Disorder chaos in spin glasses

Abstract

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all cases, simple scaling laws, involving the size of the system and the strength of the perturbation, are obeyed. We characterize in detail the distribution of overlap between ground states and the geometrical properties of flipped spin clusters in both the weak and strong chaos regime. The possible relevance of these results to temperature chaos is discussed.

7 pages, 8 figures, replaced with accepted version

References in corpus (30)

• The Bethe lattice spin glass revisited
• Memory and Chaos Effects in Spin Glasses
• Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A Numerical Study
• Nature of the Spin Glass State
• Spin and link overlaps in 3-dimensional spin glasses
• Separation of time and length scales in spin-glasses: temperature as a microscope
• Spin Glasses: A Ghost Story
• The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations
• Symmetrical Temperature-Chaos Effect with Positive and Negative Temperature Shifts in a Spin Glass
• Multiple Domain Growth and Memory in the Droplet Model for Spin-Glasses
• Evidences Against Temperature Chaos in Mean Field and Realistic Spin Glasses
• Chaos and Universality in a Four-Dimensional Spin Glass
• The stiffness exponent of two-dimensional Ising spin glasses for non-periodic boundary conditions using aspect-ratio scaling
• Renormalization for Discrete Optimization
• Chaos in a Two-Dimensional Ising Spin Glass
• Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder
• Why temperature chaos in spin glasses is hard to observe
• Chaotic temperature dependence in a model of spin glasses
• Fragility of the Free-Energy Landscape of a Directed Polymer in Random Media
• Trivial Ground State Structure in the Two-Dimensional Ising Spin Glass
• Temperature Cycles in the Heisenberg Spin Glass
• Chaotic, memory and cooling rate effects in spin glasses: Is the Edwards-Anderson model a good spin glass?
• Temperature and Disorder Chaos in Low Dimensional Directed Paths
• Chaos and residual correlations in pinned disordered systems
• Deviations from Perfect Memory in Spin Glass Temperature Cycling Experiments
• Large-scale low-energy excitations in 3-d spin glasses
• Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses
• Non-compact local excitations in spin glasses
• Reply to the Comment on `Symmetrical Temperature-Chaos effect with Positive and Negative Temperature Shifts in a Spin Glass'
• Local excitations in mean field spin glasses

Cited by in corpus (29)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
• Unraveling Quantum Annealers using Classical Hardness
• Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed p-spin models
• Thermalization, freeze-out and noise: deciphering experimental quantum annealers
• Analog Errors in Ising Machines
• Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model
• High q-State Clock Spin Glasses in Three Dimensions and the Lyapunov Exponents of Chaotic Phases and Chaotic Phase Boundaries
• Overfrustrated and Underfrustrated Spin-Glasses in d=3 and 2: Evolution of Phase Diagrams and Chaos Including Spin-Glass Order in d=2
• Bond chaos in spin glasses revealed through thermal boundary conditions
• Domain walls and chaos in the disordered SOS model
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Learning a Local Symmetry with Neural-Networks
• Step-wise responses in mesoscopic glassy systems: a mean field approach
• Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems
• Bond chaos in the Sherrington-Kirkpatrick model
• Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
• Chaotic temperature and bond dependence of four-dimensional Gaussian spin glasses with partial thermal boundary conditions
• Persistence and Memory in Patchwork Dynamics for Glassy Models
• Unlearnable Games and "Satisficing'' Decisions: A Simple Model for a Complex World
• Ground State Stability and the Nature of the Spin Glass Phase
• A new spin on optimal portfolios and ecological equilibria
• Chaos properties of the one-dimensional long-range Ising spin-glass
• Instability of the ferromagnetic phase under random fields in an Ising spin glass with correlated disorder
• Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound
• Aging, memory and rejuvenation: some lessons from simple models
• A Relation between Disorder Chaos and Incongruent States in Spin Glasses on ${\mathbb{Z}}^d$
• Controlling the Glass Transition through Active Fluctuating Interactions
• Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices