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Many-Body Effects in Fragmented, Depleted, and Condensed Bosonic Systems in Traps and Optical Cavities by MCTDHB and MCTDH-X

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High Performance Computing in Science and Engineering ' 17

Abstract

The many-body physics of trapped Bose-Einstein condensates (BECs) is very rich and demanding. During the past year of the MCTDHB project at the HLRS we continued to shed further light on it with the help of the MultiConfigurational Time-Dependent Hartree for Bosons (MCTDHB) method and using the MCTDHB and MCTDH-X software packages. Indeed, our results on which we report below span a realm of many-body effects in fragmented, depleted, and even in fully condensed BECs. Our findings include: (1) fragmented superradiance of a BEC trapped in an optical cavity; (2) properties of phantom (fragmented) vortices in trapped BECs; (3) dynamics of a two-dimensional trapped BEC described by the Bose-Hubbard Hamiltonian with MCTDH-X; (4) overlap of exact and Gross-Pitaevskii wave-functions in trapped BECs; (5) properties of the uncertainty product of an out-of-equilibrium trapped BEC; (6) many-body excitations and de-excitations in trapped BECs and relation to variance; and (7) many-body effects in the excitation spectrum of weakly-interacting BECs in finite one-dimensional optical lattices. These are all appealing and fundamental many-body results made through the kind allocation of computer resources by the HLRS to the MCTDHB project. Finally, we put forward some future developments and research plans, as well as further many-body perspectives.

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Acknowledgements

Financial support by the Deutsche Forschungsgemeinschaft (DFG) is gratefully acknowledged. OEA acknowledges funding by the Israel Science Foundation (Grant No. 600/15). RB acknowledges financial support by the IMPRS-QD (International Max Planck Research School for Quantum Dynamics), the Landes-graduiertenförderung Baden-Württemberg, and the Minerva Foundation. AUJL and CB acknowledge financial support by the Swiss SNF and the NCCR Quantum Science and Technology. MCT acknowledges financial support by FAPESP.

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Authors and Affiliations

  1. Department of Mathematics, University of Haifa, Haifa, 3498838, Israel

    Ofir E. Alon

  2. Haifa Research Center for Theoretical Physics and Astrophysics, University of Haifa, Haifa, 3498838, Israel

    Ofir E. Alon

  3. Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 229, 69120, Heidelberg, Germany

    Raphael Beinke, Lorenz S. Cederbaum, Shachar Klaiman, Marcus Theisen & Alexej I. Streltsov

  4. Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056, Basel, Switzerland

    Christoph Bruder & Axel U. J. Lode

  5. Wolfgang Pauli Institute, c/o Faculty of Mathematics, University of Vienna, Oskar-Morgenstern Platz 1, 1090, Vienna, Austria

    Axel U. J. Lode

  6. Vienna Center for Quantum Science and Technology, Atominstitut TU Wien, Stadionallee 2, 1020, Vienna, Austria

    Axel U. J. Lode & Kaspar Sakmann

  7. Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, SP, 13560-970, Brazil

    Marios C. Tsatsos

  8. Department of Physics, University of California, Berkeley, CA, 94720-1462, USA

    Storm E. Weiner

  9. Institut für Physik, Universität Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany

    Alexej I. Streltsov

Authors
  1. Ofir E. Alon
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  2. Raphael Beinke
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  3. Christoph Bruder
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  4. Lorenz S. Cederbaum
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  6. Axel U. J. Lode
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  7. Kaspar Sakmann
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  8. Marcus Theisen
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  9. Marios C. Tsatsos
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  10. Storm E. Weiner
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  11. Alexej I. Streltsov
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Corresponding author

Correspondence to Alexej I. Streltsov .

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Editors and Affiliations

  1. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

  2. Abteilung für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum Stuttgart (HLRS), Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

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Alon, O.E. et al. (2018). Many-Body Effects in Fragmented, Depleted, and Condensed Bosonic Systems in Traps and Optical Cavities by MCTDHB and MCTDH-X. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ' 17 . Springer, Cham. https://doi.org/10.1007/978-3-319-68394-2_6

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