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THE QUANTUM TUNNELLING BETWEEN TWO-COMPONENT BOSE–EINSTEIN CONDENSATES IN A DOUBLE-WELL CONFIGURATION

GUO-FENG ZHANG

State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P. O. Box 912, Beijing 100083, People's Republic of China

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https://doi.org/10.1142/S0217979205031985Cited by:0 (Source: Crossref)

Abstract

We examine in terms of exact solutions of the time-dependent Schrödinger equation, the quantum tunnelling process in Bose–Einstein condensates of two interacting species trapped in a double well configuration. Based on the two series of time-dependent SU(2) gauge transformations, we diagonalize the Hamilton operator and obtain analytic time-evolution formulas of the population imbalance and the berry phase. The particle population imbalance of species A between the two wells is studied analytically.

Keywords:

PACS: 03.65.Ud, 74.50.+r

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