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理论物理通讯：英文版

Atomic Tunneling Effect in Two-Component Bose-Einstein Condensates with a Coupling Drive

JIAOZhi-Yong, Zhiyong, Yu, Zhao-Xian, Yang, Xinjian

Published Jan 1, 2004• 0 citations
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Abstract

In this paper, we have studied the atomic population difference and the atomic tunneling current of twocomponent Bose-Einstein condensates with a coupling drive. It is found that when the two-component Bose-Einstein condensates are initially in the coherent states, the atomic population difference may exhibit the step structure, in which the numbers of the step increase with the decrease of the Rabi frequency and with the increment of the initial phase difference. The atomic population difference may exhibit collapses, and revivals, in which their periods are affected dramatically by the Rabi frequency and the initial phase difference. The atomic tunneling current may exhibit damping oscillation behaviors, and exist the step structure for the time range of 10-10 ～ 10-9 second.

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理论物理通讯：英文版•Jan 1, 2003•0 citations
In this paper, we have studied the atomic population difference and the atomic tunneling current of twocomponent Bose-Einstein condensates with a coupling drive. It is found that when the two-component Bose-Einstein condensates are initially in the coherent states, the atomic population difference may exhibit the step structure, in which the numbers of the step increase with the decrease of the Rabi frequency and with the increment of the initial phase difference. The atomic population difference may exhibit collapses, and revivals, in which their periods are affected dramatically by the Rabi frequency and the initial phase difference. The atomic tunneling current may exhibit damping oscillation behaviors, and exist the step structure for the time range of 10-10 ～ 10-9 second.
In this paper, we have studied the atomic population difference and the atomic tunneling current of two-component Bose-Einstein condensates with a coupling drive. It is found that when the two-component Bose-Einstein condensates are initially in the coherent states, the atomic population difference may exhibit the step structure, in which the numbers of the step increase with the decrease of the Rabi frequency and with the increment of the initial phase difference. The atomic population difference may exhibit collapses, and revivals, in which their periods are affected dramatically by the Rabi frequency and the initial phase difference. The atomic tunneling current may exhibit damping oscillation behaviors, and exist the step structure for the time range of second.
The Rabi oscillations in two-component Bose-Einstein condensates with a coupling drive are studiedby means of a pair of bosonic operators. The coupling drive and initial phase difference will affect the amplitudeand the period of the Rabi oscillations. The Rabi oscillations will vanish in the evolution of the condensate densityfor some special initial phase differences (ψ = 0 or π). Our theory provides not only an analytical framework forquantitative predictions for two-component condensates, but also gives an intuitive understanding of some mysteriousfeatures observed in experiments and numerical. simulations.
The Rabi oscillations in two-component Bose-Einstein condensates with a coupling drive are studied by means of a pair of bosonic operators. The coupling drive and initial phase difference, will affect the amplitude and the period of the Rabi oscillations. The Rabi oscillations will vanish in the evolution of the condensate density for some special initial phase differences (phi = 0 or pi). Our theory provides not only an analytical framework for quantitative predictions for two-component condensates, but also gives ail intuitive understanding of some mysterious features observed in experiments and numerical simulations.
Using the numerical calculation,we have investigated the long-time evolution of atomicity density of two-component BEC,and have found that the evolution of condensate density in long time,which presents a typical quantumn collapse and revival with a complex period,is rather different from that in short time,which displays a regular cosine oscillation.Futhermore,we have also discussed the influence of the Rabi frequency of coupling drive field,various values for the relative phase,the strength of the coupling drive,the strength of the interatomic interaction in each condensate and the strength of the interspecies interaction on the evolution properties of atomicity density.