The quantum tunnelling between two-component Bose-Einstein condensates in a double-well configuration

Guo Feng Zhang

doi:10.1142/S0217979205031985

The quantum tunnelling between two-component Bose-Einstein condensates in a double-well configuration

Guo Feng Zhang^*

^*Corresponding author for this work

CAS - Institute of Semiconductors

Research output: Contribution to journal › Article › peer-review

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 (â_L⁺â_L - â_R ⁺â_R) of species A between the two wells is studied analytically.

Original language	English
Pages (from-to)	3285-3292
Number of pages	8
Journal	International Journal of Modern Physics B
Volume	19
Issue number	20
DOIs	https://doi.org/10.1142/S0217979205031985
State	Published - 10 Aug 2005
Externally published	Yes

Keywords

Bose-Einstein condensates
Gauge transformation
Population imbalance

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title = "The quantum tunnelling between two-component Bose-Einstein condensates in a double-well configuration",

abstract = "We examine in terms of exact solutions of the time-dependent Schr{\"o}dinger 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 ({\^a}L+{\^a}L - {\^a}R +{\^a}R) of species A between the two wells is studied analytically.",

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AB - 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 (âL+âL - âR +âR) of species A between the two wells is studied analytically.

KW - Bose-Einstein condensates

KW - Gauge transformation

KW - Population imbalance

UR - https://www.scopus.com/pages/publications/23844518975

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DO - 10.1142/S0217979205031985

M3 - 文章

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JO - International Journal of Modern Physics B

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ER -

The quantum tunnelling between two-component Bose-Einstein condensates in a double-well configuration

Abstract

Keywords

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