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Chinese Physics Letters

Mean-Field Dynamics of a Two-Mode Bose-Einstein Condensate Subject to Decoherence

崔博, 武松林, 衣学喜

Published Jan 1, 2010• 0 citations
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Abstract

我们在一个双井潜力题目讨论 Bose 爱因斯坦冷凝物的动力学到 decoherence (或粒子损失) 。从完整的许多身体动力学开始由主人方程描述了，一个有效 Gross-Pitaevskii-like 方程在吝啬地的近似被导出。由数字地解决 GP 方程，我们发现那宏观的量自我套住为强壮的 decoherence 消失，当概括时自我套住发生在弱 decoherence 下面。固定的点被计算了，并且我们发现那一个突然的变化从对一个引起注意的人和 repeller 椭圆形发生，在这些附近反映系统的亚稳的行为指。[从作者抽象]

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我们在一个双井潜力题目讨论 Bose 爱因斯坦冷凝物的动力学到 decoherence (或粒子损失) 。从完整的许多身体动力学开始由主人方程描述了，一个有效 Gross-Pitaevskii-like 方程在吝啬地的近似被导出。由数字地解决 GP 方程，我们发现那宏观的量自我套住为强壮的 decoherence 消失，当概括时自我套住发生在弱 decoherence 下面。固定的点被计算了，并且我们发现那一个突然的变化从对一个引起注意的人和 repeller 椭圆形发生，在这些附近反映系统的亚稳的行为指。[从作者抽象]
We discuss the dynamics of Bose-Einstein condensates in a double-well potential subject to decoherence (or particle loss). Starting from the full many-body dynamics described by the master equation, an effective Gross-Pitaevskii-like equation is derived in the mean-field approximation. By numerically solving the GP equation, we find that macroscopic quantum self-trapping disappears for strong decoherence, while generalized self-trapping occurs under weak decoherence. The fixed points have been calculated, and we find that an abrupt change from elliptic to an attractor and a repeller occurs, reflecting the metastable behavior of the system around these points.
Quantum phenomena appear in a macroscopic scale in Bose-Einstein condensates. The Gross-Pitaevskii (GP) equation describes the dynamics of the weakly interacting Bose-Einstein condensates. The GP equation has a form of the Schroedinger equation with self-interaction. The coupled Gross-Pitaevskii equations are used to describe some mixtures of Bose-Einstein condensates. In this paper, we will show some numerical results of coupled Gross-Pitaevskii equations without self-interaction, which has a form of nonlinearly-coupled Schroedinger equations. We demonstrate that the macroscopic oscillation and the interference of two quantum wave packets decay in time owing to mutual interaction, which is analogous to the decoherence in quantum mechanics of many particles.