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Communications in Theoretical Physics

Interference of Two-Component Bose–Einstein Condensates with a Coupling Drive in Presence of Dissipation

Zhao-Xian Yu, Ji‐Suo Wang, Zhi-Yong Jiao

Published Sep 1, 2005• 0 citations
Publisher

Abstract

The interference of the two-component Bose–Einstein condensates with a coupling drive in the presence of the dissipation is studied. We find that when the two-component Bose–Einstein condensates are initially in the coherent states, for the smaller dissipation parameters compared with that of the rf frequency ω rf , the interference intensity exhibits damply oscillation behavior, whereas when the dissipation parameters are larger than that of the ω rf , the interference intensity exhibits a fast attenuation behavior. As a comparison, the interference intensity in the absence of the dissipation is also studied. We conclude that the dissipation of the system can be evaluated by selecting the ω rf experimentally.

DOI
10.1088/6102/44/3/532

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The interference of the two-component Bose–Einstein condensates with a coupling drive in the presence of the dissipation is studied. We find that when the two-component Bose–Einstein condensates are initially in the coherent states, for the smaller dissipation parameters compared with that of the rf frequency ω rf , the interference intensity exhibits damply oscillation behavior, whereas when the dissipation parameters are larger than that of the ω rf , the interference intensity exhibits a fast attenuation behavior. As a comparison, the interference intensity in the absence of the dissipation is also studied. We conclude that the dissipation of the system can be evaluated by selecting the ω rf experimentally.
The dynamics of two-component Bose-Einstein condensates with coupling drive is studied using a pair of bosonic operators. We demonstrate that the effect of the coupling drive on the evolution of the relative phase of the two-component Bose-Einstein condensates depends on the initial relative phase difference between the two condensates. In some special initial phase differences $(\ensuremath{\varphi}=0$ and $\ensuremath{\pi})$ the condensate density are not sinusoidal functions of time, and the interference pattern is not steady either. The coupling drive also reduces the amplitude and the period of the oscillation. Our theoretical result confirms the experimental observations reported in Phys. Rev. Lett. 81, 1543 (1998).
Interference between the two Bose–Einstein condensates with collision and dissipation is investigated. It is found that when the two condensates are initially in the coherent state, the interference intensity is affected by the collision and dissipation, but for the initial Fock state, it is only related to the dissipation. Whether the initial state is in the coherent state or in a Fock state, the fidelity time has nothing to do with collision. For the initial coherent state, the fidelity loss rate is zero, but for the initial Fock state, it is determined by the initial particle number of the two condensates and dissipation.
Interference between the two Bose-Einstein condensates with collision and dissipation is investigated. Itis found that when the two condensates are initially in the coherent state, the interference intensity is affected by thecollision and dissipation, but for the initial Fock state, it is only related to the dissipation. Whether the initial stateis in the coherent state or in a Fock state, the fidelity time has nothing to do with collision. For the initial coherentstate, the fidelity loss rate is zero, but for the initial Fock state, it is determined by the initial particle number of thetwo condensates and dissipation.
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.
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.