Properties of the Superfluid in the Disordered Bose-Hubbard Model

Abstract

We investigate the properties of the superfluid phase in the three-dimensional disordered Bose-Hubbard model using Quantum Monte-Carlo simulations. The phase diagram is generated using Gaussian disorder on the on-site potential. Comparisons with box and speckle disorder show qualitative similarities leading to the re-entrant behavior of the superfluid. Quantitative differences that arise are controlled by the specific shape of the disorder. Statistics pertaining to disorder distributions are studied for a range of interaction strengths and system sizes, where strong finite-size effects are observed. Despite this, both the superfluid fraction and compressibility remain self-averaging throughout the superfluid phase. Close to the superfluid-Bose-glass phase boundary, finite-size effects dominate but still suggest that self-averaging holds. Our results are pertinent to experiments with ultracold atomic gases where a systematic disorder averaging procedure is typically not possible.

arXiv comment10 pages, 7 figures

References in corpus (36)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Fermi-Hubbard physics with atoms in an optical lattice
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Homogeneous Atomic Fermi Gases
• Strongly interacting bosons in a disordered optical lattice
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• Matterwave localization in disordered cold atom lattices
• Quantum Quench of an Atomic Mott Insulator
• Disordered insulator in an optical lattice
• Quantum depletion of a homogeneous Bose-Einstein condensate
• Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
• Lack of Self-Averaging in Critical Disordered Systems
• Phase diagram of the disordered Bose-Hubbard model
• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Bose glass and Mott insulator phase in the disordered boson Hubbard model
• Quenched disorder induced magnetization jumps in (Sm,Sr)MnO${}_3$
• Criticality and quenched disorder: rare regions vs. Harris criterion
• From stripe to checkerboard order on the square lattice in the presence of quenched disorder
• Stochastic Mean-Field Theory: Method and Application to the Disordered Bose-Hubbard Model at Finite Temperature and Speckle Disorder
• Measurement of spectral functions of ultracold atoms in disordered potentials
• Critical Exponents of the Superfluid-Bose Glass Transition in Three-Dimensions
• Quantum critical behavior of the superfluid-Mott glass transition
• Construction of localized wave functions for a disordered optical lattice and analysis of the resulting Hubbard model parameters
• Strong Anderson localization in cold atom quantum quenches
• Cooling Atomic Gases With Disorder
• Is small-world network disordered?
• Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
• Two distinct Mott-Insulator to Bose-glass transitions and breakdown of self averaging in the disordered Bose-Hubbard model
• Metastable Bose-Einstein Condensation in a Strongly Correlated Optical Lattice
• Breakdown of self-averaging in the Bose glass
• Self-averaging in the random 2D Ising ferromagnet
• A Quantum Theory of Cold Bosonic Atoms in Optical Lattices

Cited by in corpus (11)

• Preparing multiparticle entangled states of NV centers via adiabatic ground-state transitions
• The Mean-Field Bose Glass in Quasicrystalline Systems
• Green's function approach to the Bose-Hubbard model with disorder
• The effect of disorder on the phase diagrams of hard-core lattice bosons with cavity-mediated long-range and nearest-neighbor interactions
• Effects of long range hopping in the Bose-Hubbard model
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• Emergence of damped-localized excitations of the Mott state due to disorder
• Reentrant phase transitions involving glassy and superfluid orders in the random hopping Bose-Hubbard model
• Phase diagram of disordered Bose-Hubbard model based on mean-field and percolation analysis in two dimensions and at fixed $n=1$ filling
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder