Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package

Axel U.J. Lode; Kaspar Sakmann; Rostislav A. Doganov; Julian Grond; Ofir E. Alon; Alexej I. Streltsov; Lorenz S. Cederbaum

doi:10.1007/978-3-319-02165-2_7

Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package

Axel U.J. Lode, Kaspar Sakmann, Rostislav A. Doganov, Julian Grond, Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The quantum many-body dynamics of indistinguishable, interacting particles are described by the time-dependent many-body Schrödinger equation (TDSE). The TDSE constitutes a difficult problem and is not solvable analytically in most cases. The present review article expedites and benchmarks the capabilities of a novel theoretical method, themulticonfigurational time-dependent Hartreemethod for bosons (MCTDHB) that is designed for solving the TDSE of interacting bosonic particles. The MCTDHB package is a software implementation that solves the equations of motion of MCTDHB numerically. It is assessed with a benchmark versus an analytically treatable model of trapped interacting bosons (a closed system) that the MCTDHB is capable of solving the TDSE for bosons numerically exactly, i.e., to any desired numerical precision. Furthermore, the structure and parallelization of the MCTDHB package as well as an application to the tunneling to open space dynamics [Proc. Natl. Acad. Sci. USA, 109, 13521 (2012)] are discussed.

Original language	English
Title of host publication	High Performance Computing in Science and Engineering '13
Subtitle of host publication	Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013
Publisher	Springer International Publishing
Pages	81-92
Number of pages	12
ISBN (Electronic)	9783319021652
ISBN (Print)	9783319021645
DOIs	https://doi.org/10.1007/978-3-319-02165-2_7
State	Published - 1 Jan 2013

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2013

ASJC Scopus subject areas

General Computer Science
General Mathematics

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10.1007/978-3-319-02165-2_7

Cite this

Lode, A. U. J., Sakmann, K., Doganov, R. A., Grond, J., Alon, O. E., Streltsov, A. I., & Cederbaum, L. S. (2013). Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package. In High Performance Computing in Science and Engineering '13: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013 (pp. 81-92). Springer International Publishing. https://doi.org/10.1007/978-3-319-02165-2_7

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abstract = "The quantum many-body dynamics of indistinguishable, interacting particles are described by the time-dependent many-body Schr{\"o}dinger equation (TDSE). The TDSE constitutes a difficult problem and is not solvable analytically in most cases. The present review article expedites and benchmarks the capabilities of a novel theoretical method, themulticonfigurational time-dependent Hartreemethod for bosons (MCTDHB) that is designed for solving the TDSE of interacting bosonic particles. The MCTDHB package is a software implementation that solves the equations of motion of MCTDHB numerically. It is assessed with a benchmark versus an analytically treatable model of trapped interacting bosons (a closed system) that the MCTDHB is capable of solving the TDSE for bosons numerically exactly, i.e., to any desired numerical precision. Furthermore, the structure and parallelization of the MCTDHB package as well as an application to the tunneling to open space dynamics [Proc. Natl. Acad. Sci. USA, 109, 13521 (2012)] are discussed.",

author = "Lode, {Axel U.J.} and Kaspar Sakmann and Doganov, {Rostislav A.} and Julian Grond and Alon, {Ofir E.} and Streltsov, {Alexej I.} and Cederbaum, {Lorenz S.}",

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Lode, AUJ, Sakmann, K, Doganov, RA, Grond, J, Alon, OE, Streltsov, AI & Cederbaum, LS 2013, Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package. in High Performance Computing in Science and Engineering '13: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013. Springer International Publishing, pp. 81-92. https://doi.org/10.1007/978-3-319-02165-2_7

Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package. / Lode, Axel U.J.; Sakmann, Kaspar; Doganov, Rostislav A. et al.
High Performance Computing in Science and Engineering '13: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013. Springer International Publishing, 2013. p. 81-92.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Grond, Julian

AU - Alon, Ofir E.

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AU - Cederbaum, Lorenz S.

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AB - The quantum many-body dynamics of indistinguishable, interacting particles are described by the time-dependent many-body Schrödinger equation (TDSE). The TDSE constitutes a difficult problem and is not solvable analytically in most cases. The present review article expedites and benchmarks the capabilities of a novel theoretical method, themulticonfigurational time-dependent Hartreemethod for bosons (MCTDHB) that is designed for solving the TDSE of interacting bosonic particles. The MCTDHB package is a software implementation that solves the equations of motion of MCTDHB numerically. It is assessed with a benchmark versus an analytically treatable model of trapped interacting bosons (a closed system) that the MCTDHB is capable of solving the TDSE for bosons numerically exactly, i.e., to any desired numerical precision. Furthermore, the structure and parallelization of the MCTDHB package as well as an application to the tunneling to open space dynamics [Proc. Natl. Acad. Sci. USA, 109, 13521 (2012)] are discussed.

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Lode AUJ, Sakmann K, Doganov RA, Grond J, Alon OE, Streltsov AI et al. Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package. In High Performance Computing in Science and Engineering '13: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013. Springer International Publishing. 2013. p. 81-92 doi: 10.1007/978-3-319-02165-2_7

Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package

Abstract

Bibliographical note

ASJC Scopus subject areas

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