https://doi.org/10.1140/epjd/s10053-023-00714-5
Regular Article – Cold Matter and Quantum Gases
Dynamics of hard-core bosons in one-dimensional harmonic potential with a periodic monochromatic drive
Institute of Theoretical Physics and Department of Physics, University of Science and Technology Beijing, 100083, Beijing, People’s Republic of China
Received:
16
February
2023
Accepted:
22
June
2023
Published online:
5
July
2023
We investigate the dynamics of the hard-core Bose gas in a harmonic trap with a periodic drive. With Bose–Fermi mapping method, the time-dependent wavefunction can be constructed based on the solution of single-particle Schrödinger equation under the periodic drive. It is shown that both the density distribution and momentum distribution preserve their initial profiles during the time evolution and behave as if the hard-core Bose gas is an entity particle. When the frequency of driving force is close to the trap frequency of harmonic potential, both the density distribution and momentum distribution exhibit the behaviors of classical beats, which is similar to the behavior of the composition of two classical harmonic oscillators with similar frequencies.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
