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arXiv 1507.06339cond-mat.quant-gas
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量子牛顿摆中时标的分离

Separation of Timescales in a Quantum Newton's Cradle

R. van den Berg, B. Wouters, S. Eliëns, J. De Nardis, R. M. Konik, J. -S. Caux

摘要:

对于强排斥玻色子在一个维度上,我们提供了详细的建模的布拉格脉冲中使用的量子牛顿的摇篮般的设置或布拉格光谱实验。利用有限简谐囚禁气体的Fermi-Bose映射和环上热力学系统的Quench Action方法,我们精确地重建了Tonks-Girardeau极限下Lieb-Liniger气体的脉冲后多体时间演化,以及它们变化的局域密度分布和动量分布.我们的研究结果显示了一个明确的分离的时间尺度之间的快速和陷阱不敏感的放松后立即脉冲,其次是缓慢的陷阱周期性行为。

英文摘要:

For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a finite harmonically trapped gas and the Quench Action approach for a thermodynamic system on a ring, we reconstruct the exact post-pulse many-body time evolution of Lieb-Liniger gases in the Tonks-Girardeau limit, together with their changing local density profile and momentum distribution. Our results display a clear separation of timescales between rapid and trap-insensitive relaxation immediately after the pulse, followed by slow in-trap periodic behaviour.

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