Green's function approach to the Bose-Hubbard model with disorder
arXiv:2108.13187 · doi:10.1088/1367-2630/ac15b3
Abstract
We analyse the distinction between the three different ground states presented by a system of spinless bosons with short-range interactions submitted to a random potential using the disordered Bose-Hubbard model. The criteria for identifying the superfluid, the Mott-insulator, and the Bose-glass phases at finite temperatures are discussed for small values of the kinetic energy associated with the tunnelling of particles between potential wells. Field theoretical considerations are applied in order to construct a diagrammatic hopping expansion to the finite-temperature Green's function. By performing a summation of subsets of diagrams we are able to find the condition to the long-range correlations which leads to the phase boundary between superfluid and insulating phases. The perturbative expression to the local correlations allows us to calculate an approximation to the single-particle density of states of low-energy excitations in the presence of small hopping, which characterizes unambiguously the distinction between the Mott-insulator and the Bose-glass phases. We obtain the phase diagram for bounded on-site disorder. It is demonstrated that our analysis is capable of going beyond the mean-field theory results for the classification of these different ground states.
arXiv comment19 pages, 4 figures
References in corpus (30)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- A Bose-Einstein condensate in a random potential
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
- Customizing Speckle Intensity Statistics
- Disordered Bose-Einstein Condensates in Quasi One-Dimensional Magnetic Microtraps
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Superfluidity vs Bose-Einstein condensation in a Bose gas with disorder
- Quantum Phase Diagram of Bosons in Optical Lattices
- Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length
- Atom chips in the real world: the effects of wire corrugation
- 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: Method and Application to the Disordered Bose-Hubbard Model at Finite Temperature and Speckle Disorder
- Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
- Critical Exponents of the Superfluid-Bose Glass Transition in Three-Dimensions
- Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
- Quantum Critical Dynamics Simulation of Dirty Boson Systems
- Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
- Application of a multi-site mean-field theory to the disordered Bose-Hubbard model
- High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
- Order via Nonlinearity in Randomly Confined Bose Gases
- Quantum Critical Scaling of Dirty Bosons in Two Dimensions
- Equilibrium phases of two-dimensional bosons in quasi-periodic lattices
- Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
- Hartree-Fock Mean-Field Theory for Trapped Dirty Bosons
- Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap
- Properties of the Superfluid in the Disordered Bose-Hubbard Model
Cited by in corpus (4)
- Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
- Hierarchical dimensional crossover of an optically-trapped quantum gas with disorder
- Emergence of damped-localized excitations of the Mott state due to disorder
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder