Bragg Spectroscopy of ultracold atoms loaded in an optical lattice
arXiv:cond-mat/0406552 · doi:10.1103/PhysRevA.72.023407
Abstract
We study Bragg spectroscopy of ultra-cold atoms in one-dimensional optical lattices as a method for probing the excitation spectrum in the Mott insulator phase, in particular the one particle-hole excitation band. Within the framework of perturbation theory we obtain an analytical expression for the dynamic structure factor and use it to calculate the imparted energy which has shown to be a relevant observable in recent experiments. We test the accuracy of our approximations by comparing them with numerically exact solutions of the Bose-Hubbard model in restricted cases and establish the limits of validity of our linear response analysis. Finally we show that when the system is deep in the Mott insulator regime, its response to the Bragg perturbation is temperature dependent. We suggest that this dependence might be used as a tool to probe temperatures of order of the Mott gap.
arXiv comment4 pages, 3 figures
References in corpus (14)
- 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
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Bragg spectroscopy of a Bose-Einstein condensate
- Excitation of phonons in a Bose-Einstein condensate by light scattering
- A Bose-Einstein condensate in an optical lattice
- Quantum-state control in optical lattices
- Bogoliubov approach to superfluidity of atoms in an optical lattice
- Momentum transferred to a trapped Bose-Einstein condensate by stimulated light scattering
- Theory of coherent Bragg spectroscopy of a trapped Bose-Einstein condensate
- Dynamic structure factor of a Bose Einstein condensate in a 1D optical lattice
- Inelastic light scattering from a Mott insulator
- Scalable register initialization for quantum computing in an optical lattice
Cited by in corpus (62)
- Many-Body Physics with Ultracold Gases
- Tools for quantum simulation with ultracold atoms in optical lattices
- Fractional Quantum Hall Effect in Optical Lattices
- Momentum-Resolved Bragg Spectroscopy in Optical Lattices
- Cooling in strongly correlated optical lattices: prospects and challenges
- Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
- Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
- SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
- The quantum ground state of self-organized atomic crystals in optical resonators
- Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Energy absorption of a Bose gas in a periodically modulated optical lattice
- Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Diffraction-Unlimited Position Measurement of Ultracold Atoms in an Optical Lattice
- Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice
- Measuring correlations of cold atom systems using multiple quantum probes
- Interacting Hofstadter spectrum of atoms in an artificial gauge field
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- (3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices
- Interacting bosons in an optical lattice
- Charge dynamics in half-filled Hubbard chains with finite on-site interaction
- Theory of correlations between ultra-cold bosons released from an optical lattice
- Quasiparticle dynamics in a Bose insulator probed by inter-band Bragg spectroscopy
- Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
- Laser probing of single-particle energy gap of a Bose gas in an optical lattice in the Mott insulator phase
- Bragg spectroscopy of trapped one dimensional strongly interacting bosons in optical lattices: Probing the cake-structure
- Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms
- Bragg spectroscopy of a superfluid Bose-Hubbard gas
- Degenerate Fermi gas in a combined harmonic-lattice potential
- Dynamic response of 1D bosons in a trap
- Visibility of Cold Atomic Gases in Optical Lattices for Finite Temperatures
- Light scattering by ultracold atoms in an optical lattice
- The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice
- Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
- Multi-band spectroscopy of inhomogeneous Mott-insulator states of ultracold bosons
- Fermionization of Bosons in a Flat Band
- Non-equilibrium Enhancement of Cooper Pairing in Cold Fermion Systems
- Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations
- Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
- Dynamic Stimulation of Quantum Coherence in Lattice Bosons
- Beyond the Hubbard bands in strongly correlated lattice bosons
- Emergence of superfluid transport in a dynamical system of ultracold atoms
- Light scattering from ultracold atomic gases in optical lattices at finite temperature
- Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
- Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
- Quantum vortices in optical lattices
- Raman Spectroscopy of Mott insulator states in optical lattices
- Quantum probe spectroscopy for cold atomic systems
- Ultra-large Rydberg dimers in optical lattices
- Unitary work extraction from a Generalized Gibbs Ensemble using Bragg scattering
- Matter-wave scattering from interacting bosons in an optical lattice
- Interacting bosons in an optical lattice: Bose-Einstein condensates and Mott insulator
- Local spectral density of an interacting one-dimensional Bose gas with an impurity
- Light scattering in inhomogeneous Tomonaga-Luttinger liquids
- Controlled quantum stirring of Bose-Einstein condensates
- Microscopic bosonization of band structures: X-ray processes beyond the Fermi edge
- Particle-hole bound states of dipolar molecules in optical lattice
- Bragg spectroscopy of a cigar shaped Bose condensate in optical lattices
- Sensitive linear response of an electron-hole superfluid in a periodic potential
- Scattering distributions in the presence of measurement backaction
- Emergence of Topological Fermi Liquid from a Strongly Correlated Bosonic System in Optical Superlattices