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Simulations of Strongly Correlated Quantum Systems out of Equilibrium

In: High Performance Computing in Science and Engineering `07

Author

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  • S.R. Manmana

    (Universität Stuttgart, Institut für Theoretische Physik III
    Philipps Universität Marburg, Fachbereich Physik
    École Polytechnique Fédérale de Lausanne, Institute of Theoretical Physics)

  • K. Rodriguez

    (Universität Stuttgart, Institut für Theoretische Physik III)

  • A. Muramatsu

    (Universität Stuttgart, Institut für Theoretische Physik III)

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.

Suggested Citation

  • S.R. Manmana & K. Rodriguez & A. Muramatsu, 2008. "Simulations of Strongly Correlated Quantum Systems out of Equilibrium," Springer Books, in: Wolfgang E. Nagel & Dietmar Kröner & Michael Resch (ed.), High Performance Computing in Science and Engineering `07, pages 71-81, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74739-0_5
    DOI: 10.1007/978-3-540-74739-0_5
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