Quantum quenches in 1 + 1 dimensional conformal field theories

2016/03/09 by Pasquale Calabrese, John Cardy · 5 citations
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Entropy (arrow of time) #Field (mathematics) #Imaginary time #Mathematical analysis #Mathematics #Path integral formulation #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum dynamics #Quantum entanglement #Quantum field theory #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1742-5468/2016/06/064003

published as J. Stat. Mech. (2016) 064003 · 51 pages, 7 figures, review article for special issue of JSTAT on non-equilibrium dynamics in integrable systems; comments welcome!

arxiv created 2016/03/09 · openalex publication_date 2016/06/01 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract We review the imaginary time path integral approach to the quench dynamics of conformal field theories. We show how this technique can be applied to the determination of the time dependence of correlation functions and entanglement entropy for both global and local quenches. We also briefly review other quench protocols. We carefully discuss the limits of applicability of these results to realistic models of condensed matter and cold atoms.

Citations

• Identifying Local and Quasilocal Conserved Quantities in Integrable Systems
• Dynamical Phase Transitions as Properties of the Stationary State: Analytic Results after Quantum Quenches in the Spin-1/2 XXZ Chain
• Interaction quenches in the one-dimensional Bose gas
• Quasiparticle engineering and entanglement propagation in a quantum many-body system
• From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
• Spread of Correlations in Long-Range Interacting Quantum Systems
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Entanglement negativity after a global quantum quench
• Effect of Suddenly Turning on Interactions in the Luttinger Model
• Prethermalization in a Nonintegrable Quantum Spin Chain after a Quench
• Effective Thermal Dynamics Following a Quantum Quench in a Spin Chain
• Statistical Mechanics of theXYModel. I
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model
• Infinite conformal symmetry in two-dimensional quantum field theory
• Infinite-Time Average of Local Fields in an Integrable Quantum Field Theory After a Quantum Quench
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Constructing the Generalized Gibbs Ensemble after a Quantum Quench
• Bounds on the Speed of Information Propagation in Disordered Quantum Spin Chains
• Gauge-gravity duality and thermalization of a boost-invariant perfect fluid
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Excitations in two-component Bose gases
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Chaos and Quantum Thermalization
• Measuring Entanglement Growth in Quench Dynamics of Bosons in an Optical Lattice
• Entanglement negativity in the harmonic chain out of equilibrium
• Quench Dynamics of the Anisotropic Heisenberg Model
• Spin-charge separation in two-component Bose gases
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Interaction Quench in the Hubbard Model
• Quantum many-body systems out of equilibrium
• Quantum Quench in an Atomic One-Dimensional Ising Chain
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
• Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble
• Quantum statistical mechanics in a closed system
• Quench dynamics across quantum critical points
• Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
• Evolution of entanglement after a local quench
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Scaling of entanglement support for matrix product states
• Thermalization and pseudolocality in extended quantum systems
• Inhomogeneous field theory inside the arctic circle
• Inhomogeneous quenches in a free fermionic chain: Exact results
• Entanglement spreading after a geometric quench in quantum spin chains

Cited by

• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• Fine-grained dynamics of entanglement in non-integrable quenches far across the Ising quantum critical point
• Symmetry resolved entanglement entropy after an inhomogeneous quench
• Simulating spin systems with Majorana networks
• Integrability of one-dimensional Lindbladians from operator-space fragmentation