Path integral and winding number in singular magnetic field
College of Science, Zhejiang University of Technology, 31023, Hangzhou, China
Accepted: 25 April 2022
Published online: 5 May 2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022