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Acta Sinica Quantum Optica

Squeezing Properties of Entangled Coherent States

Kuang Zhen-Hua

Published Jan 1, 2004• 2 citations
OpenAlex

Abstract

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.

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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 light squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schrdinger equation solution and numerical calculations.The results show that light squeezing effects not only depends on the mean photon numbers and atomic initial state but also the degree of entanglement of the two-mode entangled coherent state optics field,whereas the coupling between two atoms does not affect the light squeezing effects.The light squeezing effects does not appear for a special kind of Bell state |β11〉,however there can appear the light squeezing effects under some conditions for the other three Bell states.
As for two kinds of entangled coherent states, we have studied the relationship between the entanglement and the nonclassical effects; we calculate their entanglement by the concurrence and their nonclassical effects, such as squeezing and antiquating. We find that the entanglement always corresponds with one of squeezing and antiquating and the larger a nonclassical effect is, the stronger entanglement is. The result shows the entangle- ment has a deep relationship with the nonclassical effects.
Coherent states are the quantum states, which give the closest description to classical states. Since their superpositions show quantum properties, research on these states has been of great interest. In addition, having nonclassical properties is necessary for quantum correlations. In this paper, we focus on two-mode entangled coherent states which are out of phase, and study the nonclassical properties such as squeezing of quadrature operators, antibunching and oscillatory photon statistics. Then we discuss about their entanglement, which is a quantum correlation in different conditions and compare the results.
The atomic dipole squeezing effects in the system of a two-mode entangled states interacting with a Σ-type three-level atom were studied.We analyzed the effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of atomic initial state,the detuning,and the mean photon numbers on the atomic dipole squeezing effects.The results indicate that the influence of the(degree) of entanglement of the two-mode entangled coherent states on the atomic dipole squeezing effects isn't noticeable.While the atomic initial state is in the ground state or excited state,the atomic dipole squeezing effects can not occur.While the probability of atomic initial state in ground state is equal to that in the excited state,the atomic dipole squeezing reaches its maximum.The enhancing of the detuning results in the increase of the frequency of atomic dipole squeezing.When the mean photon number of mode 1 remains unchanged and the mean photon number of mode 2 increases,the depth of atomic dipole squeezing decreases and the(frequency) of atomic dipole squeezing doesn't change.
By means of numerical calculations,squeezing effect of the field in the system of two-mode entangled coherent states interacting with a Λ-type three-level atom is investigated.The influences of the degree of entanglement of two-mode entangled coherent state optics field and mean photon numbers of two-mode optics field on squeezing effect are discussed.The results show that squeezing effect strengthens with increasing of the the degree of entanglement of two-mode entangled coherent state optics field and weakens with increasing of mean photon numbers of two-mode entangled coherent state optics field.
The quantum entanglement of two entangled atoms interacting with the squeezed coherent state is studied by means of full quantum theory. The influences of coherent amplitude factor, squeezing factor, ratio of two coupling coefficients on the entanglement property are discussed. The results show that two atoms entanglement evolution property is opposed to atom-field entanglement evolution property when the coherent amplitude factor was zero or small. The interaction of the atoms and field weakens the entanglement degree of atom-atom. With increasing coherent amplitude factor or decreasing squeezing factor of light, the time of two atoms staying in the steady entangled state becomes longer. The increase of the coherent amplitude factor or the decrease of squeezing factor of light lead to the increase of atom-atom entanglement degree while the decrease of atoms-field entanglement degree. Moreover, the two-atom quantum state stays in the maximum entangled state when the atomic dipole-dipole coupling coefficient is large enough.