Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

The two- and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which is the subject of this work. In this work, we focus on the...

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Bibliographic Details
Main Author: Victor E. Colussi
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Atoms
Subjects:
efimov effect
strongly correlated systems
ultracold gases
non-perturbative methods
Tan contact
Online Access:https://www.mdpi.com/2218-2004/7/1/19
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spelling doaj-6df4955e42044016bcfe2eaf04bc89592020-11-25T01:01:02ZengMDPI AGAtoms2218-20042019-02-01711910.3390/atoms7010019atoms7010019Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting FormsVictor E. Colussi0Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The NetherlandsThe two- and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which is the subject of this work. In this work, we focus on the unitary three-body problem in a trap, where interactions are as strong as allowed by quantum mechanics. We derive analytic results for the two- and three-body contacts in this regime and compare them with existing limiting expressions and previous numerical studies.https://www.mdpi.com/2218-2004/7/1/19efimov effectstrongly correlated systemsultracold gasesnon-perturbative methodsTan contact
collection DOAJ
language English
format Article
sources DOAJ
author Victor E. Colussi
spellingShingle Victor E. Colussi
Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
Atoms
efimov effect
strongly correlated systems
ultracold gases
non-perturbative methods
Tan contact
author_facet Victor E. Colussi
author_sort Victor E. Colussi
title Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
title_short Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
title_full Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
title_fullStr Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
title_full_unstemmed Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms
title_sort two-body and three-body contacts for three bosons in the unitary regime: analytic expressions and limiting forms
publisher MDPI AG
series Atoms
issn 2218-2004
publishDate 2019-02-01
description The two- and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which is the subject of this work. In this work, we focus on the unitary three-body problem in a trap, where interactions are as strong as allowed by quantum mechanics. We derive analytic results for the two- and three-body contacts in this regime and compare them with existing limiting expressions and previous numerical studies.
topic efimov effect
strongly correlated systems
ultracold gases
non-perturbative methods
Tan contact
url https://www.mdpi.com/2218-2004/7/1/19
work_keys_str_mv AT victorecolussi twobodyandthreebodycontactsforthreebosonsintheunitaryregimeanalyticexpressionsandlimitingforms
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