Chinese Journal of Quantum Electronics ›› 2023, Vol. 40 ›› Issue (4): 528-540.doi: 10.3969/j.issn.1007-5461.2023.04.012

• Quantum Optics • Previous Articles     Next Articles

Correlation properties of Bose⁃Fermi mixture with one⁃dimensional strong interaction

LI Yan 1,2   

  1. ( 1 School of Physics and Electronic Information, Nanchang Normal University, Nanchang 330032, China; 2 School of Physics and Mathematics, Hunan University of Arts and Science, Changde 415000, China )
  • Received:2021-05-25 Revised:2021-09-06 Published:2023-07-28 Online:2023-07-28

Abstract: The spatial two-body correlations of Bose-Fermi mixture with equal masses of bosons and fermions in Tonks-Girardeau regime under periodic boundary conditions are theoretically investigated. Combining the exact solution of the quantum many-body system, the analytical formula of the spatial correlation functions for Bose-Fermi mixture at both absolute zero temperature and finite low temperatures are derived using some calculating techniques. The results show that, for a fixed number of bosons (fermions) at absolute zero temperature, the number of fermions (bosons) has little effect on the spatial correlation function of bosons (fermions). By contrast, at finite temperature, the number of fermions (bosons) has a greater effect on the spatial correlation function of bosons (fermions), and with the increase of temperature, the influence of the other particles number on the correlation results will be more significant. In addition, when the total particle number is fixed, the correlation results of the same number of bosons and fermions are consistent whether at absolute zero temperature or at a finite temperature.

Key words: quantum optics, quantum correlation, Bose-Fermi mixture, Tonks-Girardeau regime

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