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arXiv:cond-mat/0003439 · Physical Review A

Decoherence in two Bose-Einstein condensates

Le‐Man Kuang, Zhao-Yang Tong, Zhong-Wen Ouyang, Hao‐Sheng Zeng

Published Dec 14, 1999• 65 citations
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Abstract

In this paper, decoherence in a system consisting of two Bose-Einstein condensates is investigated analytically. It is indicated that decoherence can be controlled by manipulating the interaction between the system and environment. The influence of the decoherence on quantum coherent atomic tunneling (AT) between two condensates with arbitrary initial states is studied in detail. Analytical expressions of the population difference (PD) and the AT current between two condensates are found. It is shown that the decoherence leads to the decay of the PD and the suppression of the AT current.

DOI
10.1103/physreva.61.013608

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In this paper, decoherence in a system consisting of two Bose-Einstein condensates is investigated analytically. It is indicated that decoherence can be controlled by manipulating the interaction between the system and environment. The influence of the decoherence on quantum coherent atomic tunneling (AT) between two condensates with arbitrary initial states is studied in detail. Analytical expressions of the population difference (PD) and the AT current between two condensates are found. It is shown that the decoherence leads to the decay of the PD and the suppression of the AT current.
Tunneling dynamics of multi-atomic molecules between any two multi-atomic molecular Bose–Einstein condensates with Feshbach resonance is investigated. It is indicated that the tunneling in the two Bose–Einstein condensates depends not only on the inter-molecular nonlinear interactions and the initial number of molecule in these condensates, but also on the tunneling coupling between them. It is discovered that besides oscillating tunneling current between the multi-atomic molecular condensates, the nonlinear multi-atomic molecular tunneling dynamics sustains a self-locked population imbalance: a macroscopic quantum self-trapping effect. The influence of de-coherence caused by non-condensate molecule on the tunneling dynamics is studied. It is shown that de-coherence suppresses the multi-atomic molecular tunneling.
Tunneling dynamics of multi-atomic molecules between atomic and multi-atomic molecular Bose–Einstein condensates with Feshbach resonance is investigated. It is indicated that the tunneling in the two Bose–Einstein condensates depends on not only the inter-atomic-molecular nonlinear interactions and the initial number of atoms in these condensates, but also the tunneling coupling between the atomic condensate and the multi-atomic molecular condensate. It is discovered that besides oscillating tunneling current between the atomic condensate and the multi-atomic molecular condensate, the nonlinear multi-atomic molecular tunneling dynamics sustains a self-locked population imbalance: a macroscopic quantum self-trapping effect. The influence of de-coherence caused by non-condensate atoms on the tunneling dynamics is studied. It is shown that de-coherence suppresses the multi-atomic molecular tunneling. Moreover, the conception of the molecular Bose–Einstein condensate, which is different from the conventional single-atomic Bose–Einstein condensate, is specially emphasized in this paper.
In this paper, we study the influence of the interatomic linear and nonlinear interactions on tunneling dynamics in two zerotemperature BoseEinstein condensates (BECs) when the two BECs are in coherent states. The shorttime behaviors of the tunneling dynamics are investigated in detail. It is found that the population difference between two BECs exhibits periodic Rabbi oscillations with a period, which depends upon not only interatomic linear and nonlinear interactions but also the initial state of two BECs. We show that the twoBEC system may reach a selftrapping stationary state through adjusting interatomic interactions and the initial state of the system under our consideration. We also investigate the coherent atomic tunneling current between BECs, and find that under certain conditions coherent atomic tunneling current may be a pure DC atom current.
We study tunneling dynamics of atomic pairs in Bose-Einstein condensates with Feshbach resonances. It is shown that the tunneling of the atomic pairs depends on not only the tunneling coupling between the atomic condensate and the molecular condensate, but also the interatomic nonlinear interactions and the initial number of atoms in these condensates. It is found that in addition to oscillating tunneling current between the atomic condensate and the molecular condensate, the nonlinear atomic-pair tunneling dynamics sustains a self-locked population imbalance: a macroscopic quantum self-trapping effect. The influence of decoherence induced by noncondensate atoms on the tunneling dynamics is investigated. It is shown that decoherence suppresses atomic-pair tunneling.