Kibble-Zurek mechanism in the Ising Field Theory

Abstract

The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the critical point can be crossed in different directions in the two-dimensional coupling space leading to different scaling laws. Using the Truncated Conformal Space Approach, we investigate the microscopic details of the Kibble-Zurek mechanism in a genuinely interacting field theory. We demonstrate dynamical scaling in the non-adiabatic time window and provide analytic and numerical evidence for specific scaling properties of various quantities, including higher cumulants of the excess heat.

arXiv comment29+18 pages, 13+3 figures

References in corpus (95)

• Nonequilibrium dynamics of closed interacting quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Cosmological Experiments in Condensed Matter Systems
• Dynamics of a Quantum Phase Transition
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Universal adiabatic dynamics across a quantum critical point
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• 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''
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Quench dynamics near a quantum critical point
• Defect production in non-linear quench across a quantum critical point
• Emergence of coherence and the dynamics of quantum phase transitions
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Quantum Quench of an Atomic Mott Insulator
• Entropy and Correlation Functions of a Driven Quantum Spin Chain
• Nonthermal states arising from confinement in one and two dimensions
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Quantum quenches in a spinor condensate
• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
• Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theories
• A Cheap Alternative to the Lattice?
• The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Dynamics after a sweep through a quantum critical point
• Beyond the Quantum Adiabatic Approximation: Adiabatic Perturbation Theory
• Dynamics in the Ising field theory after a quantum quench
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• Signatures of rare states and thermalization in a theory with confinement
• Observation of scaling in the dynamics of a strongly quenched quantum gas
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Universal nonequilibrium quantum dynamics in imaginary time
• Quantum Quench across a Holographic Critical Point
• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality
• Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
• Universal scaling in fast quantum quenches in conformal field theories
• Hamiltonian truncation approach to quenches in the Ising field theory
• Quenching along a gapless line: A different exponent for defect density
• Quench dynamics near a quantum critical point: application to the sine-Gordon model
• Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
• A Numerical Renormalization Group for Continuum One-Dimensional Systems
• Space-time renormalization in phase transition dynamics
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• Initial states in integrable quantum field theory quenches from an integral equation hierarchy
• Decay of particles above threshold in the Ising field theory with magnetic field
• Quantum Quench Across a Zero Temperature Holographic Superfluid Transition
• Overlaps after quantum quenches in the sine-Gordon model
• Work distribution and edge singularities for generic time-dependent protocols in extended systems
• Universality in fast quantum quenches
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Symmetry breaking bias and the dynamics of a quantum phase transition
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
• Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
• Work statistics across a quantum phase transition
• Smooth and fast versus instantaneous quenches in quantum field theory
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
• Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
• One-point functions in massive integrable QFT with boundaries
• Quench dynamics of the Ising field theory in a magnetic field
• Excited state TBA and renormalized TCSA in the scaling Potts model
• Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
• Critical quench dynamics in confined systems
• Sonic horizons and causality in the phase transition dynamics
• Truncated Hilbert space approach to the 2d ${\varphi }^4$ theory
• Quantum Quench and Scaling of Entanglement Entropy
• Energy Level Distribution of Perturbed Conformal Field Theories
• Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
• Studying the Perturbed Wess-Zumino-Novikov-Witten SU(2)k Theory Using the Truncated Conformal Spectrum Approach
• Universal energy distribution of quasi-particles emitted in a local time dependent quench
• Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten $SU(2{)}_k$ Models
• Confinement in the q-state Potts model: an RG-TCSA study
• Quantum Quench and Double Trace Couplings
• Scaling properties of work fluctuations after quenches at quantum transitions
• An exactly solvable quench protocol for integrable spin models
• Activating critical exponent spectra with a slow drive
• Perturbative post-quench overlaps in Quantum Field Theory
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• One-point functions in finite volume/temperature: a case study
• Kibble-Zurek scaling in holography
• Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions
• Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings

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• Universal scaling of work statistics for quantum quenches
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
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• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
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