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Path integral and winding number in singular magnetic field

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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.

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Data Availability Statement

This manuscript has associated data in a data repository. [Author’s comment: The data that support the findings of this study are available from the corresponding author upon reasonable request. The code of this study is openly available in GitHub at https://github.com/xiongyunuo/PIMD-for-Singular-Magnetic-Field.]

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Funding

The funding was provided by National Natural Science Foundation of China (Grant No. 11175246).

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Authors and Affiliations

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

    Yunuo **ong & Hongwei **ong

Authors
  1. Yunuo **ong
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  2. Hongwei **ong
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Correspondence to Hongwei **ong.

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**ong, Y., **ong, H. Path integral and winding number in singular magnetic field. Eur. Phys. J. Plus 137, 550 (2022). https://doi.org/10.1140/epjp/s13360-022-02775-8

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