Generalized Higgs mechanism in long-range-interacting quantum systems

Year: 2023

Authors: Diessel O.K., Diehl S., Defenu N., Rosch A., Chiocchetta A.

Autors Affiliation: Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany; Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany; Univ Cologne, Inst Theoret Phys, Zulpicher Str 77, D-50937 Cologne, Germany; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8049 Zurich, Switzerland.

Abstract: 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.

Journal/Review: PHYSICAL REVIEW RESEARCH

Volume: 5 (3)      Pages from: 33038-1  to: 33038-6

More Information: We warmly acknowledge discussions with J. Keeling, B. Lev, and A. Trombettoni. We are especially thankful to D. Kiese for carefully reading the manuscript and providing helpful comments. We acknowledge support from the European Research Council (ERC) under the Horizon 2020 research and innovation program, Grant Agreement No. 647434 (DOQS) , by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) CRC 1238 Project No. 277146847, CRC 1225 (ISOQUANT) Project No. 273811115, and under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) . O.K.D. acknowledges funding from the International Max Planck Research School for Quantum Science and Technology (IMPRS-QST) .
KeyWords: Goldstone Theorem; Ferromagnets; Mode
DOI: 10.1103/PhysRevResearch.5.033038

Citations: 10
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