Cargando…

Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories

Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational tool to simulate quantum systems consisting of many particles,...

Descripción completa

Detalles Bibliográficos
Autores principales: Elsayed, Tarek A., Mølmer, Klaus, Madsen, Lars Bojer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6107506/
https://www.ncbi.nlm.nih.gov/pubmed/30140026
http://dx.doi.org/10.1038/s41598-018-30730-0
_version_ 1783349975719084032
author Elsayed, Tarek A.
Mølmer, Klaus
Madsen, Lars Bojer
author_facet Elsayed, Tarek A.
Mølmer, Klaus
Madsen, Lars Bojer
author_sort Elsayed, Tarek A.
collection PubMed
description Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational tool to simulate quantum systems consisting of many particles, a very demanding computational task. In this paper, we present a novel ab-initio approach to solve the many-body problem for bosonic systems by evolving a system of one-particle wavefunctions representing pilot waves that guide the Bohmian trajectories of the quantum particles. In this approach, quantum entanglement effects arise due to the interactions between different configurations of Bohmian particles evolving simultaneously. The method is used to study the breathing dynamics and ground state properties in a system of interacting bosons.
format Online
Article
Text
id pubmed-6107506
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-61075062018-08-28 Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories Elsayed, Tarek A. Mølmer, Klaus Madsen, Lars Bojer Sci Rep Article Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational tool to simulate quantum systems consisting of many particles, a very demanding computational task. In this paper, we present a novel ab-initio approach to solve the many-body problem for bosonic systems by evolving a system of one-particle wavefunctions representing pilot waves that guide the Bohmian trajectories of the quantum particles. In this approach, quantum entanglement effects arise due to the interactions between different configurations of Bohmian particles evolving simultaneously. The method is used to study the breathing dynamics and ground state properties in a system of interacting bosons. Nature Publishing Group UK 2018-08-23 /pmc/articles/PMC6107506/ /pubmed/30140026 http://dx.doi.org/10.1038/s41598-018-30730-0 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Elsayed, Tarek A.
Mølmer, Klaus
Madsen, Lars Bojer
Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title_full Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title_fullStr Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title_full_unstemmed Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title_short Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
title_sort entangled quantum dynamics of many-body systems using bohmian trajectories
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6107506/
https://www.ncbi.nlm.nih.gov/pubmed/30140026
http://dx.doi.org/10.1038/s41598-018-30730-0
work_keys_str_mv AT elsayedtareka entangledquantumdynamicsofmanybodysystemsusingbohmiantrajectories
AT mølmerklaus entangledquantumdynamicsofmanybodysystemsusingbohmiantrajectories
AT madsenlarsbojer entangledquantumdynamicsofmanybodysystemsusingbohmiantrajectories