Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group

We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero a...

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Main Authors: Felipe Isaule, Ivan Morera
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/7/1/9
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author Felipe Isaule
Ivan Morera
author_facet Felipe Isaule
Ivan Morera
author_sort Felipe Isaule
collection DOAJ
description We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero and finite temperatures and find a good agreement with related works. We also study ground-state energies of repulsive Bose polarons by examining mixtures in the limit of infinite population imbalance. Finally, we discuss future applications of the FRG to novel problems in Bose–Bose mixtures and related systems.
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spelling doaj.art-5de785fd5ed34121a02add9d1ec9d6072023-11-24T00:50:27ZengMDPI AGCondensed Matter2410-38962022-01-0171910.3390/condmat7010009Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation GroupFelipe Isaule0Ivan Morera1School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UKDepartament de Física Quàntica i Astrofísica, Facultat de Física, and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, E-08028 Barcelona, SpainWe provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero and finite temperatures and find a good agreement with related works. We also study ground-state energies of repulsive Bose polarons by examining mixtures in the limit of infinite population imbalance. Finally, we discuss future applications of the FRG to novel problems in Bose–Bose mixtures and related systems.https://www.mdpi.com/2410-3896/7/1/9quantum gasesBose–Bose mixturesbose polaronsrenormalisation group
spellingShingle Felipe Isaule
Ivan Morera
Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
Condensed Matter
quantum gases
Bose–Bose mixtures
bose polarons
renormalisation group
title Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
title_full Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
title_fullStr Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
title_full_unstemmed Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
title_short Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group
title_sort weakly interacting bose bose mixtures from the functional renormalisation group
topic quantum gases
Bose–Bose mixtures
bose polarons
renormalisation group
url https://www.mdpi.com/2410-3896/7/1/9
work_keys_str_mv AT felipeisaule weaklyinteractingbosebosemixturesfromthefunctionalrenormalisationgroup
AT ivanmorera weaklyinteractingbosebosemixturesfromthefunctionalrenormalisationgroup