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Prog. Theor. Phys. Vol. 105 No. 4 (2001) pp. 573-590

Nonequilibrium Formulation in Bose-Einstein Condensed States

Hideki Matsumoto^*) and Shoichi Sakamoto

Department of Applied Physics, Seikei University, Musashino 180-8633, Japan

(Received November 28, 2000)

Abstract:

In recent experiments of Bose-Einstein condensation of a magnetically trapped dilute alkaline atomic gas, the nonequilibrium process of thermalization into the condensed state has been observed in a reasonably long time scale. This presents a new challenge to develop a theory to treat strongly space-time dependent nonequilibrium processes. In this paper, we present a nonequilibrium formulation of Bose-Einstein condensed states in the field theoretical framework of thermo-field dynamics. By use of an effective Hamiltonian method, a quasi-particle field equation is derived. This equation contains information regarding the renormalized energy, decay width and time-variation of particle distributions. It is shown that, in the present formulation, the strong space-time dependence can be treated, even including quantum corrections, as the use of the quasi-particle field equation enables us to factorize double-time functions of the self-energy.

URL : http://ptp.ipap.jp/link?PTP/105/573/
DOI : 10.1143/PTP.105.573

^*)E-mail: matumoto@apm.seikei.ac.jp

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