Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems

Abstract

We present spectral functions for the magnitude squared of the order parameter in the scaling limit of the two-dimensional superfluid to Mott insulator quantum phase transition at constant density, which has emergent particle-hole symmetry and Lorentz invariance. The universal functions for the superfluid, Mott insulator, and normal liquid phases reveal a low-frequency resonance which is relatively sharp and is followed by a damped oscillation (in the first two phases only) before saturating to the quantum critical plateau. The counterintuitive resonance feature in the insulating and normal phases calls for deeper understanding of collective modes in the strongly coupled (2+1)-dimensional relativistic field theory. Our results are derived from analytically continued correlation functions obtained from path-integral Monte Carlo simulations of the Bose-Hubbard model.

5 pages, 6 figures

References in corpus (8)

• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• The critical exponents of the superfluid transition in He4
• Dynamical properties of ultracold bosons in an optical lattice
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• The Higgs mode in a two-dimensional superfluid
• The Amplitude Mode in the Quantum Phase Model

Cited by in corpus (13)

• 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
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Following the Higgs mode across the BCS-BEC crossover in two dimensions
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Collective modes at a disordered quantum phase transition
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Dual dynamic scaling in deconfined quantum criticality
• Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
• Amplitude mode at the superfluid-insulator transition on a random lattice
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Criticality of the excess energy cost due to the unit-flux-quantum external field for the $(2+1)$D superfluid-insulator transition