Application of a multi-site mean-field theory to the disordered Bose-Hubbard model
arXiv:1103.4202 · doi:10.1103/PhysRevA.83.053608
Abstract
We present a multi-site formulation of mean-field theory applied to the disordered Bose-Hubbard model. In this approach the lattice is partitioned into clusters, each isolated cluster being treated exactly, with inter-cluster hopping being treated approximately. The theory allows for the possibility of a different superfluid order parameter at every site in the lattice, such as what has been used in previously published site-decoupled mean-field theories, but a multi-site formulation also allows for the inclusion of spatial correlations allowing us, e.g., to calculate the correlation length (over the length scale of each cluster). We present our numerical results for a two-dimensional system. This theory is shown to produce a phase diagram in which the stability of the Mott insulator phase is larger than that predicted by site-decoupled single-site mean-field theory. Two different methods are given for the identification of the Bose glass-to-superfluid transition, one an approximation based on the behaviour of the condensate fraction, and one of which relies on obtaining the spatial variation of the order parameter correlation. The relation of our results to a recent proposal that both transitions are non self-averaging is discussed.
Accepted for publication in Physical Review A
References in corpus (10)
- Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
- Exact diagonalization: the Bose-Hubbard model as an example
- Quantum Phase Diagram of Bosons in Optical Lattices
- The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
- Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
- Mean-field phase diagram of cold lattice bosons in disordered potentials
- Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
- Mean-field description of ultracold Bosons on disordered two-dimensional optical lattices
- Bose-Fermi mixtures in 1D optical superlattices
- Glassy features of a Bose Glass
Cited by in corpus (28)
- Multi-orbital and density-induced tunneling of bosons in optical lattices
- Cluster Gutzwiller method for bosonic lattice systems
- Quantum phases of hardcore bosons with long-range interactions on a square lattice
- Superfluid clusters, percolation and phase transitions in the disordered, two dimensional Bose-Hubbard model
- Multi-site mean-field theory for cold bosonic atoms in optical lattices
- Quantum phases in tunable state-dependent hexagonal optical lattices
- Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
- Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
- Bosonic quantum Hall states in single-layer two-dimensional optical lattices
- Mean-field study of the Bose-Hubbard model in Penrose lattice
- Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
- Enhancement of the Bose glass phase in the presence of an artificial gauge field
- Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices
- Quantum Dynamics of Disordered Bosons in an Optical Lattice
- Quantum phases of dipolar bosons in multilayer optical lattice
- Dimerized Mott insulators in hexagonal optical lattices
- Realization of balanced gain and loss in a time-dependent four-mode Bose-Hubbard model
- Green's function approach to the Bose-Hubbard model with disorder
- Capturing the re-entrant behaviour of one-dimensional Bose-Hubbard model
- Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
- Extended Bose-Hubbard models with Rydberg macrodimer dressing
- Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
- Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
- Lattice bosons in a quasi-disordered environment
- Emergence of damped-localized excitations of the Mott state due to disorder
- Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
- Bose-Einstein condensation in exotic lattice geometries
- Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists