Simulations of Strongly Correlated Quantum Systems out of Equilibrium

S.R. Manmana, K. Rodriguez and A. Muramatsu
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S.R. Manmana: Universität Stuttgart, Institut für Theoretische Physik III
K. Rodriguez: Universität Stuttgart, Institut für Theoretische Physik III
A. Muramatsu: Universität Stuttgart, Institut für Theoretische Physik III

A chapter in High Performance Computing in Science and Engineering `07, 2008, pp 71-81 from Springer

Abstract: Abstract We use the recently developed adaptive time-dependent density matrix renormalization group method as well as advanced quantum Monte Carlo simulations to analyze the properties of strongly correlated quantum systems out of equilibrium. In particular, we consider the evolution of one-dimensional spinless fermions, after a quantum quench from the metallic into the insulating interaction regime. We find that following the quench the systems relaxes after a characteristic time-scale, set by its kinetic energy, to a non-thermal state. We show, how the system’s properties in this quasi-stationary regime can be characterized based upon appropriately generalized Gibbs ensembles. Furthermore, we consider the emergence of coherence with bosons starting from a Mott-insulator, that lead to an alternative concept for an atom-laser.

Keywords: Density Matrix; Matter Wave; Luttinger Liquid; Free Expansion; Density Matrix Renormalization Group (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74739-0_5

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DOI: 10.1007/978-3-540-74739-0_5

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