Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
arXiv:1709.06575 · doi:10.1103/PhysRevLett.120.073201
Abstract
We study the low-energy excitations of the Bose-Hubbard model in the strongly-interacting superfluid phase using a Gutzwiller approach and extract the single-particle and single-hole excitation amplitudes for each mode. We report emergent mode-dependent particle-hole symmetry on specific arc-shaped lines in the phase diagram connecting the well-known Lorentz-invariant limits of the Bose-Hubbard model. By tracking the in-phase particle-hole symmetric oscillations of the order parameter, we provide an answer to the long-standing question about the fate of the pure amplitude Higgs mode away from the integer-density critical point. Furthermore, we point out that out-of-phase oscillations are responsible for a full suppression of the condensate density oscillations of the gapless Goldstone mode. Possible detection protocols are also discussed.
6 pages, 3 figures
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Quantum fluids of light
- Using photoemission spectroscopy to probe a strongly interacting Fermi gas
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Amplitude / Higgs Modes in Condensed Matter Physics
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
- Dynamical properties of ultracold bosons in an optical lattice
- Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
- Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
- Boson Mott insulators at finite temperatures
- The Higgs mode in a two-dimensional superfluid
- Spectral weight redistribution in strongly correlated bosons in optical lattices
- The Amplitude Mode in the Quantum Phase Model
- Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
- Quantum rotor description of the Mott-insulator transition in the Bose-Hubbard model
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- Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
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- Impurity dephasing in a Bose-Hubbard model
- Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
- Lattice Bose polarons at strong coupling and quantum criticality
- Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
- Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
- Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
- Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model