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Journal of Xiangnan University

Influence of Inter-atomic Interactions on Tunneling Dynamics in Trapped-atom Bose-Einstein Condensates

Li Jin

Published Jan 1, 2003• 0 citations
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Abstract

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.

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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.
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.
We study the coherent atomic tunneling between two zero-temperature Bose-Einstein condensates (BEC) confined in a double-well magnetic trap. Two Gross-Pitaevskii equations for the self-interacting BEC amplitudes, coupled by a transfer matrix element, describe the dynamics in terms of the interwell phase difference and population imbalance. In addition to the anharmonic generalization of the familiar ac Josephson effect and plasma oscillations occurring in superconductor junctions, the nonlinear BEC tunneling dynamics sustains a self-maintained population imbalance: a novel ``macroscopic quantum self-trapping'' effect.
We investigate tunneling dynamics of atomic group consisting of three atoms in Bose–Einstein condensates with Feshbach resonance. It is shown that the tunneling of the atom group depends not only on the inter-atomic nonlinear interactions and the initial number of atoms in these condensates, but also on the tunneling coupling between the atomic condensate and the three-atomic molecular condensate. It is found that besides oscillating tunneling current between the atomic condensate and the molecular condensate, the nonlinear atomic group tunneling dynamics sustains a self-maintained 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 indicated that de-coherence suppresses the atomic group tunneling.