Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate

We investigate the properties of a dilute gas of impurities embedded in an ultracold gas of bosons that forms a Bose–Einstein condensate (BEC). This work focuses mainly on the equation of state (EoS) of the impurity gas at zero temperature and the induced interaction between impurities mediated by t...

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Main Author: Luis A. Peña Ardila
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Atoms
Subjects:
Online Access:https://www.mdpi.com/2218-2004/10/1/29
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author Luis A. Peña Ardila
author_facet Luis A. Peña Ardila
author_sort Luis A. Peña Ardila
collection DOAJ
description We investigate the properties of a dilute gas of impurities embedded in an ultracold gas of bosons that forms a Bose–Einstein condensate (BEC). This work focuses mainly on the equation of state (EoS) of the impurity gas at zero temperature and the induced interaction between impurities mediated by the host bath. We use perturbative field-theory approaches, such as Hugenholtz–Pines formalism, in the weakly interacting regime. In turn, for strong interactions, we aim at non-perturbative techniques such as quantum–Monte Carlo (QMC) methods. Our findings agree with experimental observations for an ultra dilute gas of impurities, modeled in the framework of the single impurity problem; however, as the density of impurities increases, systematic deviations are displayed with respect to the one-body Bose polaron problem.
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spelling doaj.art-a0d67dae3b2b4fb1ac08d859e077da542023-11-24T00:28:20ZengMDPI AGAtoms2218-20042022-03-011012910.3390/atoms10010029Ultra-Dilute Gas of Polarons in a Bose–Einstein CondensateLuis A. Peña Ardila0Institut für Theoretische Physik, Leibniz Universität, 30167 Hannover, GermanyWe investigate the properties of a dilute gas of impurities embedded in an ultracold gas of bosons that forms a Bose–Einstein condensate (BEC). This work focuses mainly on the equation of state (EoS) of the impurity gas at zero temperature and the induced interaction between impurities mediated by the host bath. We use perturbative field-theory approaches, such as Hugenholtz–Pines formalism, in the weakly interacting regime. In turn, for strong interactions, we aim at non-perturbative techniques such as quantum–Monte Carlo (QMC) methods. Our findings agree with experimental observations for an ultra dilute gas of impurities, modeled in the framework of the single impurity problem; however, as the density of impurities increases, systematic deviations are displayed with respect to the one-body Bose polaron problem.https://www.mdpi.com/2218-2004/10/1/29polaron–polaron interactioninduced interactiongas of impuritiesquantum–Monte Carlo
spellingShingle Luis A. Peña Ardila
Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
Atoms
polaron–polaron interaction
induced interaction
gas of impurities
quantum–Monte Carlo
title Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
title_full Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
title_fullStr Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
title_full_unstemmed Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
title_short Ultra-Dilute Gas of Polarons in a Bose–Einstein Condensate
title_sort ultra dilute gas of polarons in a bose einstein condensate
topic polaron–polaron interaction
induced interaction
gas of impurities
quantum–Monte Carlo
url https://www.mdpi.com/2218-2004/10/1/29
work_keys_str_mv AT luisapenaardila ultradilutegasofpolaronsinaboseeinsteincondensate