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

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. Molignini, F. Schäfer, J. Schmiedmayer and M. Žonda
Additional contact information
A. U. J. Lode: Albert-Ludwigs-Universität Freiburg, Institute of Physics
O. E. Alon: University of Haifa, Department of Mathematics
J. Arnold: University of Basel, Department of Physics
A. Bhowmik: University of Haifa, Department of Mathematics
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
C. Georges: The Hamburg Center for Ultrafast Imaging
A. Hemmerich: The Hamburg Center for Ultrafast Imaging
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
R. Lin: ETH Zürich, Institute for Theoretical Physics
P. Molignini: ETH Zürich, Institute for Theoretical 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

A chapter in High Performance Computing in Science and Engineering '21, 2023, pp 35-59 from Springer

Abstract: 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.

Date: 2023
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DOI: 10.1007/978-3-031-17937-2_3

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