Boson Mott insulators at finite temperatures

Abstract

We discuss the finite temperature properties of ultracold bosons in optical lattices in the presence of an additional, smoothly varying potential, as in current experiments. Three regimes emerge in the phase diagram: a low-temperature Mott regime similar to the zero-temperature quantum phase, an intermediate regime where MI features persist, but where superfluidity is absent, and a thermal regime where features of the Mott insulator state have disappeared. We obtain the thermodynamic functions of the Mott phase in the latter cases. The results are used to estimate the temperatures achieved by adiabatic loading in current experiments. We point out the crucial role of the trapping potential in determining the final temperature, and suggest a scheme for further cooling by adiabatic decompression.

References in corpus (18)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The cold atom Hubbard toolbox
• Quantum phases in an optical lattice
• Condensate fraction and critical temperature of a trapped interacting Bose gas
• Pair correlations in a finite-temperature 1D Bose gas
• Oscillating Superfluidity of Bosons in Optical Lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Ultracold atoms in optical lattices
• Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
• Intrinsic Heating and Cooling in Adiabatic Processes for Bosons in Optical Lattices
• The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice
• Effects of finite temperature on the Mott insulator state
• Occupation number and fluctuations in the finite-temperature Bose-Hubbard model
• Slave particle approach to the finite temperature properties of ultracold Bose gases in optical lattices
• Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice
• Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices

Cited by in corpus (79)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• A Mott insulator of fermionic atoms in an optical lattice
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Cold Bosons in Optical Lattices
• 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
• Observation of a disordered bosonic insulator from weak to strong interactions
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Spin gradient demagnetization cooling of ultracold atoms
• Cooling and entangling ultracold atoms in optical lattices
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Spin gradient thermometry for ultracold atoms in optical lattices
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Cooling and Near-equilibrium Dynamics of Atomic Gases Across the Superfluid-Mott Insulator Transition
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Thermometry with spin-dependent lattices
• Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
• State diagrams for harmonically trapped bosons in optical lattices
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Non-equilibrium dynamics of the Bose-Hubbard model: A projection operator approach
• Temperature changes when adiabatically ramping up an optical lattice
• Single-site- and single-atom-resolved measurement of correlation functions
• Extended Bose-Hubbard model with dipolar excitons
• Dynamic freezing of strongly correlated ultracold bosons
• Lattice Thermodynamics for Ultra-Cold Atoms
• Finite temperature study of bosons in a two dimensional optical lattice
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• The equation of state of ultracold Bose and Fermi gases: a few examples
• Stochastic Mean-Field Theory: Method and Application to the Disordered Bose-Hubbard Model at Finite Temperature and Speckle Disorder
• Exact solution of the Bose-Hubbard model on the Bethe lattice
• Photonic Phase Gate via an Exchange of Fermionic Spin Waves in a Spin Chain
• A projection operator approach to the Bose-Hubbard model
• First order phase transitions in optical lattices with tunable three-body onsite interaction
• Phase diagram of the hardcore Bose-Hubbard model on a checkerboard superlattice
• Visibility of Cold Atomic Gases in Optical Lattices for Finite Temperatures
• Compression as a tool to detect Bose glass in cold atoms experiments
• Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
• Trap modulation spectroscopy of the Mott-insulator transition in optical lattices
• Dynamically Probing Ultracold Lattice Gases via Rydberg Molecules
• Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
• Preparation of the spin-Mott state: a spinful Mott insulator of repulsively bound pairs
• Thermometry and Refrigeration in a Two-Component Mott Insulator of Ultracold Atoms
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• Bose Hubbard model in the presence of Ohmic dissipation
• Finite-temperature effects on interacting bosonic 1D systems in disordered lattices
• Probing condensate order in deep optical lattices
• Enhancement of the Bose glass phase in the presence of an artificial gauge field
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• Theoretical exploration of competing phases of lattice Bose gases in a cavity
• Quasiequilibrium Mixture of Itinerant and Localized Bose Atoms in Optical Lattice
• Improving Mean-Field Theory for Bosons in Optical Lattices via Degenerate Perturbation Theory
• Momentum Resolved Optical Lattice Modulation Spectroscopy for Bose Hubbard Model
• Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• The large coordination number expansion of a lattice Bose gas at finite temperature
• Finite temperature coherence of the ideal Bose gas in an optical lattice
• Extended Hubbard model with renormalized Wannier wave functions in the correlated state II: Quantum critical scaling of the wave function near the Mott-Hubbard transition
• Finite-temperature degenerate perturbation theory for bosons in optical lattices
• Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
• Thermally induced coherence in a Mott insulator of bosonic atoms
• Efficiency for preforming molecules from mixtures of light Fermi and heavy Bose atoms in optical lattices: the strong-coupling-expansion method
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Staggered quantum phases of dipolar bosons at finite temperatures
• Optical Lattice Modulation Spectroscopy for Spin-orbit Coupled Bosons
• Measuring Non-local Brane Order with Error-corrected Parity Snapshots
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice
• Effect of boson on-site repulsion on the superfluidity in the boson-fermion-Hubbard model
• Excitation Spectra and Hard-core Thermodynamics of Bosonic Atoms In Double Well Optical Lattices
• Finite temperature superfluid transition of strongly-correlated lattice bosons in various geometries
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
• Finite-temperature quantum rotor approach for ultracold bosons in optical lattices