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dc.contributor.author
Lin, Rui
dc.contributor.author
Molignini, Paolo
dc.contributor.author
Papariello, Luca
dc.contributor.author
Tsatsos, Marios C.
dc.contributor.author
Lévêque, Camille
dc.contributor.author
Weiner, Storm E.
dc.contributor.author
Fasshauer, Elke
dc.contributor.author
Chitra, R.
dc.contributor.author
Lode, Axel U.J.
dc.date.accessioned
2020-05-14T08:45:37Z
dc.date.available
2020-05-14T02:43:29Z
dc.date.available
2020-05-14T08:45:37Z
dc.date.issued
2020-03
dc.identifier.issn
2058-9565
dc.identifier.other
10.1088/2058-9565/ab788b
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/414692
dc.identifier.doi
10.3929/ethz-b-000414692
dc.description.abstract
We introduce and describe the multiconfigurational time-depenent Hartree for indistinguishable particles (MCTDH-X) software, which is hosted, documented, and distributed at http://ultracold.org. This powerful tool allows the investigation of ground state properties and dynamics of interacting quantum many-body systems in different spatial dimensions. The MCTDH-X software is a set of programs and scripts to compute, analyze, and visualize solutions for the time-dependent and time-independent many-body Schrödinger equation for indistinguishable quantum particles. As the MCTDH-X software represents a general solver for the Schrödinger equation, it is applicable to a wide range of problems in the fields of atomic, optical, molecular physics, and condensed matter systems. In particular, it can be used to study light–matter interactions, correlated dynamics of electrons in the solid state as well as some aspects related to quantum information and computing. The MCTDH-X software solves a set of nonlinear coupled working equations based on the application of the time-dependent variational principle to the Schrödinger equation. These equations are obtained by using an ansatz for the many-body wavefunction that is a expansion in a set of time-dependent, fully symmetrized bosonic (X = B) or fully anti-symmetrized fermionic (X = F) many-body basis states. It is the time-dependence of the basis set that enables MCTDH-X to deal with quantum dynamics at a superior accuracy as compared to, for instance, exact diagonalization approaches with a static basis, where the number of basis states necessary to capture the dynamics of the wavefunction typically grows rapidly with time. Herein, we give an introduction to the MCTDH-X software via an easy-to-follow tutorial with a focus on accessibility. The illustrated exemplary problems are hosted at http://ultracold.org/tutorial and consider the physics of a few interacting bosons or fermions in a double-well potential. We explore computationally the position-space and momentum-space density, the one-body reduced density matrix, Glauber correlation functions, phases, (dynamical) phase transitions, and the imaging of the quantum systems in single-shot images. Although a few particles in a double well potential represent a minimal model system, we are able to demonstrate a rich variety of phenomena with it. We use the double well to illustrate the fermionization of bosonic particles, the crystallization of fermionic particles, characteristics of the superfluid and Mott-insulator quantum phases in Hubbard models, and even dynamical phase transitions. We provide a complete set of input files and scripts to redo all computations in this paper at http://ultracold.org/data/tutorial_input_files.zip, accompanied by tutorial videos at https://tinyurl.com/tjx35sq. Our tutorial should guide the potential users to apply the MCTDH-X software also to more complex systems.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Institute of Physics
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
http://ultracold.org
en_US
dc.subject
time-dependent Schrödinger equation
en_US
dc.subject
many-body physics
en_US
dc.subject
quantum physics
en_US
dc.subject
ultracold atoms
en_US
dc.title
MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2020-04-01
ethz.journal.title
Quantum Science and Technology
ethz.journal.volume
5
en_US
ethz.journal.issue
2
en_US
ethz.pages.start
024004
en_US
ethz.size
16 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Bristol
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03571 - Sigrist, Manfred / Sigrist, Manfred
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03571 - Sigrist, Manfred / Sigrist, Manfred
ethz.date.deposited
2020-05-14T02:43:33Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-05-14T08:45:50Z
ethz.rosetta.lastUpdated
2022-03-29T02:05:59Z
ethz.rosetta.versionExported
true
ethz.COinS
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