Temperature in One-Dimensional Bosonic Mott insulators

Abstract

The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of elementary excitations. We obtain quantitative results for the kinetics and for the spectral weights of the low-energy excitations for a broad range of parameters in the insulating phase. By these results, recent Bragg spectroscopy experiments are explained. Evidence for a significant temperature of the order of the microscopic energy scales is found.

8 pages, 7 figures

References in corpus (6)

• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Spatial correlations of trapped 1d bosons in an optical lattice
• Superfluid to Mott insulator transition in one, two, and three dimensions
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Systematic Mapping of the Hubbard Model to the Generalized t-J Model
• Dynamic response of trapped ultracold bosons on optical lattices

Cited by in corpus (24)

• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Dynamical properties of ultracold bosons in an optical lattice
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Modulation spectroscopy with ultracold fermions in an optical lattice
• Interacting Bose gases in quasi-one dimensional optical lattices
• Complete bond-operator theory of the two-chain spin ladder
• Temperature changes when adiabatically ramping up an optical lattice
• Energy absorption of a Bose gas in a periodically modulated optical lattice
• Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
• Flow Equations and Normal Ordering. A Survey
• Near-adiabatic parameter changes in correlated systems: Influence of the ramp protocol on the excitation energy
• Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms
• The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice
• Cooling toolbox for atoms in optical lattices
• Beyond the Hubbard bands in strongly correlated lattice bosons
• Enhancement of On-Site Interactions of Tunnelling Ultracold Atoms in Optical Potentials using Radio-Frequency Dressing
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices
• Doublon production rate in modulated optical lattices
• Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices
• Trapped Ultracold Bosons in Periodically Modulated Lattices
• Accessing finite momentum excitations of the one-dimensional Bose-Hubbard model using superlattice modulation spectroscopy
• Cooling ultracold bosons in optical lattices by spectral transform
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime