English

The Higgs mode in a two-dimensional superfluid

Quantum Gases 2012-08-10 v3 Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory

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 ultra-cold 87^{87}Rb atoms demonstrate that the low-frequency resonance feature is lost for typical experimental parameters, while the characteristic frequency for the onset of strong response is preserved.

Keywords

Cite

@article{arxiv.1204.5190,
  title  = {The Higgs mode in a two-dimensional superfluid},
  author = {L. Pollet and N. V. Prokof'ev},
  journal= {arXiv preprint arXiv:1204.5190},
  year   = {2012}
}

Comments

9 pages, 13 figures; replaced with published version

R2 v1 2026-06-21T20:53:42.646Z