Effects of finite temperature on the Mott insulator state

Abstract

We investigate the effects of finite temperature on ultracold Bose atoms confined in an optical lattice plus a parabolic potential in the Mott insulator state. In particular, we analyze the temperature dependence of the density distribution of atomic pairs in the lattice, by means of exact Monte-Carlo simulations. We introduce a simple model that quantitatively accounts for the computed pair density distributions at low enough temperatures. We suggest that the temperature dependence of the atomic pair statistics may be used to estimate the system's temperature at energies of the order of the atoms' interaction energy.

arXiv comment6 pages, 5 figures; Final version, published in PRA

References in corpus (19)

• 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
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Phase coherence of an atomic Mott insulator
• Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
• Defect-Suppressed Atomic Crystals in an Optical Lattice
• Ultracold atoms confined in an optical lattice plus parabolic potential: a closed-form approach
• Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Radio Frequency Selective Addressing of Localized Particles in a Periodic Potential
• Efficient and robust initialization of a qubit register with fermionic atoms
• Probing States in the Mott Insulator Regime
• Scalable register initialization for quantum computing in an optical lattice
• Effects of Inhomogeneity on the Spectrum of the Mott-Insulator State
• Scalable quantum computation in systems with Bose-Hubbard dynamics

Cited by in corpus (21)

• Ultracold quantum gases in triangular optical lattices
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• Cooling in strongly correlated optical lattices: prospects and challenges
• Entropy exchange in a mixture of ultracold atoms
• Boson Mott insulators at finite temperatures
• State diagrams for harmonically trapped bosons in optical lattices
• Thermometry of Fermionic Atoms in an Optical Lattice
• Finite temperature study of bosons in a two dimensional optical lattice
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• Perfect quantum state transfer with spinor bosons on weighted graphs
• On-site number statistics of ultracold lattice bosons
• Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
• The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice
• Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
• Dipole oscillations of confined lattice bosons in one dimension
• Probing condensate order in deep optical lattices
• Ramping fermions in optical lattices across a Feshbach resonance
• Efficiency for preforming molecules from mixtures of light Fermi and heavy Bose atoms in optical lattices: the strong-coupling-expansion method
• Extracting the Mott gap from energy measurements in trapped atomic gases
• Cooling ultracold bosons in optical lattices by spectral transform
• Divergence of thermalization rates driven by the competition between finite temperature and quantum coherence