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High Performance Computing in Science and Engineering ´16 pp 79–96Cite as

Vorticity, Variance, and the Vigor of Many-Body Phenomena in Ultracold Quantum Systems: MCTDHB and MCTDH-X

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Abstract

During the past year of the MCTDHB project at the HLRS, we continued to strive and conquest further applications, developments, and expansion of the MultiConfigurational Time-Dependent Hartree for Bosons (MCTDHB) method in the context of ultracold atomic systems. We also announce the MCTDH-X package, the Multiconfigurational Time-Dependent Hartree for Indistinguishable Particles X package, which is able to treat identical bosons and fermions, with or without spin/internal degrees of freedom, alike. Here we report on a plethora of results and versatile applications which include: (i) single-shot imaging of fluctuating vortices in a fragmented Bose-Einstein condensate (BEC); (ii) the many-body tunneling and fragmetnation of vortices in 2D trapped BECs; (iii) the transition from vortices to solitonic vortices in 2D trapped BECs; (iv) the variance of a many-particle system being very sensitive to correlations even in the infinite-particle limit; (v) the consequences of the latter on the out-of-equilibrium uncertainty product of an evolving BEC; (vi) the mechanism of tunneling to open space of a few interacting polarized fermions; and (vii) composite fragmentation of multi-components BECs (i.e., with internal degrees of freedom). These are all exciting results made throughout the allocation of computer time by the HLRS to the MCTDHB project. Finally, further perspectives and future research plans are briefly discussed.

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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 support from the Heidelberg Graduate School of Fundamental Physics (HGSFP). MJE and NGP acknowledge support by EPSRC (UK) Grant No. EP/M005127/1. EF gratefully acknowledges funding from the Research Council of Norway (RCN) through CoE Grant No. 179568/V30 (CTCC). AUJL acknowledges financial support by the Swiss SNF and the NCCR Quantum Science and Technology. KS acknowledges support through the Karel Urbanek Postodcoral Research Fellowship from the Applied Physics Department of Stanford University. MCT acknowledges funding by FAPESP and CePOF at IFSC-University of São Paulo.

Author information

Authors and Affiliations

  1. Department of Physics, University of Haifa at Oranim, 36006, Tivon, Israel

    Ofir E. Alon

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

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

  3. Joint Quantum Centre (JQC) Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, NE1 7RU, Newcastle upon Tyne, England, UK

    Matthew J. Edmonds & Nick G. Parker

  4. Department of Chemistry, University of Tromsø – The Arctic University of Norway, Centre for Theoretical and Computational Chemistry, N-9037, Tromsø, Norway

    Elke Fasshauer

  5. Department of Physics, Stanford University, 94305, Stanford, CA, USA

    Mark A. Kasevich

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

    Axel U. J. Lode

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

    Kaspar Sakmann

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

    Marios C. Tsatsos

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  1. Ofir E. Alon
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  2. Raphael Beinke
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  3. Lorenz S. Cederbaum
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  4. Matthew J. Edmonds
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  5. Elke Fasshauer
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  6. Mark A. Kasevich
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  7. Shachar Klaiman
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  8. Axel U. J. Lode
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  9. Nick G. Parker
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  10. Kaspar Sakmann
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  11. Marios C. Tsatsos
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  12. 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. (2016). Vorticity, Variance, and the Vigor of Many-Body Phenomena in Ultracold Quantum Systems: MCTDHB and MCTDH-X. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering ´16. Springer, Cham. https://doi.org/10.1007/978-3-319-47066-5_6

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