Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times.

ORAL

Abstract

The Quantum Quasi-Monte Carlo (QQMC) algorithm allows to compute observables in a system of strongly correlated fermions driven out of equilibrium by an external time-dependent field or a voltage bias. It can produce non perturbative results, and its computational cost is independent of time after a quench. Potential applications are numerous, ranging from the design of nanoelectronic devices, to transport properties of correlated materials, or even the characterization of quantum chaos. We will show how using quasi-Monte Carlo improved its performances compared to previous Markov-chain Monte Carlo, and illustrate with applications.

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Presenters

  • Corentin Bertrand

    • Simons Foundation

Authors

  • Corentin Bertrand

    • Simons Foundation

  • Philipp Dumitrescu

    • Simons Foundation

  • Marjan Maček

    • Université Grenoble Alpes, CEA, IRIG-PHELIQS, 38000 Grenoble, France

  • Olivier P Parcollet

    • Simons Foundation

  • Daniel Bauernfeind

    • Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA
    • Simons Foundation

  • Xavier Waintal

    • Université Grenoble Alpes, CEA, IRIG-PHELIQS, 38000 Grenoble, France
    • PHELIQS, Université Grenoble Alpes, CEA, Grenoble INP, IRIG, Grenoble 38000, France