Laser probing of single-particle energy gap of a Bose gas in an optical lattice in the Mott insulator phase
arXiv:cond-mat/0407229 · doi:10.1103/PhysRevA.73.033621
Abstract
We study single-particle excitations in the Mott insulator phase of a Bose gas in an optical lattice. The characteristic feature of the single-particle spectrum in the Mott insulator phase is the existence of an energy gap between the particle and hole excitations. We show that this energy gap can be directly probed by an output coupling experiment. We apply the general expression for the output current derived by Luxat and Griffin, which is given in terms of the single-particle Green's functions of a trapped Bose gas, to the Mott insulator phase using the Bose-Hubbard model. We find that the energy spectrum of the momentum-resolved output current exhibits two characteristic peaks corresponding to the particle and hole excitations, and thus it can be used to detect the transition point from the Mott insulator to superfluid phase where the energy gap disappears.
21 pages,7 figures
References in corpus (26)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Entanglement of atoms via cold controlled collisions
- Bragg spectroscopy of a Bose-Einstein condensate
- Quantum phases in an optical lattice
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- The Excitation Spectrum of a Bose-Einstein Condensate
- Phases of the one-dimensional Bose-Hubbard model
- Mott Domains of Bosons Confined on Optical Lattices
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Dynamics and Thermodynamics of the Bose-Hubbard model
- Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
- Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
- Ultracold atoms in optical lattices
- Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms
- Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
- Bragg Spectroscopy of ultracold atoms loaded in an optical lattice
- An Atom Laser Based on Raman Transitions
- Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
- Sodium Bose-Einstein Condensates in an Optical Lattice
- Inelastic light scattering from a Mott insulator
- Damping of Bogoliubov Excitations in Optical Lattices
- Adiabatic Output Coupling of a Bose Gas at Finite Temperatures
- Coherent Tunneling of Atoms from Bose-condensed Gases at Finite Temperatures
Cited by in corpus (24)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Spectral weight redistribution in strongly correlated bosons in optical lattices
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Variational Cluster Perturbation Theory for Bose-Hubbard models
- Light scattering by ultracold atoms in an optical lattice
- Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
- Momentum distribution of the insulating phases of the extended Bose-Hubbard model
- Probing condensate order in deep optical lattices
- Fano resonance through Higgs bound states in tunneling of Nambu-Goldstone modes
- Beyond the Hubbard bands in strongly correlated lattice bosons
- Raman Spectroscopy of Mott insulator states in optical lattices
- Many-body physics in the radio frequency spectrum of lattice bosons
- Superfluid to Mott-insulator transition of cold atoms in optical lattices
- Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
- Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices
- Dimerized Mott insulators in hexagonal optical lattices
- Momentum-resolved Raman spectroscopy of non-interacting ultracold Fermi gas
- Two-state Bose-Hubbard model in the hard-core boson limit
- Elementary excitations of antiferromagnetic spin-1 bosons in an optical lattice
- A Quantum Theory of Cold Bosonic Atoms in Optical Lattices
- Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
- Degenerate approach to the mean field Bose- Hubbard Hamiltonian
- Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
- Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model