https://doi.org/10.1140/epjd/s10053-023-00681-x
Regular Article – Cold Matter and Quantum Gases
Quench dynamics of anyon Tonks–Girardeau gases
Institute of Theoretical Physics and Department of Physics, University of Science and Technology Beijing, 100083, Beijing, China
Received:
18
March
2023
Accepted:
24
May
2023
Published online:
6
June
2023
In this paper, we investigate the quench dynamics of strongly interacting anyons triggered by the quench of harmonic trap frequency. The exact time-dependent many-body wavefunction is obtained by combing anyon-fermion mapping method with the time-dependent single-particle wavefunction. The density profiles, momentum distribution, and the reduced one-body density matrix are evaluated for different statistical parameters. It is shown that the evolution behaviours dependent on statistical parameter are displayed in the momentum distribution and the reduced one-body density matrix rather than in the density profiles in real space. As the harmonic trap is turned off suddenly, the momentum distributions exhibit the symmetric fermion-like behaviour in the long-time evolution. As the trap frequency is quenched, the momentum distribution exhibits an asymmetry breath mode during the evolution. The reduced one-body density matrix shows the dynamical symmetry broken and reproduced behaviour.
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