Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility

Abstract

In this study, we explore the quantum critical phenomena in generalized Aubry-André models, with a particular focus on the scaling behavior at various filling states. Our approach involves using quantum fidelity susceptibility to precisely identify the mobility edges in these systems. Through a finite-size scaling analysis of the fidelity susceptibility, we are able to determine both the correlation-length critical exponent and the dynamical critical exponent at the critical point of the generalized Aubry-André model. Based on the Diophantine equation conjecture, we can determines the number of subsequences of the Fibonacci sequence and the corresponding scaling functions for a specific filling fraction, as well as the universality class. Our findings demonstrate the effectiveness of employing the generalized fidelity susceptibility for the analysis of unconventional quantum criticality and the associated universal information of quasiperiodic systems in cutting-edge quantum simulation experiments.

arXiv comment9 pages, 5 figures

References in corpus (41)

• Anderson Transitions
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Fidelity approach to quantum phase transitions
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Quantum enhanced measurements without entanglement
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• One dimensional quasiperiodic mosaic lattice with exact mobility edges
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
• Quantum Critical Scaling of Fidelity Susceptibility
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Observation of interaction-induced mobility edge in a disordered atomic wire
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Fidelity approach to the disordered quantum XY model
• Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
• Critical quantum chaos and the one dimensional Harper model
• Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
• Fidelity Susceptibility in One-dimensional Disordered Lattice Models
• Fidelity Susceptibility as Holographic PV-Criticality
• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Non-power-law universality in one-dimensional quasicrystals
• Interacting particles at a metal-insulator transition
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Generalized fidelity susceptibility at phase transitions
• Fidelity Susceptibility in the Quantum Rabi Model
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Inverse participation ratios in the XXZ spin chain
• Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Fidelity susceptibility of one-dimensional models with twisted boundary conditions
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy

Cited by in corpus (5)

• Floquet engineering of point-gapped topological superconductors
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
• Phase Transitions and Critical Behavior in Quasi-One-Dimensional Two-Channel Systems with Quasiperiodic Disorder