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
Julkaistu sarjassa
Physical Review APäivämäärä
2017Tekijänoikeudet
© 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.
...
Julkaisija
American Physical SocietyISSN Hae Julkaisufoorumista
2469-9926Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/26984506
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiatutkija, SALisätietoja rahoituksesta
This 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).Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
A many-body approach to transport in quantum systems : From the transient regime to the stationary state
Ridley, Michael; Talarico, N. Walter; Karlsson, Daniel; Lo Gullo, Nicola; Tuovinen, Riku (IOP Publishing, 2022)We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can ... -
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 ... -
Thermodynamics of a Phase-Driven Proximity Josephson Junction
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 ... -
Contour calculus for many-particle functions
Hyrkäs, Markku; Karlsson, Daniel; van Leeuwen, Robert (IOP Publishing, 2019) -
Cutting rules and positivity in finite temperature many-body theory
Hyrkäs, Markku; Karlsson, Daniel; van Leeuwen, Robert (IOP Publishing, 2022)For a given diagrammatic approximation in many-body perturbation theory it is not guaranteed that positive observables, such as the density or the spectral function, retain their positivity. For zero-temperature systems ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.