupled cavities via a two-photon hopping.Two atoms are individually trapped in two coupled cavities.The evolution of the state vector of the system is given by solving the Schrodinger equation.Negativity is used to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolution in the entanglement between atoms and that between atom and cavity.Through comparing the results of different cavity-cavity coupling coefficients,the influence of cavity-cavity coupling coefficient on the entanglement is discussed.The obtained results show that the atom-atom entanglement and atom-cavity entanglement both display the evolution which is from the irregular oscillations to quasi-periodic oscillation with the cavity-cavity coupling coefficient increasing.The average value of atom-atom entanglement and that of atom-cavity entanglement sometimes increase and sometimes decrease.It shows that there is non-linear relationship between atom-atom entanglement and cavity-cavity coupling coefficient,or between atom-cavity entanglement and cavity-cavity coupling coefficient.On the other hand,when the cavity-cavity coupling coefficient is small,the entanglement between atom and cavity exhibits the phenomenon of collapse and recovery.
The entanglement dynamics of the system composed of three two-level atoms resonantly interacting with three coupled cavities is investigated in this paper. The influence of coupling constant between cavities on the entanglement between atoms and that between cavities are discussed. The results obtained using the numerical method show that the entanglement between atoms has a nonlinear relation with increase of the cavity-cavity coupling coefficient. On the other hand, the entanglement between cavity A and cavity B and the entanglement between cavity B and cavity C weaken with the increase of the coupling constant between cavities, but the entanglement between cavity A and cavity C strengthens with the increase of cavity-cavity coupling coefficient.
We study the one-excitation dynamics for the system comprising two two-level atoms resonantly interacting with two coupled cavities.The evolution of the atom's occupancy is investigated.The influences of coupling constant between cavities on the evolution of the atom's occupancy are discussed.The results obtained show that the evolution of the atom's occupancy displays collapse and revival effect when the coupling constant between cavities is much smaller than coupling constant between atom and cavity,and it displays periodicity when the coupling constant between cavities is much larger than coupling constant between atom and cavity.
We study the entanglement dynamics of the system comprising three two-level atoms resonantly interacting with three coupled cavities which are in weak coherent states initially. The atom-atom entanglement and cavity-cavity entanglement are investigated. The influences of coupling constant between cavities and intensity of the cavity field on entanglement properties are discussed. The results obtained using the numerical method show that atom-atom entanglement and cavity-cavity entanglement are both strengthened with the increase of intensity of the cavity field; on the other hand, atom-atom entanglement is weakened and the entanglement between cavity A and cavity B is strengthened with the increase of the coupling constant between cavities, and the entanglement between cavity B and cavity C has a nonlinear relation with the increase of the cavity-cavity coupling coefficient. These results are different from those in the case that cavity field is in vacuum state initially.
We study the entanglement dynamics of the system composed of two two-level atoms resonantly interacting with two coupled cavities. The evolutions of atom-atom entanglement, cavity-cavity entanglement and atom-cavity entanglement are investigated. The influence of coupling constant between cavities on entanglement property is discussed. The numerical results show that atom-atom entanglement property is strengthened while atom-cavity entanglement property and cavity-cavity entanglement property are weakened with the increasing of the coupling constant between cavities.
The two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities is analyzed.The evolution of the state vector of the system is given when the total excitation number equals two.By means of the numerical calculations,the temporal evolution in the entanglement is investigated between the atoms,between the cavities,as well as between the atom and the local cavity mode.The influences of coupling constant between cavities on the entanglements are discussed.The results obtained show that atom and atom are separable,and the cavity-cavity entanglement and the atom-cavity entanglement are weakened with increasing of the coupling constant between cavities.