Dynamical mean field solution of the Bose-Hubbard model

Abstract

We present the effective action and self-consistency equations for the bosonic dynamical mean field (B-DMFT) approximation to the bosonic Hubbard model and show that it provides remarkably accurate phase diagrams and correlation functions. To solve the bosonic dynamical mean field equations we use a continuous-time Monte Carlo method for bosonic impurity models based on a diagrammatic expansion in the hybridization and condensate coupling. This method is readily generalized to bosonic mixtures, spinful bosons, and Bose-Fermi mixtures.

10 pages, 3 figures. includes supplementary material

References in corpus (8)

• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Dynamical mean field solution of the Bose-Hubbard model
• Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• Beliaev technique for a weakly interacting Bose gas
• Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases

Cited by in corpus (66)

• Nonequilibrium dynamical mean-field theory and its applications
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Lecture Notes of Tensor Network Contractions
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Ultracold bosons with short-range interaction in regular optical lattices
• Dynamical mean field solution of the Bose-Hubbard model
• Lattice supersolid phase of strongly correlated bosons in an optical cavity
• Nonperturbative renormalization-group approach to strongly-correlated lattice bosons
• Dynamical mean-field theory for bosons
• Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• Tunable anisotropic magnetism in trapped two-component Bose gases
• Finite-Temperature Auxiliary-Field Quantum Monte Carlo for Bose-Fermi Mixtures
• Cooling through quantum criticality and many-body effects in condensed matter and cold gases
• From the Cooper problem to canted supersolids in Bose-Fermi mixtures
• Supersolidity of lattice Bosons immersed in strongly correlated Rydberg dressed atoms
• Many-Body Open Quantum Systems
• Dynamical mean-field study of a photon-mediated ferroelectric phase transition
• Spectral properties and phase diagram of correlated lattice bosons in an optical cavity within the B-DMFT
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Many-body chiral edge currents and sliding phases of atomic spinwaves in momentum-space lattice
• Few-body systems capture many-body physics: tensor network approach
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
• Quantum Phase Transition of Light in the Rabi-Hubbard Model
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Pomeranchuk effect and spin-gradient cooling of Bose-Bose mixtures in an optical lattice
• Bose-Bose Mixtures with Synthetic Spin-Orbit Coupling in Optical Lattices
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Dynamical Mean-Field Theory
• Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
• Beyond the Hubbard bands in strongly correlated lattice bosons
• Efficient Quantum Simulation for Thermodynamics of Infinite-size Many-body Systems in Arbitrary Dimensions
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Dynamical Mean Field Approximation Applied to Quantum Field Theory
• Bosonic self-energy functional theory
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Anisotropic pair-superfluidity of trapped two-component Bose gases
• Numerical calculation of spectral functions of the Bose-Hubbard model using B-DMFT
• Damping of spinful excitons in LaCoO${}_3$ by thermal fluctuations: Theory and experiment
• Lecture notes on Diagrammatic Monte Carlo for the Fröhlich polaron
• Fast Principal Minor Algorithms for Quantum Many Body Systems
• Metastable Bose-Einstein Condensation in a Strongly Correlated Optical Lattice
• Hierarchy of double-time correlations
• Phase transitions of the coherently coupled two-component Bose gas in a square optical lattice
• Strong-coupling solution of the bosonic dynamical mean-field theory
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
• Two-state Bose-Hubbard model in the hard-core boson limit
• Thermodynamics of the Bose-Hubbard model in a Bogoliubov+U theory
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices
• Local Density of the Bose Glass Phase
• A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs
• Quasiparticle spectra of supersolid lattice gases at near-resonant Rydberg-dressing
• Controlling higher-orbital quantum phases of ultracold atoms via coupling to optical cavities
• Quantum mean-field approximation for lattice quantum models: truncating quantum correlations, and retaining classical ones
• Fate of the Mollow triplet in strongly-coupled atomic arrays
• Self-energy functional theory with symmetry breaking for disordered lattice bosons
• Symmetry breaking and physical properties of the bosonic single-impurity Anderson model
• Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
• Normal and anomalous densities in Bose-Einstein condensate with optical lattices