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Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen ban

The Squeezing Properties of the Binomial States Field Interacting with Atomic Bose-Einstein Condensate

Gong Yan-li

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The squeezing properties of the binomial states field interacting with Bose-Einstein condensate(BEC) of two-level atoms were studied in this paper.The results indicated that one of the two quadrature components of light field evolves periodically with time and can be squeezed,and the system parameters influence the squeezing depth;the fluctuations of two quadrature components of the atomic laser can be squeezed alternatively as the variety of the parameter of light field interacting with atoms and the interaction among the atoms in BEC is disadvantageous to the squeezing of atomic lasers,whereas the atomic laser can show complete squeezing effects as the influence of light field is considered.

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The Hamiltonian operator of a system of single-mode light field interacting with Bose-Einstein condensate (BEC) of two-level atoms is discussed in terms of the lattice-liquid model. It is indicated that the contribution of the interaction between atoms to the Hamiltonian was irrationally overestimated in the literature, so the Hamiltonian operator is improved in the present paper. Based on the improved Hamiltonian, the equations of motion of the photon and atomic operators are derived analytically. The relevant parameters in the model are estimated in connection with the BEC experimental conditions. The influence of the interaction between atoms in the BEC on the squeezing of light field and the atomic lasers is studied. The results show that the dependence of squeezing factor with atom number in BEC is different from that given in literature. and the fluctuations of two quadrature components of light evolve periodically with cosine law and the fluctuations of two quadrature components of the atomic laser can be squeezed.

Acta Physica Sinica•Jan 1, 2006•7 citations
The squeezing properties of the binomial states field interacting with Bose-Einstein condensate(BEC) of two-level atoms were studied in this paper.The results indicated that one of the two quadrature components of light field evolves periodically with time and can be squeezed,and the system parameters influence the squeezing depth;the fluctuations of two quadrature components of the atomic laser can be squeezed alternatively as the variety of the parameter of light field interacting with atoms and the interaction among the atoms in BEC is disadvantageous to the squeezing of atomic lasers,whereas the atomic laser can show complete squeezing effects as the influence of light field is considered.
The quantum correlation properties and squeezing properties of atomic laser are studied in the system of the binomial states field interacting with Bcse-Einstein condensate of two-level atoms,and the amplitude-squared squeezing effects of atomic laser are also discussed.The influence of field parameter and atom parameter on the depth and duration of squeezing are mainly investigated by solving the Heisenberg equation based on the entire quantum theory.The results show that the quantum correlation properties of atomic laser keep invariant in the process of interaction between light and atomic BEC.The two quadrature components of atomic laser evolve periodically with t(?)me and can be squeezed.The depth of squeezing is determined by the binomial states field.The duration of squeezing depends on the coupling constant between light field and atoms.The relations and differences are briefly discussed between the squeezing effects and amplitude-squared squeezing effects.
The squeezing properties of binomial state field interacting with Bose-Einstein condensate of two-level atoms are investigated within and without rotating-wave approximation by means of quantum theory. The influences of atomic eigenfrequency, the coupling constant between light field and atoms，the parameter of light field and the virtual photon field on squeezing properties have been discussed. The results show that two quadrature components can be squeezed periodically, and the duration of squeezing light has something to do with atomic eigenfrequency ω, and the degree of squeezing with the parameter of the binomial states field η and the virtual photon field. The frequency of light fluctuations collapse and revival is determined by the coupling constant between light field and atoms.
This paper investigates the squeezing properties of an atom laser without rotating-wave approximation in the system of a binomial states field interacting with a two-level atomic Bose–Einstein condensate. It discusses the influences of atomic eigenfrequency, the interaction intensity between the optical field and atoms, parameter of the binomial states field and virtual photon field on the squeezing properties. The results show that two quadrature components of an atom laser can be squeezed periodically. The duration and the degree of squeezing an atom laser have something to do with the atomic eigenfrequency and the parameter of the binomial states field, respectively. The collapse and revival frequency of atom laser fluctuation depends on the interaction intensity between the optical field and atoms. The effect of the virtual photon field deepens the depth of squeezing an atom laser.
The Hamiltonian operator of two-mode light field interacting with Bose-Einstein condensate(BEC) of two-level atoms is improved in terms of the lattice-liquid model,and the squeezing properties of two-mode squeezed field interacting with Bose-Einstein condensate of two-level atoms are studied.The results show that two quadrature components of light can be squeezed periodically,the maximum depth of squeezing is closely correlated to the initial squeezing parameter of light,and the duration is determined by the frequency of the light field.
The Hamiltonian operator of a system of single-mode light field interacting with Bose-Einstein condensate(BEC) of two-level atoms is suggested within the rotati ng-wave approximation. The influence of the interaction between atoms in the BEC on the quadrature squeezing properties of single-mode squeezed light interactin g with atomic BEC is studied under Bogoliubov approximation. The results show th at the fluctuations of two quadrature components of light evolve periodically in a cosine law and their squeezing properties are determined mainly by the initia l squeeze factor and squeeze direction angle of light, and that the interaction between atoms in BEC changes the amplitude and period of fluctuation of light.
The Hamiltonian operator of a system of single-mode light field interacting with Bose-Einstein condensate (BEC) of two-level atoms is discussed in terms of the lattice-liquid model. It is indicated that the contribution of the interaction between atoms to the Hamiltonian was irrationally overestimated in the literature, so the Hamiltonian operator is improved in the present paper. Based on the improved Hamiltonian, the equations of motion of the photon and atomic operators are derived analytically. The relevant parameters in the model are estimated in connection with the BEC experimental conditions. The influence of the interaction between atoms in the BEC on the squeezing of light field and the atomic lasers is studied. The results show that the dependence of squeezing factor with atom number in BEC is different from that given in literature. and the fluctuations of two quadrature components of light evolve periodically with cosine law and the fluctuations of two quadrature components of the atomic laser can be squeezed.