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Journal of Liaoning University

Relations Between Entanglement and Squeezing in Two-Mode Even/Odd Coherent States

Wang Li

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Relations between entanglement and squeezing of two-mode even/odd coherent states(or cat) are studied by calculating the entanglement and squeezed function.Analytic expressions for the entanglement degree and squeezing function of two even/odd coherent states are the phasic function for .As the value of the entanglement degree in period increases,the squeezing effect become weaken.

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Relations between entanglement and squeezing of two-mode even/odd coherent states(or cat) are studied by calculating the entanglement and squeezed function.Analytic expressions for the entanglement degree and squeezing function of two even/odd coherent states are the phasic function for .As the value of the entanglement degree in period increases,the squeezing effect become weaken.
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Quantum entanglement and squeezing are kinds of important nonclassical phenomena of quantum systems. In this paper entangling and squeezing properties of entangled coherent states are studied analytically and numerically. The realtions between two nonclassical effects of squeezing and entanglement are investigated in detail. It is found that the degree of squeezing can be increased or decreased through changing the degree of entanglement. And it is shown that squeezing properties of single-mode squeezing is very different from that of two-mode squeezing.
The two-mode even and odd coherent Schrödinger cat states are introduced for the generalized stationary and non-stationary harmonic oscillator. The expected values of positions and momenta and their dispersion matrices are calculated for the Schrödinger cat states. The quadrature squeezing and correlation phenomenon are studied and the Wigner and Husimi functions are constructed explicitly for these states. The photon statistics of the two-mode even and odd coherent states of the generalized oscillator is described in terms of the photon distribution function, which is expressed in terms of Hermite polynomials. The photon number, means and dispersions show oscillations which are characteristics of squeezing and correlation phenomenon.
We study squeezing and entanglement in superposition of a class of nonlinear spin coherent states. We analyze these properties as a function of the coherence and superposition parameters, number of qubits and the Hamiltonians involved, by presenting analytical and numerical results. We specifically observe that a subclass of these states, the even non-linear cat states are maximally entangled and squeezed, while another related subclass, the odd non-linear cat states, are entangled but not squeezed at all.
The multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The distribution function is expressed in terms of the multivariable Hermite polynomials, its means and dispersions are calculated. The conditions for the existence of squeezing are formulated. The correlations among the different modes of Schroedinger cat states are studied.