Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures

We show that a linear term coupling the atoms of an ultracold binary mixture provides a simple method to induce an effective and tunable population imbalance between them. This term is easily realized by Rabi coupling between different hyperfine levels of the same atomic species. The resulting effec...

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Main Authors: Luca Lepori, Anna Maraga, Alessio Celi, Luca Dell’Anna, Andrea Trombettoni
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Condensed Matter
Subjects:
Online Access:http://www.mdpi.com/2410-3896/3/2/14
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spelling doaj-909deaa013894209961836b74c9f426f2020-11-25T00:46:25ZengMDPI AGCondensed Matter2410-38962018-04-01321410.3390/condmat3020014condmat3020014Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold MixturesLuca Lepori0Anna Maraga1Alessio Celi2Luca Dell’Anna3Andrea Trombettoni4Dipartimento di Scienze Fisiche e Chimiche, Università dell’Aquila, via Vetoio, I-67010 Coppito-L’Aquila, ItalySISSA, via Bonomea 265, I-34136 Trieste, ItalyInstitute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, A-6020 Innsbruck, AustriaDipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, via Marzolo 8, I-35131 Padova, ItalySISSA, via Bonomea 265, I-34136 Trieste, ItalyWe show that a linear term coupling the atoms of an ultracold binary mixture provides a simple method to induce an effective and tunable population imbalance between them. This term is easily realized by Rabi coupling between different hyperfine levels of the same atomic species. The resulting effective imbalance holds for one-particle states dressed by the Rabi coupling and obtained by diagonalizing the mixing matrix of the Rabi term. This way of controlling the chemical potentials applies to both bosonic and fermionic atoms and it also allows for spatially- and temporally-dependent imbalances. As a first application, we show that, in the case of two attractive fermionic hyperfine levels with equal chemical potentials coupled by the Rabi pulse, the same superfluid properties of an imbalanced binary mixture are recovered. We finally discuss the properties of m-species mixtures in the presence of SU(m)-invariant interactions.http://www.mdpi.com/2410-3896/3/2/14quantum gasesmulticomponent mixturesrf-fieldsRabi couplingimbalanced mixtures
collection DOAJ
language English
format Article
sources DOAJ
author Luca Lepori
Anna Maraga
Alessio Celi
Luca Dell’Anna
Andrea Trombettoni
spellingShingle Luca Lepori
Anna Maraga
Alessio Celi
Luca Dell’Anna
Andrea Trombettoni
Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
Condensed Matter
quantum gases
multicomponent mixtures
rf-fields
Rabi coupling
imbalanced mixtures
author_facet Luca Lepori
Anna Maraga
Alessio Celi
Luca Dell’Anna
Andrea Trombettoni
author_sort Luca Lepori
title Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
title_short Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
title_full Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
title_fullStr Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
title_full_unstemmed Effective Control of Chemical Potentials by Rabi Coupling with RF-Fields in Ultracold Mixtures
title_sort effective control of chemical potentials by rabi coupling with rf-fields in ultracold mixtures
publisher MDPI AG
series Condensed Matter
issn 2410-3896
publishDate 2018-04-01
description We show that a linear term coupling the atoms of an ultracold binary mixture provides a simple method to induce an effective and tunable population imbalance between them. This term is easily realized by Rabi coupling between different hyperfine levels of the same atomic species. The resulting effective imbalance holds for one-particle states dressed by the Rabi coupling and obtained by diagonalizing the mixing matrix of the Rabi term. This way of controlling the chemical potentials applies to both bosonic and fermionic atoms and it also allows for spatially- and temporally-dependent imbalances. As a first application, we show that, in the case of two attractive fermionic hyperfine levels with equal chemical potentials coupled by the Rabi pulse, the same superfluid properties of an imbalanced binary mixture are recovered. We finally discuss the properties of m-species mixtures in the presence of SU(m)-invariant interactions.
topic quantum gases
multicomponent mixtures
rf-fields
Rabi coupling
imbalanced mixtures
url http://www.mdpi.com/2410-3896/3/2/14
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AT alessioceli effectivecontrolofchemicalpotentialsbyrabicouplingwithrffieldsinultracoldmixtures
AT lucadellanna effectivecontrolofchemicalpotentialsbyrabicouplingwithrffieldsinultracoldmixtures
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