论文标题

在大甲虫速度中的量子波动的路径积分估计值

Path Integral Estimates of the Quantum Fluctuations of the Relative Soliton-Soliton Velocity in a Gross-Pitevskii Breather

论文作者

Datta, Sumita, Dunjko, Vanja, Olshanii, Maxim

论文摘要

在本文中,研究了大量的孤子子在毛taevskii的呼吸器中的相对速度的量子波动。呼吸被限制在一个弱的谐波陷阱中。这些波动是通过在产生呼吸器后四分之一的四分之一测量的两体相关函数间接监测的。将基于Feynman-KAC路径积分方法的量子量蒙特卡洛计算结果与使用Bogoliubov近似中最新建议的方法进行了比较,并获得了良好的一致性。

In this paper, the quantum fluctuations of the relative velocity of constituent solitons in a Gross-Pitaevskii breather are studied. The breather is confined in a weak harmonic trap. These fluctuations are monitored,indirectly, using a two-body correlation function measured at a quarter of the harmonic period after the breather creation. The results of an ab initio quantum Monte Carlo calculations, based on the Feynman-Kac path integration method, are compared with the analytical predictions using the recently suggested approach within the Bogoliubov approximation, and a good agreement is obtained.

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