Gross-Pitevskii呼吸子中孤子-孤子相对速度量子涨落的路径积分估计
Path Integral Estimates of the Quantum Fluctuations of the Relative Soliton-Soliton Velocity in a Gross-Pitevskii Breather
摘要：
本文研究了Gross-Pitaevskii呼吸子中孤子相对速度的量子涨落。呼吸器被限制在弱谐波陷阱中。这些波动进行监测，间接地，使用两个身体的关联函数在四分之一的谐波周期后，呼吸创建测量。的从头计算量子Monte Carlo计算的结果，基于Feynman-Kac路径积分方法，进行了比较与最近建议的方法内的Bogoliubov近似的分析预测，并获得了良好的协议。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
