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

Ofir E. Alon, Raphael Beinke, Christoph Bruder, Lorenz S. Cederbaum, Shachar Klaiman, Axel U. J. Lode (), Kaspar Sakmann, Marcus Theisen, Marios C. Tsatsos, Storm E. Weiner and Alexej I. Streltsov ()
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Ofir E. Alon: University of Haifa, Department of Mathematics
Raphael Beinke: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Christoph Bruder: University of Basel, Department of Physics
Lorenz S. Cederbaum: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Shachar Klaiman: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Axel U. J. Lode: University of Basel, Department of Physics
Kaspar Sakmann: Atominstitut TU Wien, Vienna Center for Quantum Science and Technology
Marcus Theisen: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut
Marios C. Tsatsos: Universidade de São Paulo, Instituto de Física de São Carlos
Storm E. Weiner: University of California, Department of Physics
Alexej I. Streltsov: Universität Heidelberg, Theoretische Chemie, Physikalisch-Chemisches Institut

A chapter in High Performance Computing in Science and Engineering ' 17, 2018, pp 93-115 from Springer

Abstract: 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.

Keywords: Many-body Excitations; Trapped BECs; Multiconfiguration Time-dependent Hartree; Bose-Einstein Condensation (BECs); Uncertainty Product (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-68394-2_6

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