Eur. Phys. J. Plus (2022) 137: 550
https://doi.org/10.1140/epjp/s13360-022-02775-8

Regular Article

Path integral and winding number in singular magnetic field

College of Science, Zhejiang University of Technology, 31023, Hangzhou, China

^b xionghw@zjut.edu.cn

Received: 2 March 2022
Accepted: 25 April 2022
Published online: 5 May 2022

Abstract

We study a system of identical particles in a singular magnetic field by path integral molecular dynamics. We analytically solve the problem for the energy spectrum of a single particle in a singular magnetic field and find good agreement with our numerical results. In particular, we develop the method to perform path integral molecular dynamics simulations for the many-body problem, where the recursion formula to calculate the winding number for identical bosons is given. It is expected that the algorithm developed here has a wide range of applications to cold atoms with artificial magnetic field.