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High Performance Computing in Science and Engineering ’15 pp 23–49Cite as

MCTDHB Physics and Technologies: Excitations and Vorticity, Single-Shot Detection, Measurement of Fragmentation, and Optimal Control in Correlated Ultra-Cold Bosonic Many-Body Systems

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Abstract

Here we report on further applications, developments, expansion, and proliferation of the Multi-Configurational Time-Dependent Hartree for Bosons (MCTDHB) method in the context of ultra-cold atomic systems. In this year we put our main efforts to understanding and generalizing vortices—two-dimensional (2D) and three-dimensional (3D) quantum objects carrying angular momentum—from the perspective of the many-body physics. We have studied static properties and quantum dynamics of vortices confined in simple parabolic traps and in circular traps. Particular emphasis has been put on the loss of coherence and build-up of the fragmentation. Complimentary, we continue to develop the MCTDHB method spanning several directions of the theoretical and computational physics as well as optimal-control theory: (a) the linear-response on-top of the MCTDHB method (LR-MCTDHB) has been reformulated in a compact block form, expanded for general inter-particle interactions, and benchmarked against the exactly-solvable harmonic-interaction model; (b) a new analysis tool capable of simulating the outcomes of typical shots generated in the experimental detection of ultra-cold atomic systems has been invented, tested, and applied; (c) a novel algorithm offering a direct quantitative measurement of the possible fragmentation in bosonic systems has been proposed and applied; (d) the optimal-control Chopped RAndom Basis (CRAB) algorithm has been merged with the MCTDHB package and applied to manipulate quantum systems. Implications and further perspectives and future research plans are briefly discussed and addressed.

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Acknowledgements

Financial support by the DFG is gratefully acknowledged. OEA acknowledges funding by the Israel Science Foundation (grant No. 600/15). SEW and TW acknowledge financial support by the DAAD-RISE program, AUJL acknowledges funding by the Swiss SNF and the NCCR Quantum Science and Technology, MCT acknowledges funding by FAPESP. AUJL, SEW, and TW acknowledge the hospitality of Vanderlei Bagnato and the CEPOF-USP. TC and SM acknowledge support from the European Commission through the grants QIBEC (No. 284584) and SIQS, and from the DFG through SFB TR21.

Author information

Authors and Affiliations

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

    Ofir E. Alon

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

    Vanderlei S. Bagnato & Marios C. Tsatsos

  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. Center for Integrated Quantum Science and Technology, Institute for Complex Quantum Systems, Universität Ulm, 89069, Ulm, Germany

    Ioannis Brouzos

  5. Institute for Complex Quantum Systems, Universität Ulm, 89069, Ulm, Germany

    Tommaso Calarco, Simone Montangero & Ressa S. Said

  6. ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860, Castelldefels, Barcelona, Spain

    Tommaso Caneva

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

    Mark A. Kasevich & Kaspar Sakmann

  8. Condensed Matter Theory and Quantum Computing Group, Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland

    Axel U. J. Lode

  9. Zentrum für Optische Quantentechnologien and The Hamburg Centre for Ultrafast Imaging, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    Antonio Negretti

  10. Laboratory of Information Technologies, Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna, Russia

    Oksana I. Streltsova

  11. Department of Chemistry, University of California, Berkeley, CA, 94720-1462, USA

    Storm E. Weiner

  12. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, UK

    Tomos Wells

Authors
  1. Ofir E. Alon
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  2. Vanderlei S. Bagnato
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  3. Raphael Beinke
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  4. Ioannis Brouzos
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  5. Tommaso Calarco
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  6. Tommaso Caneva
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  7. Lorenz S. Cederbaum
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  8. Mark A. Kasevich
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  9. Shachar Klaiman
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  10. Axel U. J. Lode
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  11. Simone Montangero
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  12. Antonio Negretti
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  13. Ressa S. Said
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  14. Kaspar Sakmann
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  15. Oksana I. Streltsova
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  16. Marcus Theisen
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  17. Marios C. Tsatsos
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  18. Storm E. Weiner
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  19. Tomos Wells
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  20. Alexej I. Streltsov
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Editor information

Editors and Affiliations

  1. Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

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

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum, Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

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Alon, O.E. et al. (2016). MCTDHB Physics and Technologies: Excitations and Vorticity, Single-Shot Detection, Measurement of Fragmentation, and Optimal Control in Correlated Ultra-Cold Bosonic Many-Body Systems. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ’15. Springer, Cham. https://doi.org/10.1007/978-3-319-24633-8_3

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