Dynamics of a quantum phase transition in the random Ising model

Abstract

A quantum phase transition from paramagnetic to ferromagnetic phase is driven by a time-dependent external magnetic field. For any rate of the transition the evolution is non-adiabatic and finite density of defects is excited in the ferromagnetic state. The density of excitations has only logarithmic dependence on the transition rate. This is much weaker than any usual power law scaling predicted for pure systems by the Kibble-Zurek mechanism.

4 pages and 2 figures; improved presentation

References in corpus (2)

• Universal adiabatic dynamics across a quantum critical point
• Entropy and Correlation Functions of a Driven Quantum Spin Chain

Cited by in corpus (81)

• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Quantum Quenches in Extended Systems
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Defect production in non-linear quench across a quantum critical point
• Exact results for quench dynamics and defect production in a two-dimensional model
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Quantum Annealing: An Overview
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• First Order Quantum Phase Transition in Adiabatic Quantum Computation
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Quenching along a gapless line: A different exponent for defect density
• Variational Neural Annealing
• Speeding up critical system dynamics through optimized evolution
• Defect production due to quenching through a multicritical point
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Dynamics of an inhomogeneous quantum phase transition
• Theory of defect production in nonlinear quench across a quantum critical point
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
• Sonic horizons and causality in the phase transition dynamics
• Breakdown of adiabaticity when loading ultra-cold atoms in optical lattices
• Anomalous non-ergodic scaling in adiabatic multicritical quantum quenches
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Dynamics of a quantum phase transition in the Aubry-André-Harper model with $p$-wave superconductivity
• Near-adiabatic parameter changes in correlated systems: Influence of the ramp protocol on the excitation energy
• The fate of dynamical many-body localization in the presence of disorder
• Cooling dynamics of pure and random Ising chains
• Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
• On the optimal working point in dissipative quantum annealing
• Quantum annealing speedup over simulated annealing on random Ising chains
• An exactly solvable quench protocol for integrable spin models
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Reverse quenching in a one-dimensional Kitaev model
• Dynamics of a quantum phase transition with decoherence: the quantum Ising chain in a static spin environment
• Topological and dynamical properties of a generalized cluster model in one dimension
• Benchmarking quantum annealing dynamics: the spin-vector Langevin model
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• A view on the open STIRAP problem
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Adiabatic dynamics in passage across quantum critical lines and gapless phases
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• Quantum annealing of pure and random Ising chains coupled to a bosonic environment
• Driven-dissipative ising model: mean field solution
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• On the dynamics of Simulated Quantum Annealing in random Ising chains
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
• Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
• Quantum annealing speedup of embedded problems via suppression of Griffiths singularities
• Sampling diverse near-optimal solutions via algorithmic quantum annealing
• Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
• Dynamics of dissipative topological defects in coupled phase oscillators
• On model reduction for quantum dynamics: symmetries and invariant subspaces
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
• Exact bounds on the energy gap of transverse-field Ising chains by mapping to random walks
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Defect production due to quenching through a multicritical point and along a gapless line
• Nonequilibrium Dynamics of Ultracold Fermi Superfluids
• Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
• Quench in 1D Bose-Hubbard Model: Topological Defects and Excitations from Kosterlitz-Thouless Phase Transition Dynamics
• Defects in Quantum Computers
• Time-dependent Real-space Renormalization-Group Approach: application to an adiabatic random quantum Ising model
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators