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 (14)

• Transition from a strongly interacting 1D superfluid to a Mott insulator
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Visibility of the Amplitude (Higgs) Mode in Condensed Matter
• Dynamical properties of ultracold bosons in an optical lattice
• Universal relaxational dynamics near two-dimensional quantum-critical points
• Anomalous fluctuations in phases with a broken continuous symmetry
• Phase Diagram of Commensurate Two-Dimensional Disordered Bose Hubbard Model
• Modulation spectroscopy with ultracold fermions in an optical lattice
• The Amplitude Mode in the Quantum Phase Model
• Engineering Local optimality in Quantum Monte Carlo algorithms

Cited by in corpus (80)

• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• Ultracold bosons with short-range interaction in regular optical lattices
• Fate of the Higgs mode near quantum criticality
• 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
• Non-relativistic dynamics of the amplitude (Higgs) mode in superconductors
• Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet Ca${}_2$RuO${}_4$
• The Fate of the Higgs Mode in a Trapped Dipolar Supersolid
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• Entanglement entropy across the superfluid-insulator transition : a signature of bosonic criticality
• Dynamical structure factors and excitation modes of the bilayer Heisenberg model
• Dynamics and Conductivity Near Quantum Criticality
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point
• Single-site- and single-atom-resolved measurement of correlation functions
• 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
• Parametric excitation of an optically silent Goldstone-like phonon mode
• The amplitude mode in three-dimensional dimerized antiferromagnets
• Rapid ramps across the BEC-BCS crossover: a novel route to measuring the superfluid gap
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
• Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
• Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps
• A long-lived Higgs mode in a two-dimensional confined Fermi gas
• Composite Boson Mapping for Lattice Boson Systems
• Constraining quantum critical dynamics: 2+1D Ising model and beyond
• Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
• Manifestion of structural Higgs and Goldstone modes in the hexagonal manganites
• Evolution of Higgs mode in a Fermion Superfluid with Tunable Interactions
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• The Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems
• Collective excitations of a trapped Fermi gas at finite temperature
• The Higgs mode in a superfluid of Dirac fermions
• Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Ground state phase diagram of the 2d Bose-Hubbard model with anisotropic hopping
• Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
• Analogue Quantum Simulation: A New Instrument for Scientific Understanding
• Following the Higgs mode across the BCS-BEC crossover in two dimensions
• Quantum XY criticality in a two-dimensional Bose gas near the Mott transition
• Damping of the Higgs and Nambu-Goldstone modes of superfluid Bose gases at finite temperatures
• The Emergency of Pico-Kelvin Physics
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Observability of Higgs Mode in a system without Lorentz invariance
• Interpolating relativistic and non-relativistic Nambu-Goldstone and Higgs modes
• Collective mode contributions to the Meissner effect: Fulde-Ferrell and pair-density wave superfluids
• Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Electromagnetic response of superconductors in the presence of multiple collective modes
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Critical behavior of the Higgs- and Goldstone-mass gaps for the two-dimensional S=1 XY model
• The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking
• Dual dynamic scaling in deconfined quantum criticality
• Stable Higgs mode in anisotropic quantum magnets
• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• The halon: a quasiparticle featuring critical charge fractionalization
• Bound collective modes in nonuniform superconductors
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator
• The 'Higgs' amplitude mode in weak ferromagnetic metals
• Response of the Higgs amplitude mode of superfluid Bose gases in a three dimensional optical lattice
• Vortex and soliton dynamics in particle-hole symmetric superfluids
• Higgs and Nambu-Goldstone modes in condensed matter physics
• Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
• Dynamic Phase Diagram for the Quantum Phase Model
• Higgs-like Excitations of Cold Atom System with Spin-orbit Coupling
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• Quantum Quenches of an SO(5) Pseudospin Reveal Higgs Bosons
• Sampling and the complexity of nature
• Higgs and Nambu-Goldstone modes in a spin-1 $XY$ model with long-range interactions
• Exotic superfluid of trapped Fermi gases with spin-orbit coupling in dimensional crossover
• Higgs mode in $2+1$ dimensional $O(2)$ model