A Numerical Study of the Random Transverse-Field Ising Spin Chain

Abstract

We study numerically the critical region and the disordered phase of the random transverse-field Ising chain. By using a mapping of Lieb, Schultz and Mattis to non-interacting fermions, we can obtain a numerically exact solution for rather large system sizes, $L\le 128$. Our results confirm the striking predictions of earlier analytical work and, in addition, give new results for some probability distributions and scaling functions.

16 pages with 23 embedded postscript figures. A uuencoded, compressed tar file. The postscript file is available by anonymous ftp from ftp://chopin.ucsc.edu/pub/one-d.ps

References in corpus (1)

• Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis

Cited by in corpus (163)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Colossal Effects in Transition Metal Oxides Caused by Intrinsic Inhomogeneities
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Infinite-randomness quantum Ising critical fixed points
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Quantum Annealing: An Overview
• Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
• Disorder-induced rounding of certain quantum phase transitions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Quantum Griffiths effects in itinerant Heisenberg magnets
• The Random Transverse Ising Spin Chain and Random Walks
• Disorder in quantum many-body systems
• Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field
• Superconductor-Insulator transition and energy localization
• Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains
• The quantum Ising chain for beginners
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
• Exact results for quantum phase transitions in random XY spin chains
• Theory of smeared quantum phase transitions
• Entanglement Across a Transition to Quantum Chaos
• Glassy dynamics in a disordered Heisenberg quantum spin system
• Reinforcement Learning assisted Quantum Optimization
• Fidelity approach to the disordered quantum XY model
• Trap-size scaling in confined particle systems at quantum transitions
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Smearing of the phase transition in Ising systems with planar defects
• Absence of conventional quantum phase transitions in itinerant systems with disorder
• Exact renormalization of the random transverse-field Ising spin chain in the strongly ordered and strongly disordered Griffiths phases
• Finite Temperature and Dynamical Properties of the Random Transverse-Field Ising Spin Chain
• Renormalization group study of random quantum magnets
• Quantum transitions driven by one-bond defects in quantum Ising rings
• Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
• Griffiths-McCoy singularities in random quantum spin chains: Exact results through renormalization
• Relaxation and Thermalization after a Quantum Quench: Why Localization is Important
• Strongly disordered spin ladders
• Anomalous diffusion in disordered media and random quantum spin chains
• Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain
• Exotic vs. conventional scaling and universality in a disordered bilayer quantum Heisenberg antiferromagnet
• Density Profiles in Random Quantum Spin Chains
• Infinite randomness fixed point of the superconductor-metal quantum phase transition
• XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Smeared phase transition in a three-dimensional Ising model with planar defects: Monte-Carlo simulations
• Protecting clean critical points by local disorder correlations
• Dynamics of a quantum phase transition in the Aubry-André-Harper model with $p$-wave superconductivity
• Spectral statistics, finite-size scaling and multifractal analysis of quasiperiodic chain with p-wave pairing
• Critical Properties of the Superfluid - Bose Glass Transition in Two Dimensions
• The fate of dynamical many-body localization in the presence of disorder
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Scaling of the fidelity susceptibility in a disordered quantum spin chain
• Strong Griffiths singularities in random systems and their relation to extreme value statistics
• Crossover effects in the random exchange spin-1/2 antiferromagnetic chain
• Infinite-randomness fixed point of the quantum superconductor-metal transitions in amorphous thin films
• Quantum phase transitions of the diluted O(3) rotor model
• Delocalization border and onset of chaos in a model of quantum computation
• Disorder overtakes Order in Information Concentration over Quantum Networks
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• A numerical study of the Random Dimerized XX spin-1/2 chain
• Quantum Spin Glasses
• The cavity method for quantum disordered systems: from transverse random field ferromagnets to directed polymers in random media
• Long-range random transverse-field Ising model in three dimensions
• Griffiths Singularities in the Random Quantum Ising Antiferromagnet: A Tree Tensor Network Renormalization Group Study
• Quantum annealing speedup over simulated annealing on random Ising chains
• Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
• Ground state of the random-bond spin-1 Heisenberg chain
• Local magnetic structure due to inhomogeneity of interaction in S=1/2 antiferromagnetic chain
• Scalable neural networks for the efficient learning of disordered quantum systems
• Quantum Critical Dynamics of the Random Transverse Field Ising Spin Chain
• Properties of the random field Ising model in a transverse magnetic field
• Dissipation effects in random transverse-field Ising chains
• Thermodynamic properties of spin-1/2 transverse XY chain with Dzyaloshinskii-Moriya interaction: Exact solution for correlated Lorentzian disorder
• Random Transverse Field Ising Model in dimension $d>1$ : scaling analysis in the disordered phase from the Directed Polymer model
• Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice
• Simulating disordered quantum systems via dense and sparse restricted Boltzmann machines
• Enhanced magnetic fluctuations in doped spin-Peierls systems: a single-chain model analysis
• Temperature Dependence of Spin and Bond Ordering in a Spin-Peierls System
• The hydrodynamic theory of dynamical correlation functions in the XX chain
• Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
• Griffiths-McCoy Singularities in the Random Transverse-Field Ising Spin Chain
• Quantum Ising model in a transverse random field: A density-matrix renormalization group analysis
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• Percolation transition and dissipation in quantum Ising magnets
• Neutron Scattering, Magnetometry, and Quantum Monte Carlo Study of the Randomly-Diluted Spin-1/2 Square-Lattice Heisenberg Antiferromagnet
• Scaling of the spin stiffness in random spin-1/2 chains : Crossover from pure-metallic behaviour to random singlet-localized regime
• Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
• Average persistence in random walks
• Critical and Griffiths-McCoy singularities in quantum Ising spin-glasses on d-dimensional hypercubic lattices: A series expansion study
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Critical points and quenched disorder: From Harris criterion to rare regions and smearing
• Dynamical Critical Properties of the Random Transverse-Field Ising Spin Chain
• Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain
• The Two-Dimensional Disordered Boson Hubbard Model: Evidence for a Direct Mott Insulator-to-Superfluid Transition and Localization in the Bose Glass Phase
• The correlation functions of certain random antiferromagnetic spin-1/2 critical chains
• Spectral form factors of clean and random quantum Ising chains
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Hilbert Space Fragmentation and Ashkin-Teller Criticality in Fluctuation Coupled Ising Models
• Quantum dynamics of an Ising spin-chain in a random transverse field
• Enhanced rare region effects in the contact process with long-range correlated disorder
• Static properties of the dissipative random quantum Ising ferromagnetic chain
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Ensemble dependence in the Random transverse-field Ising chain
• The McCoy-Wu Model in the Mean-field Approximation
• Thermalization of Topological Entropy after a Quantum Quench
• Rare regions and Griffiths singularities at a clean critical point: The five-dimensional disordered contact process
• Quantum information spreading in random spin chains with topological order
• On the dynamics of Simulated Quantum Annealing in random Ising chains
• Critical Behavior of the Random Potts Chain
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Two-dimensional Ising model with self-dual biaxially correlated disorder
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Percolation in random environment
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Transverse-field Ising spin chain with inhomogeneous disorder
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• Strong-disorder magnetic quantum phase transitions: Status and new developments
• Extreme statistics of the excitations in the random transverse Ising chain
• Localization of spin waves in disordered quantum rotors
• Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain
• Disorder-induced dynamical Griffiths singularities after certain quantum quenches
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Extended surface disorder in the quantum Ising chain
• Schmidt gap in random spin chains
• Quantum phase transition of nonlocal Ising chain with transverse field in a resonator
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Entanglement entropy and localization in disordered quantum chains
• Nonlinear susceptibility of a quantum spin glass under uniform transverse and random longitudinal magnetic fields
• The Griffiths phase and beyond: A large deviations study of the magnetic susceptibility of the two-dimensional bond-diluted Ising model
• Deep learning nonlocal and scalable energy functionals for quantum Ising models
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• Phase boundary near a magnetic percolation transition
• Activated scaling in disorder rounded first-order quantum phase transitions
• Transverse-spin correlations of the random transverse-field Ising model
• Griffiths-McCoy singularities in random quantum spin chains: Exact results
• Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
• Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Distribution of dynamical quantities in the contact process, random walks, and quantum spin chains in random environments
• Multipartite Entanglement in the Random Ising Chain
• Griffiths phases in the strongly disordered Kondo necklace model
• Exact bounds on the energy gap of transverse-field Ising chains by mapping to random walks
• Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Simulation of the 1d XY model on a quantum computer
• Random-field-driven phase transitions in the ground state of the S=1 XXZ spin chain
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model
• Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
• Computing quantum phase transitions
• Phenomenological model for the remanent magnetization of dilute quasi-one-dimensional antiferromagnets
• Fermionic random transverse-field Ising spin chain
• Geometry of rare regions behind Griffiths singularities in random quantum magnets
• Random transverse and longitudinal field Ising chains
• Dynamic Scaling in Diluted Systems Phase Transitions: Deactivation trough Thermal Dilution
• Thermodynamic properties of the XX model in a chain with a period two and three coupling
• Disorder-protected topological entropy after a quantum quench
• Energy gap of quantum spin glasses: a projection quantum Monte Carlo study