Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model

Abstract

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreement with previous Monte Carlo calculations.

18 pages, 12 figures; some references and two appendices added; appearing in New Journal of Physics focus issue "Strongly Interacting Quantum Gases in One Dimension"

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• Observing the two-dimensional Bose glass in an optical quasicrystal
• Superfluidity in the 1D Bose-Hubbard Model
• Many-body localization of spinless fermions with attractive interactions in one dimension
• Superfluid to Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Quantification of Entanglement and Coherence with Purity Detection
• Collisionless drag for a one-dimensional two-component Bose-Hubbard model
• Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
• Enhancement of the Bose glass phase in the presence of an artificial gauge field
• Loop-Free Tensor Networks for High-Energy Physics
• Superfluid--Insulator Transition in Strongly Disordered One-dimensional Systems
• Detection of Berezinskii-Kosterlitz-Thouless transition via Generative Adversarial Networks
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Eigenstate properties of the disordered Bose-Hubbard chain
• Protecting quantum coherences from static noise and disorder
• Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Self-organized cavity bosons beyond the adiabatic elimination approximation
• Kane-Fisher weak link physics in the clean scratched-XY model
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder
• Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists
• Engineering a Josephson junction chain for the simulation of the clock model
• Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential
• Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
• Strong randomness criticality in the scratched-XY model