Anomalous quantum glass of bosons in a random potential in two dimensions

Abstract

We present a quantum Monte Carlo study of the "quantum glass" phase of the 2D Bose-Hubbard model with random potentials at filling $\rho =1$. In the narrow region between the Mott and superfluid phases the compressibility has the form $\kappa \sim \exp (-b/T^{\alpha })+c$ with $\alpha <1$ and $c$ vanishing or very small. Thus, at $T=0$ the system is either incompressible (a Mott glass) or nearly incompressible (a Mott-glass-like anomalous Bose glass). At stronger disorder, where a glass reappears from the superfluid, we find a conventional highly compressible Bose glass. On a path connecting these states, away from the superfluid at larger Hubbard repulsion, a change of the disorder strength by only $10\%$ changes the low-temperature compressibility by more than four orders of magnitude, lending support to two types of glass states separated by a phase transition or a sharp cross-over.

Published version including supplementary material, 11 pages total, 15 figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Phase transition of one dimensional bosons with strong disorder
• Phase Diagram of Commensurate Two-Dimensional Disordered Bose Hubbard Model
• Particle-hole symmetry and the dirty boson problem
• Superfluid clusters, percolation and phase transitions in the disordered, two dimensional Bose-Hubbard model
• Quantum glass phases in the disordered Bose-Hubbard model
• A Mott Glass to Superfluid Transition for Random Bosons in Two Dimensions
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Quantum Critical Dynamics Simulation of Dirty Boson Systems
• Criticality and Mott-glass phase in a disordered 2D quantum spin systems

Cited by in corpus (12)

• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• A correlated Anderson insulator on the honeycomb lattice
• Quantum critical behavior of the superfluid-Mott glass transition
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
• Bose and Mott Glass Phases in Dimerized Quantum Antiferromagnets
• Local Density of the Bose Glass Phase
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Quantum transition between magnetically ordered and Mott glass phases
• Phase diagram of disordered Bose-Hubbard model based on mean-field and percolation analysis in two dimensions and at fixed $n=1$ filling
• Mott glass phase in a diluted bilayer Heisenberg quantum antiferromagnet