Driven Bose-Hubbard model with a parametrically modulated harmonic trap
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
Published inPhysical Review A
© 2017 American Physical Society. Published in this repository with the kind permission of the publisher.
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. ...
PublisherAmerican Physical Society
Publication in research information system
MetadataShow full item record
Related funder(s)Academy of Finland
Funding program(s)Research post as Academy Research Fellow, AoF
Additional information about fundingThis work was supported by the German Research Foundation (DFG), the DFG Collaborative Research Centers SFB 925 and SFB/TR185, and by the Academy of Finland (Contract No. 275245).
Showing items with similar title or keywords.
Application of time-dependent many-body perturbation theory to excitation spectra of selected finite model systems Säkkinen, Niko (University of Jyväskylä, 2016)In this thesis, an approximate method introduced to solve time-dependent many-body problems known as time-dependent many-body perturbation theory is studied. Many-body perturbation theory for interacting electrons and ...
Vischi, Francesco; Carrega, Matteo; Braggio, Alessandro; Virtanen, Pauli; Giazotto, Francesco (MDPI, 2019)We study the thermodynamic properties of a superconductor/normal metal/superconductor Josephson junction in the short limit. Owing to the proximity effect, such a junction constitutes a thermodynamic system where phase ...
Ockeloen-Korppi, C. F.; Heikkilä, Tero; Sillanpää, M. A.; Massel, Francesco (Institute of Physics Publishing Ltd., 2017)The investigation of the ultimate limits imposed by quantum mechanics on amplification represents an important topic both on a fundamental level and from the perspective of potential applications. We discuss here a novel ...
Kudryashova, E. V.; Kuznetsov, Nikolay; Kuznetsova, O. A.; Leonov, G. A.; Mokaev, Timur (Springer, 2019)The development of the theory of discontinuous dynamical systems and differential inclusions was not only due to research in the field of abstract mathematics but also a result of studies of particular problems in mechanics. ...
Bazanov, Ilia (2017)Customer information can be used to tailor products, services and consumption experiences to fit the specific needs and tastes of customers. Website personalization allows changing radically the attitude of a website for ...