Manipulating Goldstone modes via the superradiant light in a bosonic lattice gas inside a cavity

Abstract

We study the low-energy excitations of a bosonic lattice gas with cavity-mediated interactions. By performing two successive Hubbard-Stratonovich transformations, we derive an effective field theory to study the strongly-coupling regime. Taking into account the quantum fluctuation, we report the unusual effect of the superradiant cavity light induced density imbalance, which has been shown to have a negligible effect on the single particle excitation in the previous studies. Instead, we show that such negligible fluctuation of density imbalance dramatically changes the behavior of the low-energy excitation and results in a free switching between two types of Goldstone modes in its single particle excitation, i.e., type I and type II with odd and even power energy-momentum dispersion, respectively. Our proposal would open a new horizon for manipulating Goldstone modes from bridging the cavity light and strongly interacting quantum matters.

arXiv comment11 pages, 4 figures, including Supplementary Material

References in corpus (33)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Bragg spectroscopy of a Bose-Einstein condensate
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Amplitude / Higgs Modes in Condensed Matter Physics
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• The Excitation Spectrum of a Bose-Einstein Condensate
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Observation of a superradiant Mott insulator in the Dicke-Hubbard model
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• Phase diagram of the bose Hubbard model
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• Phase Transitions in a Bose-Hubbard Model with Cavity-Mediated Global-Range Interactions
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Quantum Phase Transitions of the Bose-Hubbard Model inside a Cavity
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Goldstone and Higgs modes of photons inside a cavity
• Interacting Hofstadter spectrum of atoms in an artificial gauge field
• Superfluid-Insulator transition of two-species bosons with spin-orbit coupling
• Excitonic Superfluid to pseudo-spin density wave transition in bilayer quantum Hall systems
• Effective action approach to the p-band Mott insulator and superfluid transition
• Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field
• Spontaneous symmetry breaking and Higgs mode: comparing Gross-Pitaevskii and nonlinear Klein-Gordon equations
• Momentum Resolved Optical Lattice Modulation Spectroscopy for Bose Hubbard Model
• Ultracold bosons in a synthetic periodic magnetic field: Mott phases and re-entrant superfluid-insulator transitions
• Gaussian quantum fluctuations in the superfluid-Mott phase transition
• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids