A1 Journal article (refereed)
Driven Bose-Hubbard model with a parametrically modulated harmonic trap (2017)

Mann, N., Bakhtiari, M. R., Massel, F., Pelster, A., & Thorwart, M. (2017). Driven Bose-Hubbard model with a parametrically modulated harmonic trap. Physical Review A, 95(4), Article 043604. https://doi.org/10.1103/PhysRevA.95.043604

JYU authors or editors

Publication details

All authors or editors: Mann, N.; Bakhtiari, M. Reza; Massel, Francesco; Pelster, A.; Thorwart, M.

Journal or series: Physical Review A

ISSN: 2469-9926

eISSN: 2469-9934

Publication year: 2017

Volume: 95

Issue number: 4

Article number: 043604

Publisher: American Physical Society

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/PhysRevA.95.043604

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/53810


We investigate a one-dimensional Bose–Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local interaction of the atoms in the lattice and the driving of the global trap allows us to control the dynamical stability of the trapped quantum many-body state. The impact of the atomic interaction on the dynamical stability of the driven quantum many-body state is revealed in the regime of weak interaction by analyzing a discretized Gross–Pitaevskii equation within a Gaussian variational ansatz, yielding a Mathieu equation for the condensate width. The parametric resonance condition is shown to be modified by the atom interaction strength. In particular, the effective eigenfrequency is reduced for growing interaction in the mean-field regime. For a stronger interaction, the impact of the global parametric drive is determined by the numerically exact time-evolving block decimation scheme. When the trapped bosons in the lattice are in a Mott insulating state, the absorption of energy from the driving field is suppressed due to the strongly reduced local compressibility of the quantum many-body state. In particular, we find that the width of the local Mott region shows a breathing dynamics. Finally, we observe that the global modulation also induces an effective time-independent inhomogeneous hopping strength for the atoms.

Free keywords: quantum many-body systems; quantum gas; Bose–Hubbard model; harmonic trap

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Ministry reporting: Yes

Reporting Year: 2017

JUFO rating: 2

Last updated on 2021-17-09 at 16:20