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Chinese Journal of Quantum Electronics

Squeezing properties in a system of entangled atoms interacting with optical field of Schrodinger cat state

Tang-Kun Liu

Published Jan 1, 2006• 1 citation
OpenAlex

Abstract

The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field is in a Schrodinger cat state. Influence of the strength of optical field and the phase angle of the coherent states on the double atoms dipole squeezing and the optical field amplitude squeezing are discussed by numerical calculations. It is found that under weak optical field condition, the optical field amplitude squeezing of even coherent state and Yurke-Stoler coherent state interacting with entangled state of atoms is no existence, but the optical field amplitude squeezing of odd coherent states is existence. In the same condition, the double atomic dipole squeezing of even coherent states interacting with entangled state of atoms is no existence, but the double atomic dipole squeezing of odd coherent state and Yurke-Stoler coherent state is existence. Under strong optical field condition, two squeezing phenomenon is no existence.

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The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field is in a Schrodinger cat state. Influence of the strength of optical field and the phase angle of the coherent states on the double atoms dipole squeezing and the optical field amplitude squeezing are discussed by numerical calculations. It is found that under weak optical field condition, the optical field amplitude squeezing of even coherent state and Yurke-Stoler coherent state interacting with entangled state of atoms is no existence, but the optical field amplitude squeezing of odd coherent states is existence. In the same condition, the double atomic dipole squeezing of even coherent states interacting with entangled state of atoms is no existence, but the double atomic dipole squeezing of odd coherent state and Yurke-Stoler coherent state is existence. Under strong optical field condition, two squeezing phenomenon is no existence.
The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field in a Kerr medium is in a coherent state. Influence of the coupling constant ga of dipole-dipole interaction between atoms and the coupling strength x of the Kerr medium with the optical field on the double atoms dipole squeezing and optical field squeezing are discussed by numerical calculations. It is found that under weak optical field condition, large ga and x weaken the atomic dipole squeezing; and under strong optical field condition, large ga increases the optical field squeezing events while large x reduces the frequency.
The atomic dipole squeezing effect in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent state field in Kerr medium are investigated by means of solving the Schrdinger equation and numerical calculations. The effects on the atomic dipole squeezing effect produced by the atomic initial state, mean photon number of light field, the degree of the entanglement of the entangled coherent field, the coupling strength of the Kerr medium with the light field and the coupling strength of dipole-dipole interaction between atoms are discussed. The results show that the dipole squeezing effect does not appear for the Bell state |β11>, while there can be dipole squeezing effect under certain conditions for the Bell states |β00> or |β01> or |β10>. In the latter case, the dipole squeezing effect depends on the coupling strength of the Kerr medium with the light field, the mean photon number and the degree of entanglement of the two-mode entangled coherent 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.
The field entropy can be regarded as a measurement of the degree of entanglement between the light field and the atoms of a system which is composed of two-level atoms initially in an entangled state interacting with the Schrödinger cat state. The influences of the strength of light field and the phase angle between the two coherent states on the field entropy are discussed by using numerical calculations. The result shows that when the strength of light field is large enough the field entropy is not zero and the degrees of entanglement between the atoms and the three different states of the light fields are equal. When the strength of the light field is small, the degree of entanglement is maximum in a system of the two entangled atoms interacting with an odd coherent state; it is intermediate for a system of the two entangled atoms interacting with the Yurke–Stoler coherent state and it is minimum in a system of the two entangled atoms interacting with an even coherent state.