Superfluid/Bose-glass transition in one dimension

Abstract

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a systematic approach, we derive the renormalization group equations at two-loop order and discuss the phase diagram. We find the universal form of the correlation functions at the transitions and compute the logarithmic corrections to the main universal power-law behavior. In order to mimic large density fluctuations on a single site, we study a simplified model of disordered two-leg bosonic ladders with correlated disorder across the rung. Contrarily to the single-chain case, the latter system exhibits a transition between a superfluid and a localized phase where the exponents of the correlation functions at the transition do not take universal values.

arXiv comment21 pages, 3 figures

References in corpus (35)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Bose-Einstein Condensation in Magnetic Insulators
• Rise and fall of hidden string order of lattice bosons
• Finite temperature phase transition for disordered weakly interacting bosons in one dimension
• Disordered insulator in an optical lattice
• Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
• Density matrix renormalization group for disordered bosons in one dimension
• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
• Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles
• Evidence of a magnetic Bose glass in IPA-Cu(Cl0.95Br0.05)3 from neutron diffraction
• Superfluid-insulator transition of disordered bosons in one-dimension
• Vortex Glass Phase and Universal Susceptibility Variations in Planar Array of Flux Lines
• Dirty-boson physics with magnetic insulators
• Phase transition of interacting disordered bosons in one dimension
• Excitation spectrum of the Lieb-Liniger model
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
• Comment on ``One-Dimensional Disordered Bosonic Hubbard Model: A Density-Matrix Renormalization Group Study"
• Strong disorder renormalization group primer and the superfluid-insulator transition
• Vortices in coupled planes with columnar disorder and bosonic ladders
• Critical exponents at the superconductor-insulator transition in dirty-boson systems
• Supercurrent States in 1D Finite-Size Rings
• Spin ladders and quantum simulators for Luttinger liquids
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• Asymptotically Exact Scenario of Strong-Disorder Criticality in One-Dimensional Superfluids
• Superfluid--Insulator Transition in Commensurate One-Dimensional Bosonic System with Off-Diagonal Disorder
• Classical-Field Renormalization Flow of One-Dimensional Disordered Bosons
• Disordered bosons in one dimension: from weak to strong randomness criticality
• Numerical evidence for strong randomness scaling at a superfluid-insulator transition of one-dimensional bosons
• Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas
• Super-rough phase of the random-phase sine-Gordon model: Two-loop results
• Exact form of the exponential correlation function in the glassy super-rough phase

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• Weak Versus Strong Disorder Superfluid-Bose Glass Transition in One Dimension
• Violation of the Wiedemann-Franz Law for ultracold atomic gases
• Many-body localization of spinless fermions with attractive interactions in one dimension
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Quench-induced delocalization
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Scale-invariant phase transition of disordered bosons in one dimension
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Quantum Phases of a Weakly Disordered Josephson Ladder
• Strong randomness criticality in the scratched-XY model
• Self-consistent T-matrix approach to Bose-glass in one dimension