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Chinese Physics Letters

Collapses and Revivals of Interferencing Intensity in Two Bose-Einstein Condensates with Josephson-Like Coupling

Le‐Man Kuang, Zhaoyang Zeng

Published Oct 1, 1998• 10 citations
Publisher

Abstract

An approximate analytic solution is present for a system of two Bose-Einstein condensates (BECs) with a Josephson-like coupling. By the use of this approximate solution, it is shown that the existence of quantum collapses and revivals (QCRs) in the interferencing intensity of two BECs. It is found that QCRs are seriously affected not only by interatomic collisions and the atomic tunneling between two BECs but also by initial states of the two BECs, so that one can manipulate QCRs through changing scattering lengths of atoms, atomic tunneling and initial states of BECs.

DOI
10.1088/0256-307x/15/10/001

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An approximate analytic solution is present for a system of two Bose-Einstein condensates (BECs) with a Josephson-like coupling. By the use of this approximate solution, it is shown that the existence of quantum collapses and revivals (QCRs) in the interferencing intensity of two BECs. It is found that QCRs are seriously affected not only by interatomic collisions and the atomic tunneling between two BECs but also by initial states of the two BECs, so that one can manipulate QCRs through changing scattering lengths of atoms, atomic tunneling and initial states of BECs.
We present a theoretical treatment of macroscopic quantum self-trapping (MQST) and quantum coherent atomic tunneling in a zero-temperature two-species Bose-Einstein condensate system in the presence of the nonlinear self-interaction of each species, the interspecies nonlinear interaction, and the Josephson-like tunneling interaction. It is shown that the nonlinear interactions can dramatically affect the MQST and the atomic tunneling, and lead to the collapses and revivals (CR) of the population imbalance between the two condensates. The competing effects between the self-interaction of each species and the interspecies interaction can lead to a quenching of the MQST and a suppression of the CR and the Shapiro-like steps of the atomic tunneling current. It is revealed that interatomic nonlinear interactions can induce coherent atomic tunneling between two condensates even though interspecies Josephson-like tunneling coupling does not exist.
Quantum theory of the intraband resonant tunneling of a Bose-Einstein condensate loaded in a two-dimensional optical lattice is considered. It is shown that the phenomena of quantum collapse and revival can be observed in the fully quantum problem. The mean-field limit of the theory is analyzed using the WKB approximation for discrete equations, establishing in this way a direct connection between the two approaches conventionally used in very different physical contexts. More specifically we show that there exist two different regimes of tunneling and study dependence of quantum collapse and revival on the number of condensed atoms.
We study the dynamics of a two-species Bose-Einstein condensate in a double well. Such a system is characterized by the intraspecies and interspecies sss-wave scattering as well as the Josephson tunneling between the two wells and the population transfer between the two species. We investigate the dynamics for some interesting regimes and present numerical results to support our conclusions. In the case of vanishing intraspecies scattering lengths and a weak interspecies scattering length, we find collapses and revivals in the population dynamics. A possible experimental implementation of our proposal is briefly discussed.