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Journal of Shaanxi Normal University

Quantum field-entropy evolution properties in system of coupled two-level atoms interacting with a single-mode odd-coherent state light field

Wang Ju-xia, Yang Zhi-yong

Published Jan 1, 2006• 0 citations
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Abstract

According to the complete quantum theory,the quantum field-entropy evolution properties in a system of the two coupled two-level atoms interacting with a single-mode odd-coherent state light field are studied.Through numerical calculation the influence of the initial mean photon number n_0,the coupled intensity g of interaction between the single-mode field and atoms,and the coupled intensity g_a of dipole-dipole interaction between the two coupled atoms on the quantum field-entropy evolving while the initial state of the light field is a single-mode odd-coherent and the two coupled two-level atoms lay in different Einstein Poclolsky Rosen(EPR) entangled state respectively.The results indicate that the time evolving of quantum field-entropy is closely related to the initial atoms state.The quantum field-entropy evolution can display the phenomena of entanglement and disentanglement while they are periodically under the condition of intensity field(n_01). Meanwhile the phenomena of quantum interference is also discovered.The periodicity of the quantum field-entropy anomalous oscillation decreases gradually with the increasing of g values.When g_a is an especial constant,it is shown that the phenomena of period collapse-reversion can present.

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According to the complete quantum theory,the quantum field-entropy evolution properties in a system of the two coupled two-level atoms interacting with a single-mode odd-coherent state light field are studied.Through numerical calculation the influence of the initial mean photon number n_0,the coupled intensity g of interaction between the single-mode field and atoms,and the coupled intensity g_a of dipole-dipole interaction between the two coupled atoms on the quantum field-entropy evolving while the initial state of the light field is a single-mode odd-coherent and the two coupled two-level atoms lay in different Einstein Poclolsky Rosen(EPR) entangled state respectively.The results indicate that the time evolving of quantum field-entropy is closely related to the initial atoms state.The quantum field-entropy evolution can display the phenomena of entanglement and disentanglement while they are periodically under the condition of intensity field(n_01). Meanwhile the phenomena of quantum interference is also discovered.The periodicity of the quantum field-entropy anomalous oscillation decreases gradually with the increasing of g values.When g_a is an especial constant,it is shown that the phenomena of period collapse-reversion can present.
Utilizing the complete quantum theory,the quantum field-entropy evolution properties in system of the two coupled two-level atoms interacting with a Schrdinger-cat state light field are studied under the condition of non-resonance.The results indicate that the time evolving of quantum field-entropy is closely related to not only the initial mean photon number n0,the coupled intensity g of interaction between the single-mode field-atoms,the coupled intensity ga of dipole-dipole interaction between the two coupled atoms,and non-resonance value Δ but also the initial state of atoms.
The field entropy evolution of two level atom interacting with a single mode coherent light field is studied by means of the complete quantum theory.Through numerical calculation,the influence of the initial mean photon number,the coupled intensity g and the excited field intensity on the field entropy evolution is investigated.It is found that the field entropy evolution will be the phenomenon of oscillation periodicity and nonperiodicity and collapse-and-revival.The results show that the influence of the initial mean photon number and the coupled intensity g on the field entropy evolution possess nonlinear properties.
The properties of quantum field entropy evolution in a single-mode vacuum field-coupled two-level atoms′ system were by the complete quantum theory.The numerical results indicate that the quantum field entropy in the system is periodic oscillation with two peaks′ or many peaks′ structures;The quantum entanglement between the atoms decreases with the increase of the dipole-dipole interaction strength between them;The amplitude of the field quantum entropy decreases with the increase of the probability of the two atoms stayed simultaneously in their ground states;Especially when the two atoms both stayed in their ground states,the field and the atoms are both disentangled for a long time;The coupling strength between the field and the atoms has important influences on the periodicity of the field quantum entropy,namely,the periodicity mentioned above becomes shorter with the strengther of the coupling.
In this article,the time evolution properties of the field entropy in the system of the two identical two-level entangled atoms interacting with the single-mode coherent light field are studied by means of full quantum theory.The influences of the initial states and the degree of entanglement of two identical two-level entangled atoms and the intensity of the light field on the field entropy are discussed by numerical calculations.The results show that the average value and the oscillation frequency of the field entropy increases with the increasing of the mean photon number,the oscillation of the field entropy presents stated periods in the weak light field and presents collapses and revivals in the increased light field,the amplitudes of field entropy increase with increasing initial degree of entanglement of two entangled atoms.
The field entropy evolution of two entangled-atoms interacting with coherent state light-filed is studied by means of quantum theory.The influence of the dipole-dipole interaction,the intensity of field and the two-atom's entanglement on the field entropy properties are studied.The results show that the increasing of the atomic dipole-dipole interaction will increase evolution period of field entropy.The mean-value of entropy will increase at first and then decrease with the intensity of field increasing.The oscillation period of field entropy increases with the increase of the intensity of field.The mean-value of field entropy will decrease with the increasing of atoms' entanglement,but the oscillation of field entropy will increase with the increasing of the entanglement of atoms.
The evolution properties of quantum entropy of the field in the Fock state interacting resonantly with a pair of identical two-level entangled atoms in Bell states are studied by utilizing of the complete quantum theory and by the numerical method.The evolution periodicity of quantum field entropy is π/g2(2n+1)~1/2when the two atoms are initially in the first kind of Bell state.The quantum entanglement between the field and the atoms decreases with the increase of the initial field intensity,and the field is completely disentangled from the atoms when the time is a whole-number multiple of the evolution peridicity.The quantum field entropy isn't change with the time and always remains at zero when the two atoms are initially in the second kind of Bell state.The evolution curves of quantum field entropy periodically oscillates with unequal amplitude when the two atoms are initially in the third and the fourth kind of Bell state respectively,and the periodicity of the oscillation of the quantum field entropy increases with the increases of the initial photon number,while the amplitude of the oscillation decreases.The Bell states composed of a pair of identical two-level atoms can be partially distinguished based on the evolution properties of quantum field entropy above.