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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MDPI AG
2022-03-01
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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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format | Article |
id | doaj.art-a0d67dae3b2b4fb1ac08d859e077da54 |
institution | Directory Open Access Journal |
issn | 2218-2004 |
language | English |
last_indexed | 2024-03-09T20:06:56Z |
publishDate | 2022-03-01 |
publisher | MDPI AG |
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series | Atoms |
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 |