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

Ofir E. Alon, Vanderlei S. Bagnato, Raphael Beinke, Ioannis Brouzos, Tommaso Calarco, Tommaso Caneva, Lorenz S. Cederbaum, Mark A. Kasevich, Shachar Klaiman, Axel U. J. Lode, Simone Montangero, Antonio Negretti, Ressa S. Said, Kaspar Sakmann, Oksana I. Streltsova, Marcus Theisen, Marios C. Tsatsos, Storm E. Weiner, Tomos Wells and Alexej I. Streltsov
Additional contact information
Ofir E. Alon: University of Haifa at Oranim, Department of Physics
Vanderlei S. Bagnato: University of São Paulo, São Carlos Institute of Physics
Raphael Beinke: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Ioannis Brouzos: Universität Ulm, Center for Integrated Quantum Science and Technology, Institute for Complex Quantum Systems
Tommaso Calarco: Universität Ulm, Institute for Complex Quantum Systems
Tommaso Caneva: Mediterranean Technology Park, ICFO-Institut de Ciencies Fotoniques
Lorenz S. Cederbaum: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Mark A. Kasevich: Stanford University, Department of Physics
Shachar Klaiman: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Axel U. J. Lode: University of Basel, Condensed Matter Theory and Quantum Computing Group, Department of Physics
Simone Montangero: Universität Ulm, Institute for Complex Quantum Systems
Antonio Negretti: Universität Hamburg, Zentrum für Optische Quantentechnologien and The Hamburg Centre for Ultrafast Imaging
Ressa S. Said: Universität Ulm, Institute for Complex Quantum Systems
Kaspar Sakmann: Stanford University, Department of Physics
Oksana I. Streltsova: Joint Institute for Nuclear Research, Laboratory of Information Technologies
Marcus Theisen: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Marios C. Tsatsos: University of São Paulo, São Carlos Institute of Physics
Storm E. Weiner: University of California, Department of Chemistry
Tomos Wells: University of Cambridge, Department of Applied Mathematics and Theoretical Physics
Alexej I. Streltsov: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut

A chapter in High Performance Computing in Science and Engineering ’15, 2016, pp 23-49 from Springer

Abstract: 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.

Keywords: Single Shot; Quantum Dynamic; Quantum Speed Limit; Vortex Reconnection; Full Counting Statistic (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-24633-8_3

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