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Higgs Mode in a Two-Dimensional Superfluid

2012/04/30 by Lode Pollet, L. Pollet, Nikolay Prokof’ev +1
Physics and Astronomy · #Amplitude #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Higgs boson #Lorentz covariance #Lorentz transformation #Monte Carlo method #Mott insulator #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Superfluidity #Ultracold atom #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevlett.109.010401

published as Phys. Rev. Lett. 109, 010401 (2012) · 9 pages, 13 figures; replaced with published version

openalex publication_date 2012/07/06 · arxiv created 2012/08/09 · arxiv updated 2012/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present solid evidence for the existence of a well-defined Higgs amplitude mode in two-dimensional relativistic field theories based on analytically continued results from quantum Monte Carlo simulations of the Bose-Hubbard model in the vicinity of the superfluid-Mott insulator quantum critical point, featuring emergent particle-hole symmetry and Lorentz invariance. The Higgs boson, seen as a well-defined low-frequency resonance in the spectral density, is quickly pushed to high energies in the superfluid phase and disappears by merging with the broad secondary peak at the characteristic interaction scale. Simulations of a trapped system of ultracold (87)Rb atoms demonstrate that the low-frequency resonance is lost for typical experimental parameters, while the characteristic frequency for the onset of a strong response is preserved.

Citations