The Higgs mode in a two-dimensional superfluid

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 ${}^{87}$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.

9 pages, 13 figures; replaced with published version

References in corpus (4)

• Monte Carlo study of two-dimensional Bose-Hubbard model
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Dynamical properties of ultracold bosons in an optical lattice
• The Amplitude Mode in the Quantum Phase Model

Cited by in corpus (14)

• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Nature and Raman signatures of the Higgs amplitude mode in the coexisting superconducting and charge-density-wave state
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point: a nonperturbative renormalization-group approach
• Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
• A long-lived Higgs mode in a two-dimensional confined Fermi gas
• Constraining quantum critical dynamics: 2+1D Ising model and beyond
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• The Emergency of Pico-Kelvin Physics
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study