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Chinese Physics B

Influence of the virtual photon field on the squeezing properties of an atom laser

Zhao Jian-Gang, Sun Chang-yong, Wen Ling-Hua, Liang Bao-Long

Published Jun 1, 2009• 1 citation
Publisher

Abstract

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.

DOI
10.1088/1674-1056/18/6/030

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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 squeezing properties of atom laser are investigated with and without rotating-wave approximation by means of quantum theory in the system of optical field interacting with Bose-Einstein condensate of two-level atoms. The influences of the atomic eigenfrequency, the interaction intensity between optical field and atoms，the initial squeezing factor of optical field and the virtual photon field on the squeezing properties are discussed. The results show that two quadrature components of atom laser can be squeezed periodically. The quantum Rabi frequency and the collapse and revival frequency of atom laser fluctuation depend on the atomic eigenfrequency and the interaction intensity between optical field and atoms respectively. When the initial squeezing factor of optical field increases and the virtual photon field is considered, the degree of squeezing of the atom laser also increases.
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.
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 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 Hamiltonian operator of a system of two-level atomic Bose-Einstein condensate interacting with two-mode squeezed coherent light field is improved in terms of the lattice-liquid model. The squeezing properties of atom laser in this system are studied. Results show that the two quadrature components of the atom laser can be squeezed periodically, and the maximum depth depends greatly on the initial squeezing factor of the light field. The collapse-revival oscillatory frequency of the atom laser and the quantum Rabi frequency are largely determined by the interaction intensity between the light field and the atoms and by the circle frequency of the light field, respectively.
The squeezing effect and atomic population of the binomial field interacting with a cascade three level atom are calculated accurately without rotating-wave approximation(without RWA) by using the complete quantum theory.The influences of the binomial state field parameter η on the field squeezing effect and the maximum photon number M of the binomial state field on the atomic population are considered.The results obtained from using the numerical method show that with increase of the binomial state field parameter η,the duration of the squeezing effect increases at first and then decreases.The little indentation oscillation appears in the evolution curves of the field squeezing effect,which is caused by virtual photon without RWA.The period of the revival-collapse increases with the increase of the maximum photon number M,and the atomic population can not collapse completely in the collapse regime,but displays little indentation oscillation.In addition the influence of the without-RWA terms on the quantum properties of the system are discussed.