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Crystallization, Fermionization, and Cavity-Induced Phase Transitions of Bose-Einstein Condensates

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Abstract

Bose-Einstein condensates (BECs) are one of the cornerstones in the exploration of the quantum many-body physics of interacting indistinguishable particles. Here, we study them using the MultiConfigurational Time-Dependent Hartree for Bosons (MCTDHB) method implemented in the MCTDHB and MCTDH-X software packages using the Cray XC40 system Hazel Hen. In this year we investigated the physics of (i) fermionization and crystallization of ultracold strongly interacting bosons, (ii) correlations of bosons with strong dipolar interactions, (iii) cavity-induced phase transitions of ultracold bosons in high-finesse cavities, (iv) the dimensionality of the variance of BECs in annular confinements, (v) the dynamics of BECs with long-ranged interactions in a bosonic Josephson junction, (vi) the dynamics of BECs in an asymmetric bosonic Josephson junction, (vii) the variance of BECs in anharmonic traps. All these results are novel and intriguing findings that demonstrate the versatility of the MCTDHB method, its implementations in the MCTDHB and MCTDH-X software packages, and how extremely fruitful the computational resources at the HLRS system Hazel Hen were for the MCTDHB project there. For the sake of brevity, we restrict the present report to the results (i)–(iii). We conclude with an outline for possible future avenues in the development revolving around MCTDHB and MCTDH-X.

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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). We acknowledge financial support by the Austrian Science Foundation (FWF) under grants P32033 and M2653 as well as by the Wiener Wissenschafts- und TechnologieFonds (WWTF) project No. MA16-066. We acknowledge financial support from FAPESP, the Department of Science and Technology, Government of India under DST Inspire Faculty fellowship, a FAPESP (grant No. 2016/19622-0), a UFC fellowship, and financial support from the Swiss National Science Foundation and Mr. G. Anderheggen.

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Authors and Affiliations

  1. Institute of Physics, Hermann-Herder-Str. 3, 79104, Freiburg, Germany

    A. U. J. Lode

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

    A. U. J. Lode & C. Lévêque

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

    A. U. J. Lode & C. Lévêque

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

    O. E. Alon & S. K. Haldar

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

    O. E. Alon & S. K. Haldar

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

    L. S. Cederbaum

  7. Department of Physics, Presidency University, 86/1 College Street, Kolkata, 700 073, India

    B. Chakrabarti

  8. Department of Physics, Indian Institute of Technology-Kanpur, Kanpur, 208016, India

    B. Chatterjee

  9. Institute for Theoretical Physics, ETH Zürich, 8093, Zürich, Switzerland

    R. Chitra, R. Lin, P. Molignini & L. Papariello

  10. Instituto de Fisica, Universidade de São Paulo, CEP 05315-970, 66318, São Paulo, Brazil

    A. Gammal

  11. Department of Physics, University of South Africa, P.O. Box-392, Pretoria, 0003, South Africa

    M. L. Lekala

  12. São Carlos Institute of Physics, University of São Paulo, 369, São Carlos, São Paulo, 13560-970, Brazil

    M. C. Tsatsos

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  1. A. U. J. Lode
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Correspondence to A. U. J. Lode .

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  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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Lode, A.U.J. et al. (2021). Crystallization, Fermionization, and Cavity-Induced Phase Transitions of Bose-Einstein Condensates. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '19. Springer, Cham. https://doi.org/10.1007/978-3-030-66792-4_5

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