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Quantum simulators, phase transitions, resonant tunneling, and variances: A many-body perspective

In: High Performance Computing in Science and Engineering '21

Author

Listed:
  • A. U. J. Lode

    (Albert-Ludwigs-Universität Freiburg, Institute of Physics)

  • O. E. Alon

    (University of Haifa, Department of Mathematics
    University of Haifa, Haifa Research Center for Theoretical Physics and Astrophysics)

  • J. Arnold

    (University of Basel, Department of Physics)

  • A. Bhowmik

    (University of Haifa, Department of Mathematics
    University of Haifa, Haifa Research Center for Theoretical Physics and Astrophysics)

  • M. Büttner

    (Albert-Ludwigs-Universität Freiburg, Institute of Physics)

  • L. S. Cederbaum

    (Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut)

  • B. Chatterjee

    (Indian Institute of Technology-Kanpur, Department of Physics)

  • R. Chitra

    (ETH Zürich, Institute for Theoretical Physics)

  • S. Dutta

    (University of Haifa, Department of Mathematics
    University of Haifa, Haifa Research Center for Theoretical Physics and Astrophysics)

  • C. Georges

    (The Hamburg Center for Ultrafast Imaging)

  • A. Hemmerich

    (The Hamburg Center for Ultrafast Imaging
    Universität Hamburg, Zentrum für Optische Quantentechnologien and Institut für Laser-Physik)

  • H. Keßler

    (The Hamburg Center for Ultrafast Imaging)

  • J. Klinder

    (The Hamburg Center for Ultrafast Imaging)

  • C. Lévêque

    (TU Wien, Vienna Center for Quantum Science and Technology, Atominstitut
    University of Vienna, Wolfgang Pauli Institute c/o Faculty of Mathematics)

  • R. Lin

    (ETH Zürich, Institute for Theoretical Physics)

  • P. Molignini

    (ETH Zürich, Institute for Theoretical Physics
    University of Oxford, Clarendon Laboratory, Department of Physics)

  • F. Schäfer

    (University of Basel, Department of Physics)

  • J. Schmiedmayer

    (TU Wien, Vienna Center for Quantum Science and Technology, Atominstitut)

  • M. Žonda

    (Charles University in Prague, Department of Condensed Matter Physics)

Abstract

This 2021 report summarizes our activities at the HLRS facilities Hawk and Hazel Hen in the framework of the multiconfigurational time-dependent Hartree for indistinguishable particles (MCTDH-X) high-performance computation project. Our results are a bottom-up investigation into exciting and intriguing many-body physics and phase diagrams obtained via the direct solution of the Schrödinger equation and its comparison to experiments, and via machine learning approaches.We investigated ultracold-boson quantum simulators for crystallization and superconductors in a magnetic field, the phase transitions of ultracold bosons interacting with a cavity and of charged fermions in lattices described by the Falicov–Kimball model. Moreover, we report exciting findings on the many-body dynamics of tunneling and variances, in two and three-dimensional ultracold-boson systems, respectively.

Suggested Citation

  • A. U. J. Lode & O. E. Alon & J. Arnold & A. Bhowmik & M. Büttner & L. S. Cederbaum & B. Chatterjee & R. Chitra & S. Dutta & C. Georges & A. Hemmerich & H. Keßler & J. Klinder & C. Lévêque & R. Lin & P, 2023. "Quantum simulators, phase transitions, resonant tunneling, and variances: A many-body perspective," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '21, pages 35-59, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-17937-2_3
    DOI: 10.1007/978-3-031-17937-2_3
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