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arXiv 1009.0653quant-phcond-mat.quant-gas
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一维谐振阱中连续测量的玻色-爱因斯坦凝聚体的非线性动力学

Non-Linear Dynamics of Continuously Measured Bose-Einstein Condensates in One-Dimensional Harmonic Traps

T. Yu. Ivanova, M. S. Samoylova, D. A. Ivanov

摘要:

连续的质心位置测量被认为是相互作用的谐波捕获玻色气体。利用半解析平均场方法和基于正P表示的全量子数值方法,证明了在强相互作用气体中,测量反作用引起的原子离域较小.数值计算的二阶关联函数表明,质心测量导致原子聚束现象的出现。虽然是相当小的聚束也存在于强相互作用的气体,这是在与未扰动气体的情况下。所执行的分析允许推测,对于相对强相互作用,用单个快照测量确定的原子云的大小可以变得小于基态云的大小。

英文摘要:

Continuous center-of-mass position measurements performed on an interacting harmonically trapped Bose-gas are considered. Using both semi-analytical mean-field approach and completely quantum numerical technique based on positive P-representation, it is demonstrated that the atomic delocalization due to the measurement back action is smaller for a strongly interacting gas. The numerically calculated second-order correlation functions demonstrate appearance of atomic bunching as a result of the center-of-mass measurement. Though being rather small the bunching is present also for strongly interacting gas which is in contrast with the case of unperturbed gas. The performed analysis allows to speculate that for relatively strong interactions the size of atomic cloud determined with a single snapshot measurement can become smaller than the ground-state cloud size.

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