The Fate of the Higgs Mode in a Trapped Dipolar Supersolid

We theoretically investigate the spectrum of elementary excitations of a trapped dipolar quantum gas across the BEC-supersolid phase transition. Our calculations reveal the existence of distinct Higgs and Nambu-Goldstone modes that emerge from the softening roton modes of the dipolar BEC at the phas...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Hertkorn, Jens, Böttcher, Fabian, Guo, Mingyang, Schmidt, Jan-Niklas, Langen, Tim, Büchler, Hans Peter, Pfau, Tilman
Format: Article
Language:English
Subjects:
Elementary excitations
Excitation spectra
Helium
Phase transitions
Transition points
Online Access:Get full text
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Summary:We theoretically investigate the spectrum of elementary excitations of a trapped dipolar quantum gas across the BEC-supersolid phase transition. Our calculations reveal the existence of distinct Higgs and Nambu-Goldstone modes that emerge from the softening roton modes of the dipolar BEC at the phase transition point. On the supersolid side of the transition, the energy of the Higgs mode increases rapidly, leading to a strong coupling to higher-lying modes. Our study highlights how the symmetry-breaking nature of the supersolid state translates to finite-size systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.09315