Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
arXiv:1707.02708 · doi:10.1103/PhysRevA.96.043606
Abstract
We study effects of a potential barrier on collective modes of superfluid Bose gases in optical lattices. We assume that the barrier is created by local suppression of the hopping amplitude. When the system is in a close vicinity of the Mott transition at commensurate fillings, where an approximate particle-hole symmetry emerges, there exist bound states of Higgs amplitude mode that are localized around the barrier. By applying the Gutzwiller mean-field approximation to the Bose-Hubbard model, we analyze properties of normal modes of the system with a special focus on the Higgs bound states. We show that when the system becomes away from the Mott transition point, the Higgs bound states turn into quasi-bound states due to inevitable breaking of the particle-hole symmetry. We use a stabilization method to compute the resonance energy and line width of the quasi-bound states. We compare the results obtained by the Gutzwiller approach with those by the Ginzburg-Landau theory. We find that the Higgs bound states survive even in a parameter region far from the Mott transition, where the Ginzburg-Landau theory fails.
arXiv comment14 pages, 16 figures
References in corpus (45)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum phases in an optical lattice
- Higgs Amplitude Mode in BCS Superconductors NbTiN induced by Terahertz Pulse Excitation
- Amplitude / Higgs Modes in Condensed Matter Physics
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
- Single particle and collective excitations in the one-dimensional charge density wave solid K0.3MoO3 probed in real time by femtosecond spectroscopy
- Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition
- Oscillating Superfluidity of Bosons in Optical Lattices
- Visibility of the Amplitude (Higgs) Mode in Condensed Matter
- Dynamics and Thermodynamics of the Bose-Hubbard model
- Amplitude `Higgs' mode in 2H-NbSe2 Superconductor
- The Higgs Mode in Disordered Superconductors Close to a Quantum Phase Transition
- Dynamical properties of ultracold bosons in an optical lattice
- Quantum and classical criticality in a dimerized quantum antiferromagnet
- Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
- The Higgs mode in a two-dimensional superfluid
- Density wave and supersolid phases of correlated bosons in an optical lattice
- Polarization-resolved terahertz third-harmonic generation in a superconductor NbN: dominance of Higgs mode beyond the BCS approximation
- Universal relaxational dynamics near two-dimensional quantum-critical points
- Fate of the Higgs mode near quantum criticality
- Superfluid-insulator transition in a moving system of interacting bosons
- Route to supersolidity for the extended Bose-Hubbard model
- Higgs bosons in particle physics and in condensed matter
- Higgs amplitude mode in the vicinity of a -dimensional quantum critical point
- Higgs amplitude mode in the vicinity of a -dimensional quantum critical point: a nonperturbative renormalization-group approach
- Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Incoherent topological defect recombination dynamics in TbTe_3
- Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
- Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
- Laser probing of single-particle energy gap of a Bose gas in an optical lattice in the Mott insulator phase
- Quantum tricriticality at the superfluid-insulator transition of binary Bose mixtures
- Longitudinal magnetic excitation in KCuCl3 studied by Raman scattering under hydrostatic pressures
- Spectral function of the Higgs mode in 4-\varepsilon dimensions
- Dark solitons near the Mott-insulator--superfluid phase transition
- Zeeman splitting and nonlinear field-dependence in superfluid 3He
- The Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems
- Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
- Damping of the Higgs and Nambu-Goldstone modes of superfluid Bose gases at finite temperatures
- Detecting the superfluid critical momentum of Bose gases in optical lattices through dipole oscillations
- Bound collective modes in nonuniform superconductors
- Theoretical Analysis on Spectroscopy of Atomic Bose-Hubbard Systems