Equilibrium phases of two-dimensional bosons in quasi-periodic lattices

Abstract

We report on results of Quantum Monte Carlo simulations for bosons in a two dimensional quasi-periodic optical lattice. We study the ground state phase diagram at unity filling and confirm the existence of three phases: superfluid, Mott insulator, and Bose glass. At lower interaction strength, we find that sizable disorder strength is needed in order to destroy superfluidity in favor of the Bose glass. On the other hand, at large enough interaction superfluidity is completely destroyed in favor of the Mott insulator (at lower disorder strength) or the Bose glass (at larger disorder strength). At intermediate interactions, the system undergoes an insulator to superfluid transition upon increasing the disorder, while a further increase of disorder strength drives the superfluid to Bose glass phase transition. While we are not able to discern between the Mott insulator and the Bose glass at intermediate interactions, we study the transition between these two phases at larger interaction strength and, unlike what reported in arXiv:1110.3213v3 for random disorder, find no evidence of a Mott-glass-like behavior.

References in corpus (42)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Topological States and Adiabatic Pumping in Quasicrystals
• Bose-Einstein Condensation in Magnetic Insulators
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• A Bose-Einstein condensate in a random potential
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Disordered quantum gases under control
• Nature of the superconductor-insulator transition in disordered superconductors
• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors
• Delocalization of a disordered bosonic system by repulsive interactions
• Strongly interacting bosons in a disordered optical lattice
• Exponential localization in one-dimensional quasiperiodic optical lattices
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Disordered insulator in an optical lattice
• Observation of a disordered bosonic insulator from weak to strong interactions
• 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
• Glassy behavior in a binary atomic mixture
• Phase diagram of the disordered Bose-Hubbard model
• Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasi-periodic potentials
• Anderson-localization versus delocalization of interacting fermions in one dimension
• Evidence of a magnetic Bose glass in IPA-Cu(Cl0.95Br0.05)3 from neutron diffraction
• Phase Diagram of Commensurate Two-Dimensional Disordered Bose Hubbard Model
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Bose-Glass Phases in Disordered Quantum Magnets
• Superfluid clusters, percolation and phase transitions in the disordered, two dimensional Bose-Hubbard model
• Critical Exponents of the Superfluid-Bose Glass Transition in Three-Dimensions
• Phase diagram of a Disordered Boson Hubbard Model in Two Dimensions
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Critical Behaviour of Superfluid ${}^4$He in Aerogel
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• Criticality in a disordered quantum antiferromagnet by neutron diffraction
• Polar bosons in one-dimensional disordered optical lattices
• Quantum criticality in disordered bosonic optical lattices
• Bosons in Disordered Optical Potentials
• Critical Scaling Properties at the Superfluid Transition of ${}^4$He in Aerogel

Cited by in corpus (13)

• Observing the two-dimensional Bose glass in an optical quasicrystal
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• A quantum Monte Carlo study of the long-ranged site-diluted XXZ-model as realized by polar molecules
• Equilibrium phases of dipolar lattice bosons in the presence of random diagonal disorder
• 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
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions
• Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Emergence of damped-localized excitations of the Mott state due to disorder