Generalized Higgs mechanism in long-range-interacting quantum systems

The physics of long-range-interacting quantum systems is currently living through a renaissance driven by the fast progress in quantum simulators. In these systems many paradigms of statistical physics do not apply and also the universal long-wavelength physics gets substantially modified by the pre...

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Main Authors: Oriana K. Diessel, Sebastian Diehl, Nicolò Defenu, Achim Rosch, Alessio Chiocchetta
Format: Article
Language:English
Published: American Physical Society 2023-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.033038
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author Oriana K. Diessel
Sebastian Diehl
Nicolò Defenu
Achim Rosch
Alessio Chiocchetta
author_facet Oriana K. Diessel
Sebastian Diehl
Nicolò Defenu
Achim Rosch
Alessio Chiocchetta
author_sort Oriana K. Diessel
collection DOAJ
description The physics of long-range-interacting quantum systems is currently living through a renaissance driven by the fast progress in quantum simulators. In these systems many paradigms of statistical physics do not apply and also the universal long-wavelength physics gets substantially modified by the presence of long-ranged forces. Here we explore the low-energy excitations of several long-range-interacting quantum systems, including spin models and interacting Bose gases, in the ordered phase associated with the spontaneous breaking of U(1) and SU(2) symmetries. Instead of the expected Goldstone modes, we find three qualitatively different regimes, depending on the range of the interaction. In one of these regimes the Goldstone modes are gapped, via a generalization of the Higgs mechanism. Moreover, we show how this effect is realized in current experiments with ultracold atomic gases in optical cavities.
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spelling doaj.art-29b5d91aab44433593d80b137a6246382024-04-12T17:32:35ZengAmerican Physical SocietyPhysical Review Research2643-15642023-07-015303303810.1103/PhysRevResearch.5.033038Generalized Higgs mechanism in long-range-interacting quantum systemsOriana K. DiesselSebastian DiehlNicolò DefenuAchim RoschAlessio ChiocchettaThe physics of long-range-interacting quantum systems is currently living through a renaissance driven by the fast progress in quantum simulators. In these systems many paradigms of statistical physics do not apply and also the universal long-wavelength physics gets substantially modified by the presence of long-ranged forces. Here we explore the low-energy excitations of several long-range-interacting quantum systems, including spin models and interacting Bose gases, in the ordered phase associated with the spontaneous breaking of U(1) and SU(2) symmetries. Instead of the expected Goldstone modes, we find three qualitatively different regimes, depending on the range of the interaction. In one of these regimes the Goldstone modes are gapped, via a generalization of the Higgs mechanism. Moreover, we show how this effect is realized in current experiments with ultracold atomic gases in optical cavities.http://doi.org/10.1103/PhysRevResearch.5.033038
spellingShingle Oriana K. Diessel
Sebastian Diehl
Nicolò Defenu
Achim Rosch
Alessio Chiocchetta
Generalized Higgs mechanism in long-range-interacting quantum systems
Physical Review Research
title Generalized Higgs mechanism in long-range-interacting quantum systems
title_full Generalized Higgs mechanism in long-range-interacting quantum systems
title_fullStr Generalized Higgs mechanism in long-range-interacting quantum systems
title_full_unstemmed Generalized Higgs mechanism in long-range-interacting quantum systems
title_short Generalized Higgs mechanism in long-range-interacting quantum systems
title_sort generalized higgs mechanism in long range interacting quantum systems
url http://doi.org/10.1103/PhysRevResearch.5.033038
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