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Journal of Optoelectronics·laser

Properties of Evolution of Quantum Field Entropy in a Single-mode Vacuum Field-Coupled Two-level Atoms′ System

Yuying An

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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.

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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.
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.
The properties of quantum field entropy evolution in the system of a single-mode squeezed coherent states field interacting with a pair of identical coupled two-level atoms is studied by utilizing of the complete quantum theory,and the influences of the field squeezing parameter,the coupling strength between the field and the atoms and the coupling strength between the two identical two-level atoms on properties of evolution of quantum field entropy are discussed.The results obtained from the numerical results indicate that the field squeezing parameter influences the amplitude of vibration of the field quantum entropy evolution,the coupling strength between the field and the atoms affects the periodicity of the evolution of the field quantum entropy,while the coupling strength between the two identical two-level atoms influences not only the amplitude of the oscillation of the field quantum entropy evolution but also its periodicity.
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.
The properties of the field quantum entropy evolution in a system of a single-mode squeezed coherent state field interacting with a two-level atom is studied by utilizing the complete quantum theory, and we focus our attention on the discussion of the influences of field squeezing parameter γ, atomic distribution angle θ and coupling strength g between the field and the atom on the properties of the evolution of field quantum entropy. The results obtained from numerical calculation indicate that the amplitude of oscillation of field quantum entropy evolution decreases with the increasing of squeezing parameter γ, and that both atomic distribution angle θ and coupling strength g between the field and the atom can influence the periodicity of field quantum entropy evolution.
The field entropy evolution properties in the system of two coupling atoms Raman interactions with a single-mode squeezed vacuum field are studied by means of quantum theory. Using the numerical method, the relation between the field entropy evolution properties and the coupling constant of two atoms and the coupling constant of atom-field and the squeezing degree of initial squeezing vacuum field is discussed. The results show that the field entropy evolution properties are similar to the time evolution of atomic particle's occupancy. If the dipole-dipole interaction between atoms in weaker, there will be the oscillation of collapse-and-revival the field entropy evolution properties. If the dipole-dipole interaction between atoms is stronger, the field entropy evolution properties will produced the oscillation anomaly.
Using the method of the systematic state vector the field entropy of the two-mode SU(1,1) coherent states field interacting with four-level atom has been formulated.The influences of the initial field strength and the atom-field coupling constant on the field entropy have been investigated. The results obtained by means of numerical show that. With the increase of the initial field parameter q and ζ, the mean values of the evolution curves of the field entropy increase constantly and so do the oscillation frequency of the evolution curves of the field entropy. The larger the value of ζ is. the more obvious the periodicity of the evolution curves of the initial field entropy are, but the obviously smaller the oscillation amplitude values become. With the increase of the coupling constant, the mean values of the evolution curves of the field entropy do not obviously change, but the oscillation frequency increase largely, the oscillation amplitude decrease a little and get to stability after some time, This shows that the field entropy is susceptible to the atom-field coupling constant