Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

Abstract We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed a...

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Autores principales:	Przemysław Kościk, Arkadiusz Kuroś, Adam Pieprzycki, Tomasz Sowiński
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c70326973fe44b158d8e1c8b2f5fce70
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spelling	oai:doaj.org-article:c70326973fe44b158d8e1c8b2f5fce702021-12-02T17:12:25ZPair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential10.1038/s41598-021-92556-72045-2322https://doaj.org/article/c70326973fe44b158d8e1c8b2f5fce702021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-92556-7https://doaj.org/toc/2045-2322Abstract We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.Przemysław KościkArkadiusz KurośAdam PieprzyckiTomasz SowińskiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Przemysław Kościk Arkadiusz Kuroś Adam Pieprzycki Tomasz Sowiński Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
description	Abstract We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.
format	article
author	Przemysław Kościk Arkadiusz Kuroś Adam Pieprzycki Tomasz Sowiński
author_facet	Przemysław Kościk Arkadiusz Kuroś Adam Pieprzycki Tomasz Sowiński
author_sort	Przemysław Kościk
title	Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
title_short	Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
title_full	Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
title_fullStr	Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
title_full_unstemmed	Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
title_sort	pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/c70326973fe44b158d8e1c8b2f5fce70
work_keys_str_mv	AT przemysławkoscik paircorrelationansatzforthegroundstateofinteractingbosonsinanarbitraryonedimensionalpotential AT arkadiuszkuros paircorrelationansatzforthegroundstateofinteractingbosonsinanarbitraryonedimensionalpotential AT adampieprzycki paircorrelationansatzforthegroundstateofinteractingbosonsinanarbitraryonedimensionalpotential AT tomaszsowinski paircorrelationansatzforthegroundstateofinteractingbosonsinanarbitraryonedimensionalpotential
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Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

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