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Acta Physica Sinica

SU(2) SQUEEZING IN TWO-LEVEL ATOMIC MIXED-STATE

Liu Shi-bing, Huang Changchun, LI HONG, 江西师范大学物理系,南昌,330027

Published Jan 1, 1991• 0 citations
Publisher

Abstract

In this paper, the behavior of SU(2) squeezing of the mixed-state in two-level atom are studied by means of the time-evolution operator method. We have obtained new results that the mixed-state atomic squeezing under interacting of the light field is deeper than the general pure-state atomic SU(2) squeezing. Furthermore, the squeezing value of the atom in pseudo-ground state is more greater than that in pseudo-excited state. The relation between the statistical probability of atomic level population and the squeezing is studied by numerical calculations.

DOI
10.7498/aps.40.1607

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In this paper, the behavior of SU(2) squeezing of the mixed-state in two-level atom are studied by means of the time-evolution operator method. We have obtained new results that the mixed-state atomic squeezing under interacting of the light field is deeper than the general pure-state atomic SU(2) squeezing. Furthermore, the squeezing value of the atom in pseudo-ground state is more greater than that in pseudo-excited state. The relation between the statistical probability of atomic level population and the squeezing is studied by numerical calculations.
The atomic pseudospin operators describing a two-level atom, and obeying the SU(2) Lie algebra, can exhibit reduced quantum fluctuations (“squeezing”) in certain states of the atom. These states include both pure and mixed states of the atom. Parameterizing the atom by the spherical polar components S, θ, and ϕ of its pseudospin vector S, we determine the parameter ranges in which squeezing can occur and the magnitude of this squeezing. We illustrate our considerations by examining two models, namely, the coherent-state Jaynes–Cummings model and the optical Bloch equations, in which mixed-state SU(2) squeezing arises dynamically.
In this paper, the quantum properties of a two-level atom interaction with squeezed vacuum reservoir is throughly analyzed. With the aid of the interaction Hamiltonian and the master equation, we obtain the time evolution of the expectation values of the atomic operators. Employing the steady-state solution of these equations, we calculate the power spectrum and the second-order correlation function for the interaction of two-level atom with squeezed vacuum reservoir. It is found that the half width of the power spectrum of the light increases with the squeeze parameter, r . Furthermore, in the absence of decay constant and interaction time, it enhances the probability for the atom to be in the upper level.
The N-photon interaction of two two-level atoms with a single-mode quantized radiation field is studied. The general expression for the state vector of the atom–field system is presented with the probability amplitudes in analytic form. For the initial condition in which the atoms are both at their upper levels and the field is in a squeezed state, we study the time evolution of the atomic population inversions and that of the statistics of the field. We find that the ratio of the two coupling constants, the initial squeezing of the field, and N have significant effects on the features of the atoms and of the field.
The radiation squeezing effect in the interaction process between the single mode squeezed vacuum field and a moving two-level atom is studied by means of solving the Schrdinger equation and numerical calculations.The results are as follows: with the increasing of the atom's speed and the parameter of field model structure,the time evolution curve rises noticeably;with the rising of the probability breadth of the atom ground state,the squeezing depth of the radiation field increases,otherwise it decreases,even there is no squeeze;the phase angle effects the time evolution curve's change like the probability breadth of the atom ground state;during the process that the compression factor becomes larger,the radiation field can not squeeze firstly,then it squeezes partially,finally the squeeze gradually disappears.