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Journal of Liaoning Technical University

Properties of linear entropy evolution in dissipative atom-cavity system

Yang Xiao-ming

Published Jan 1, 2009• 0 citations
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Abstract

Based on quantum theory, an investigation is conducted on the evolution characteristics of linear entropies of 1) atoms, 2) two cavities and 3) atom-cavity system in the interaction process of two entangled dissipative cavities and a single two-level atom which runs through one of cavities. The effect of the dissipative constant and the coupling strength of interaction between atom and cavity field on all three linear entropies is discussed for the resonant case.The results show that all three linear entropies strongly depend on the dissipative constant of cavity and the coupling strength between cavity field and atoms. Furthermore, the dissipative constant and the strength of interaction between atoms and cavity field affect not only the amplitude of the oscillation of field quantum entropy evolution but also its periodicity.

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In this paper,by using J-C model and the density operator theory in interaction picture,the evolution features of linear entropy were studied in the system of two two-level Rydberg atom and two entangled dissipative cavities with single-photon resonant interaction.The derivation was done of the linear entropy formula of a single atom,a single cavity,as well as two atoms,two cavities,and analyzed how the cavity dissipation coefficients and the atom-cavity interaction coupling coefficient influenced the oscillation model and the evolution period of linear entropies.The evolution periods of all linear entropies are inversely proportional to the constant g,the cavity dissipation constants k1 and k2 influence the modes and the periods of the linear entropies' evolution.
Some investigations have been made on the evolution of the linear entropies of atom-field system, in which two identical two-level atoms simultaneously interact with a single-mode dissipative cavity field under large detuning. The effects of the initial atom states and the dissipative factors of the cavity on all linear entropies are also discussed. The results show that the influence of the cavity decay constant on different kinds of Bell states is completely different, and the state |Ψ〉12 is a robust entangled state against the decoherence while the state |Φ〉12 is a fragile entangled state.
The time evolution of linear entropy of atom-field coupling system, atom and field in the system of two two-level atoms inside a single-mode cavity with amplitude-damping under the condition of large detuning were investigated. The effects of the initial preparation of two atoms, the decay rate of cavity field and the mean photon number of field on all kinds of linear entropy were discussed. The results show that if both the two atoms are in their excited states or ground states, all the linear entropies equal to zero. But when the two atoms are in their coherent superposition state of excited state and ground state, the cavity dissipation will lead to the system to evolve into a mixed state, the linear entropy of atom and field exhibits periodic oscillations with damped amplitude.
Using the method of super-operator that describes the dissipative effects,the study has obtained exact solution of the master equation that represents a Raman interaction between three-level atoms and cavity-field.The linear entropy of the system,along with atoms and cavity-field in the system is formulated.The influences of the Stark shift between two atomic levels,intensity of the cavity-field and the dissipative coefficient of the cavity on the linear entropy are discussed.It is found that the more intense the cavity-field,the longer the persistent time of the exchange of entropy between the cavity field and atoms.Because the cavity field leaks,the cavity dissipation blocks entropy exchange between the subsystems;to make the entropy of the system and subsystem increase irreversibly and reduce the amount of the coherent information,and so that it is finally to zero.When the Stark shifts between the atomic levels changes and the cavity dissipation coefficient remain has unchanged,the coupling between atom and cavity field enhances,the entropy exchange of the system speed up and the steady-state values become smaller.When the dissipation of the cavity is absent,the entropy of the light field and the atoms follow the same evolutionary regularity and reversible,show saturated and retreat saturated natures corresponding to the collapse and restoration of the atomic levels,respectively.Along with the increase of atomic number in saturated and retreat saturated time the entropy evolution characteristics is becoming more and more complicated.
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.