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Journal of Experimental and Theoretical Physics Letters

Features of stimulated atomic-molecular conversion with the formation of heteronuclear molecules in Bose-Einstein condensates

P. I. Khadzhi, Зинган Анна Петровна

Published Oct 1, 2010• 2 citations
Publisher

Abstract

The dynamics of optically stimulated atomic-molecular conversion in a Bose-Einstein condensate has been investigated, i.e., the periodic association of two unlike Bose atoms into a heteronuclear molecule followed by dissociation of the molecule into two atoms. It has been shown that the period and amplitude of the molecular density oscillations depend substantially on the initial particle densities and phase difference.

DOI
10.1134/s0021364010190021

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•Jul 1, 2008•0 citations
The dynamics of optically stimulated atomic-molecular conversion in a Bose-Einstein condensate has been investigated, i.e., the periodic association of two unlike Bose atoms into a heteronuclear molecule followed by dissociation of the molecule into two atoms. It has been shown that the period and amplitude of the molecular density oscillations depend substantially on the initial particle densities and phase difference.
Based on the mean-field approximation, a system of nonlinear differential equations is obtained which describes the dynamics of atomic-molecular conversion induced by two resonance Raman laser pulses. The obtained integrals of motion allow one to reduce the problem to one evolution equation for the density of molecules. The solutions of this equation show that different time evolution regimes of the system are possible, depending on the initial conditions: the periodic and aperiodic regimes and the rest. The dependences of the period and amplitude on the initial density of particles and the initial phase difference are studied in detail. The possibility of the phase control of the system dynamics is proved.
A set of nonlinear evolution equations describing the dynamics of atoms, molecules, and photons in the course of stimulated atomic—molecular conversion in a Bose—Einstein condensate is derived and studied in the mean-field approximation. It is shown that conversion can be periodic or aperiodic in time, the rate of the process being determined to a considerable extent by the initial density of particles and by the initial phase difference. Depending on the initial conditions, various conversion modes can be realized. The possibility of stabilization of a special state (of rest) of the system for nonzero initial number densities of particles is predicted. It is pointed out that coherence of a Bose condensate of atoms, molecules, and photons predetermines the possibility of phase control of the conversion process.
A set of nonlinear evolution equations describing the dynamics of atoms, molecules, and photons in the course of stimulated atomic-molecular conversion in a Bose-Einstein condensate is derived and studied in the mean-field approximation. It is shown that conversion can be periodic or aperiodic in time, the rate of the process being determined to a considerable extent by the initial density of particles and by the initial phase difference. Depending on the initial conditions, various conversion modes can be realized. The possibility of stabilization of a special state (of rest) of the system for nonzero initial number densities of particles is predicted. It is pointed out that coherence of a Bose condensate of atoms, molecules, and photons predetermines the possibility of phase control of the conversion process.
A set of nonlinear evolution equations describing the dynamics of atoms, molecules, and photons in the course of stimulated atomic-molecular conversion in a Bose-Einstein condensate is derived and studied in the mean-field approximation. It is shown that conversion can be periodic or aperiodic in time, the rate of the process being determined, to a considerable extent, by the initial density of particles and by the initial phase difference. Depending on initial conditions, various conversion modes can be realized. The possibility of stabilization of a special state (of rest) of the system for nonzero initial number densities of particles is predicted. It is pointed out that coherence of a Bose condensate of atoms, molecules, and photons predetermines the possibility of phase control of the conversion process.