Journal of East China Normal University(Natural Science) >

2024 , Vol. 2024 >Issue 3: 73 - 83

DOI: https://doi.org/10.3969/j.issn.1000-5641.2024.03.008

Atomic，Molecular, and Optical Physics

Floquet two-body problem in a harmonic trap

  • Dongfan YAN
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  • State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai　200241, China

Received date: 2023-02-24

  Online published: 2024-05-25

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Abstract

The dynamics of quantum gases with time-varying interactions have attracted research interests owing to recent advances in experimental techniques such as optical Feshbach resonance. A range of novel dynamic behaviors including the Farady pattern and Bose fireworks have been observed in these systems. In this research, the dynamic problem of two harmonically trapped atoms with periodically modulating interaction strength is investigated. Because of the Hamiltonian time dependence, the system energy is an unconserved quantity. However, we may continue to utilize the Floquet theory for the time-periodic Hamiltonian and define its quasi-energy. The exact equations for the quasi-energies of the two-body problem are derived. Upon numerically solving these equations, we identify that the two-body quasi-energy spectrum exhibits various novel behaviors for different driven parameters or frequencies.

Key words： quantum gases; two-body problem; periodically; quasi-energy

Cite this article

Dongfan YAN . Floquet two-body problem in a harmonic trap[J]. Journal of East China Normal University(Natural Science), 2024 , 2024(3) : 73 -83 . DOI: 10.3969/j.issn.1000-5641.2024.03.008

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