Quantum glass of interacting bosons with off-diagonal disorder

Abstract

We study disordered interacting bosons described by the Bose-Hubbard model with Gaussian-distributed random tunneling amplitudes. It is shown that the off-diagonal disorder induces a spin-glass-like ground state, characterized by randomly frozen quantum-mechanical U(1) phases of bosons. To access criticality, we employ the "$n$-replica trick", as in the spin-glass theory, and the Trotter-Suzuki method for decomposition of the statistical density operator, along with numerical calculations. The interplay between disorder, quantum and thermal fluctuations leads to phase diagrams exhibiting a glassy state of bosons, which are studied as a function of model parameters. The considered system may be relevant for quantum simulators of optical-lattice bosons, where the randomness can be introduced in a controlled way. The latter is supported by a proposition of experimental realization of the system in question.

References in corpus (18)

• Artificial gauge potentials for neutral atoms
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Exploring the many-body localization transition in two dimensions
• The cold atom Hubbard toolbox
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Josephson Junction Arrays with Bose-Einstein Condensates
• Exciting Collective Oscillations in a Trapped 1D Gas
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Superfluid--Insulator Transition in Commensurate Disordered Bosonic Systems:Large-Scale Worm-Algorithm Simulations
• Ultracold atoms in optical lattices with random on-site interactions
• Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
• Quantum glass phases in the disordered Bose-Hubbard model
• Localization and chaos in a spin glass model with random fields: Mapping to the localization problem in a Bethe lattice with a correlated disorder
• Superfluid--Insulator Transition in Commensurate One-Dimensional Bosonic System with Off-Diagonal Disorder
• Quantum effects in a superconducting glass model

Cited by in corpus (4)

• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Stability of the replica-symmetric solution in the off-diagonally-disordered Bose-Hubbard model
• Reentrant phase transitions involving glassy and superfluid orders in the random hopping Bose-Hubbard model
• Emergence of a superglass phase in the random hopping Bose-Hubbard model