Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
复制标题
将零范围相互作用的精确二体传播器纳入 $N$ 体蒙特卡罗模拟中
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
D. Blume
中科院分区：
文献类型：
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作者：
Yangqian Yan;D. Blume
超冷原子气体，在非常接近的情况下，可以用成对的零程相互作用来描述。本文证明了在对积近似下，利用零程相互作用的精确两体传播子，用有限温度和基态路径积分的蒙特卡罗方法，可以可靠而有效地处理具有两体零程相互作用的$N元体系统。研究了一维和三维系统的简谐囚禁问题。提出了一种新的具有无限强零程相互作用的简谐囚禁二体系统的传播子，该传播子在实时演化方案中也有应用。
Ultracold atomic gases are, to a very good approximation, described by pairwise zero-range interactions. This paper demonstrates that $N$-body systems with two-body zero-range interactions can be treated reliably and efficiently by the finite temperature and ground state path integral Monte Carlo approaches, using the exact two-body propagator for zero-range interactions in the pair product approximation. Harmonically trapped one- and three-dimensional systems are considered. A new propagator for the harmonically trapped two-body system with infinitely strong zero-range interaction, which may also have applications in real time evolution schemes, is presented.