https://doi.org/10.1140/epjd/s10053-024-00909-4
Regular Article - Cold Matter and Quantum Gases
Beyond-mean-field effects in dynamics of BEC in the double-well potential
1
Theoretical Physics Department, Physical-Technical Institute of the Uzbekistan Academy of Sciences, 2-B, Ch. Aytmatov, 100084, Tashkent, Uzbekistan
2
Institute of Theoretical Physics, National University of Uzbekistan, Str. University, 100174, Tashkent, Uzbekistan
b
RavilGalimzyanov2024@gmail.com
Received:
17
April
2024
Accepted:
23
August
2024
Published online:
20
September
2024
The nonlinear dynamics of a quasi-1D BEC loaded in a double-well potential is studied. The beyond-mean-field corrections to the energy in the form of the Lee–Huang–Yang term are taken into account. One-dimensional geometry is considered. The problem is described in the scalar approximation by the extended Gross–Pitaevskii (EGP) equation with the attractive quadratic nonlinearity, due to the Lee–Huang–Yang correction, and the effective cubic mean-field nonlinearity describing the residual intra- and inter-species interactions. To describe tunneling and localization phenomena, a two-mode model was obtained. The frequencies of the Josephson oscillations are found and confirmed by the full numerical simulations of the EGP equation. The parametric resonance in the Josephson oscillations, when the height of the barrier is periodically modulated, is studied. The predictions of the dimer model, including the case of the one-dimensional Lee–Huang–Yang superfluid, have been proven.
Copyright comment 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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
