Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons

Abstract

Finite size scalings of the momentum distribution and noise correlations are performed to study Mott insulator, Bose glass, and superfluid quantum phases in hard-core bosons (HCBs) subjected to quasi-periodic disorder. The exponents of the correlation functions at the Superfluid to Bose glass (SF-BG) transition are found to be approximately one half of the ones that characterizes the superfluid phase. The derivatives of the peak intensities of the correlation functions with respect to quasiperiodic disorder are shown to diverge at the SF-BG critical point. This behavior does not occur in the corresponding free fermion system, which also exhibits an Anderson-like transition at the same critical point, and thus provides a unique experimental tool to locate the phase transition in interacting bosonic systems. We also report on the absence of primary sublattice peaks in the momentum distribution of the superfluid phase for special fillings.

9 pages, 9 figures, as published

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Cited by in corpus (16)

• Many-Body Localization in a Quasiperiodic System
• Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
• Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
• Solving the quantum many-body problem via correlations measured with a momentum microscope
• Many-body dynamical phase transition in quasi-periodic potential
• Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Dense gaps and scaling relations in the interacting Aubry-Andre' model
• Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Quantum Brownian motion in a quasiperiodic potential
• Fractal Quasicondensation in One Dimension