Optimal time-dependent lattice models for nonequilibrium dynamics

• Verfasst von: Sakmann, Kaspar [VerfasserIn]
• Verfasst von: Streltsov, Alexej Iwanowitsch [VerfasserIn]
• Verfasst von: Alon, Ofir E. [VerfasserIn]
• Verfasst von: Cederbaum, Lorenz S. [VerfasserIn]
• Titel: Optimal time-dependent lattice models for nonequilibrium dynamics
• Verf.angabe: Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon and Lorenz S. Cederbaum
• E-Jahr: 2011
• Jahr: 5 April 2011
• Umfang: 11 S.
• Fussnoten: Gesehen am 30.09.2022
• Titel Quelle: Enthalten in: New journal of physics
• Ort Quelle: [Bad Honnef] : Dt. Physikalische Ges., 1999
• Jahr Quelle: 2011
• Band/Heft Quelle: 13(2011), 4, Artikel-ID 043003, Seite 1-11
• ISSN Quelle: 1367-2630
• DOI: doi:10.1088/1367-2630/13/4/043003
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1817901389

Abstract

Lattice models are central to the physics of ultracold atoms and condensed matter. Generally, lattice models contain time-independent hopping and interaction parameters that are derived from the Wannier functions of the noninteracting problem. Here, we present a new concept based on time-dependent Wannier functions and the variational principle that leads to optimal time-dependent lattice models. As an application, we use the Bose-Hubbard model with time-dependent Wannier functions to study an interaction quench scenario involving higher bands. We find a separation of time-scales in the dynamics. The results are compared with numerically exact results of the time-dependent many-body Schrödinger equation. We thereby show that—under some circumstances—the multi-band nonequilibrium dynamics of a quantum system can be obtained essentially at the cost of a single-band model.