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Recent Progress in Many-Body Theories

SIMULATING ROTATING BEC: VORTICES FORMATION AND OVER-CRITICAL ROTATIONS

Siu A. Chin

Published Jun 1, 2008• 0 citations
Publisher
DOI
10.1142/9789812779885_0027

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ESTUDIAMOS LOS EFECTOS DE LOS TERMINOS CONTRA-ROTANTES EN LA INTERACCION ENTRE UN CAMPO ELECTROMAGNETICO CUANTIZADO Y UN ATOMO DE DOS NIVELES, USANDO EL METODO DE PEQUENAS ROTACIONES. OBTENEMOS UNA EXPRESION PARA LA FUNCION DE ONDA DEL SISTEMA COMPUESTO ATOMO-CAMPO Y ELEGIMOS UN ESTADO INICIAL DE LA FUNCION DE ONDA QUE GENERA UN BIT CUANTICO DEL CAMPO ELECTROMAGNETICO. Abstract WE STUDY THE EFFECTS OF COUNTER ROTATING TERMS IN THE INTERACTION OF QUANTIZED LIGHT WITH A TWO-LEVEL ATOM, BY USING THE METHOD OF SMALL ROTATIONS. WE GIVE AN EXPRESSION FOR THE WAVE FUNCTION OF THE COMPOSED SYSTEM ATOM PLUS FIELD AND POINT OUT ONE INITIAL WAVE FUNCTION THAT GENERATES A QUANTUM BIT OF THE ELECTROMAGNETIC FIELD WITH ARBITRARY AMPLITUDES.

Revista Mexicana de Física•May 10, 2009•1 citation
We present a rigorous proof of the appearance of quantized vortices in dilute trapped Bose gases with repulsive two-body interactions subject to rotation, which was obtained recently in joint work with Elliott Lieb. Starting from the many-body Schroedinger equation, we show that the ground state of such gases is, in a suitable limit, well described by the nonlinear Gross-Pitaevskii equation. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state.
ESTUDIAMOS LOS EFECTOS DE LOS TERMINOS CONTRA-ROTANTES EN LA INTERACCION ENTRE UN CAMPO ELECTROMAGNETICO CUANTIZADO Y UN ATOMO DE DOS NIVELES, USANDO EL METODO DE PEQUENAS ROTACIONES. OBTENEMOS UNA EXPRESION PARA LA FUNCION DE ONDA DEL SISTEMA COMPUESTO ATOMO-CAMPO Y ELEGIMOS UN ESTADO INICIAL DE LA FUNCION DE ONDA QUE GENERA UN BIT CUANTICO DEL CAMPO ELECTROMAGNETICO. Abstract WE STUDY THE EFFECTS OF COUNTER ROTATING TERMS IN THE INTERACTION OF QUANTIZED LIGHT WITH A TWO-LEVEL ATOM, BY USING THE METHOD OF SMALL ROTATIONS. WE GIVE AN EXPRESSION FOR THE WAVE FUNCTION OF THE COMPOSED SYSTEM ATOM PLUS FIELD AND POINT OUT ONE INITIAL WAVE FUNCTION THAT GENERATES A QUANTUM BIT OF THE ELECTROMAGNETIC FIELD WITH ARBITRARY AMPLITUDES.