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Chinese Physics B

Entropy squeezing for a two-level atom in two-mode Raman coupled model with intrinsic decoherence

Jian Zhang, Shao Bin, Zou Jian

Published Mar 17, 2009• 4 citations
Publisher

Abstract

In this paper, we investigate the entropy squeezing for a two-level atom interacting with two quantized fields through Raman coupling. We obtain the dynamical evolution of the total system under the influence of intrinsic decoherence when the two quantized fields are prepared in a two-mode squeezing vacuum state initially. The effects of the field squeezing factor, the two-level atomic transition frequency, the second field frequency and the intrinsic decoherence on the entropy squeezing are discussed. Without intrinsic decoherence, the increase of field squeezing factor can break the entropy squeezing. The two-level atomic transition frequency changes only the period of oscillation but not the strength of entropy squeezing. The influence of the second field frequency is complicated. With the intrinsic decoherence taken into consideration, the results show that the stronger the intrinsic decoherence is, the more quickly the entropy squeezing will disappear. The increase of the atomic transition frequency can hasten the disappearance of entropy squeezing.

DOI
10.1088/1674-1056/18/4/038

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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 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.
Considering intrinsic decoherence, the two-atom two-mode Raman coupled model is investigated in this paper. Utilizing the constants of motion in this model, we obtain the analytic expressions of the density operator of the system for investigating the entanglement of two atoms. The speed of entanglement decay increases with the increasing of the coupling coefficient of one atom. The difference between the oscillation periods when the initial state parameter of atomic subsystem belongs to two intervals becomes smaller with the increasing of the coupling coefficient of one atom. The increasing of the initial photon number of the second field can hasten the vanishing of entanglement of atomic subsystem. The robustness of atomic entanglement against decoherence depends on the interval of the initial state parameter of atomic subsystem.
The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory.The influences of the velocity of atomic motion,the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state.The results indicate that the value of squeezed component of the atomic dipole,squeezed frequency,amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state,the velocity of atomic motion,the field structure and the squeezing factor of field and the squeezing phase angle of the field,respectively.In the longer time,squeezing effects of the atom in motion can be obtained by choosing the system parameters.The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion.
The entropy squeezing properties for a two-level atom interacting with a two-mode field via two different competing transitions are investigated from a quantum information point of view. The influences of the initial state of the system and the relative coupling strength between the atom and the field on the atomic information entropy squeezing are discussed. Our results show that the squeezed direction and the frequency of the information entropy squeezing can be controlled by choosing the phase of the atom dipole and the relative competing strength of atom-field, respectively. We find that, under the same condition, no atomic variance squeezing is predicted from the HUR while optimal entropy squeezing is obtained from the EUR, so the quantum information entropy is a remarkable precision measure for the atomic squeezing in the considered system.
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.