Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model

Abstract

We study the Mott-insulator transition of bosonic atoms in optical lattices. Using perturbation theory, we analyze the deviations from the mean-field Gutzwiller ansatz, which become appreciable for intermediate values of the ratio between hopping amplitude and interaction energy. We discuss corrections to number fluctuations, order parameter, and compressibility. In particular, we improve the description of the short-range correlations in the one-particle density matrix. These corrections are important for experimentally observed expansion patterns, both for bulk lattices and in a confining trap potential.

arXiv comment10 pages, 10 figues

References in corpus (28)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Persistent entanglement in arrays of interacting particles
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Entanglement of atoms via cold controlled collisions
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Quantum phases in an optical lattice
• High-temperature superfluidity of fermionic atoms in optical lattices
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Phases of the one-dimensional Bose-Hubbard model
• Atomic Bose and Anderson glasses in optical lattices
• Mott Domains of Bosons Confined on Optical Lattices
• Atomic Bose-Fermi mixtures in an optical lattice
• Oscillating Superfluidity of Bosons in Optical Lattices
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Phase Diagram of Bosonic Atoms in Two-Color Superlattices
• Expansion of a coherent array of Bose-Einstein condensates
• Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
• Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
• Commensurate-incommensurate transition of cold atoms in an optical lattice
• Density matrix renormalization group for disordered bosons in one dimension
• Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
• Spatial correlations of trapped 1d bosons in an optical lattice
• Defect-Suppressed Atomic Crystals in an Optical Lattice
• Bogoliubov approach to superfluidity of atoms in an optical lattice
• Bose glass and Mott insulator phase in the disordered boson Hubbard model
• Probing States in the Mott Insulator Regime

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• Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
• Superfluid-insulator transitions of two-species Bosons in an optical lattice
• Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
• Quantum Phase Diagram of Bosons in Optical Lattices
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
• Criticality in Trapped Atomic Systems
• Ground-state properties of anyons in a one-dimensional lattice
• Variational Cluster Perturbation Theory for Bose-Hubbard models
• The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
• Bose-Fermi mixtures in an optical lattice
• Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
• Effect of Doublon-Holon Binding on Mott transition---Variational Monte Carlo Study of Two-Dimensional Bose Hubbard Models
• Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Theory for supersolid ${}^4$He
• Controlling coherence via tuning of the population imbalance in a bipartite optical lattice
• Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
• Slave particle approach to the finite temperature properties of ultracold Bose gases in optical lattices
• Finite Temperature Phase Transition in a Cross-Dimensional Triangular Lattice
• Impurity dephasing in a Bose-Hubbard model
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Mott phases and superfluid-insulator transition of dipolar spin-three bosons in an optical lattice: implications for Cr atoms
• Ultracold Bosons on a Regular Spherical Mesh
• Doublon-Holon Binding Effects on Mott Transitions in Two-Dimensional Bose Hubbard Model
• Extracting the Mott gap from energy measurements in trapped atomic gases
• Self-consistent approach for Bose-condensed atoms in optical lattices
• A Quantum Theory of Cold Bosonic Atoms in Optical Lattices
• Doorway states and the Bose-Hubbard model
• Short-range coherence of a lattice Bose atom gas in the Mott insulating phase