Dirty Bosons: Twenty Years Later

Abstract

A concise, somewhat personal, review of the problem of superfluidity and quantum criticality in regular and disordered interacting Bose systems is given, concentrating on general features and important symmetries that are exhibited in different parts of the phase diagram, and that govern the different possible types of critical behavior. A number of exact results for various insulating phase boundaries, which may be used to constrain the results of numerical simulations, can be derived using large rare region type arguments. The nature of the insulator-superfluid transition is explored through general scaling arguments, exact model calculations in one dimension, numerical results in two dimensions, and approximate renormalization group results in higher dimensions. Experiments on He-4 adsorbed in porous Vycor glass, on thin film superconductors, and magnetically trapped atomic vapors in a periodic optical potential, are used to illustrate many of the concepts.

26 pages, 9 figures, submitted to Modern Physics Letters B (Brief Reviews)

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• The superconductor-insulator transition in 2D dirty boson systems
• Superfluid--Insulator Transition in Commensurate Disordered Bosonic Systems:Large-Scale Worm-Algorithm Simulations
• Phase transition of one dimensional bosons with strong disorder
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• Quantum simulations of the superfluid-insulator transition for two-dimensional, disordered, hard-core bosons
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Particle-hole symmetry and the dirty boson problem
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Critical behavior at superconductor-insulator phase transitions near one dimension

Cited by in corpus (24)

• Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
• Disorder-Induced Entanglement in Spin Ice Pyrochlores
• Phase diagram of the disordered Bose-Hubbard model
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Weakly interacting Bose gas in a random environment
• Phase Diagram of Commensurate Two-Dimensional Disordered Bose Hubbard Model
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Universal phase diagram of disordered bosons from a doped quantum magnet
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Classical-Field Renormalization Flow of One-Dimensional Disordered Bosons
• Bose-glass, superfluid, and rung-Mott phases of hard-core bosons in disordered two-leg ladders
• Ordered magnetism in the intrinsically decorated $j{}_{\mathrm{eff}}$ = $\frac{1}{2}$ $\alpha$-CoV${}_3$O${}_8$
• Characterization of the Bose-glass phase in low-dimensional lattices
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach
• How to engineer a quantum wavefunction
• Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo study
• Revealing Novel Quantum Phases in Quantum Antiferromagnets on Random Lattices
• Gate voltage tuned quantum superconductor to insulator transition in an ultrathin bismuth film revisited
• Degenerate approach to the mean field Bose- Hubbard Hamiltonian