Diffusive Heat Waves in Random Conformal Field Theory
arXiv:1807.10239 · doi:10.1103/PhysRevLett.122.020201
Abstract
We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain static random impurities. We present exact analytical results that elucidate how purely ballistic heat waves in standard CFT can acquire normal and anomalous diffusive contributions due to our impurities. Our results include impurity-averaged Green's functions describing the time evolution of the energy density and the heat current, and an explicit formula for the thermal conductivity that, in addition to a universal Drude peak, has a nontrivial real regular contribution that depends on details of the impurities.
arXiv comment5 pages + SM, RevTeX, 2 figures; reorganized version with minor updates; final published version
References in corpus (21)
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Hydrodynamic Diffusion in Integrable Systems
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Energy flow in non-equilibrium conformal field theory
- Super-diffusion in one-dimensional quantum lattice models
- Heat transport in low dimensions: introduction and phenomenology
- Non-equilibrium steady-states in conformal field theory
- Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
- Evolution operators in conformal field theories and conformal mappings: the entanglement Hamiltonian, the sine-square deformation, and others
- Sine-square deformation of solvable spin chains and conformal field theories
- Kinetic Limit for Wave Propagation in a Random Medium
- A hydrodynamic approach to non-equilibrium conformal field theories
- Finite-time universality in nonequilibrium CFT
- Interacting and noninteracting integrable systems
- Time evolution of the Luttinger model with nonuniform temperature profile
- Diffusion and signatures of localization in stochastic conformal field theory
- From a kinetic equation to a diffusion under an anomalous scaling
- Energy Diffusion in Harmonic System with Conservative Noise
- Temporal Diffusion
Cited by in corpus (28)
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Geometric approach to inhomogeneous Floquet systems
- Floquet conformal field theories with generally deformed Hamiltonians
- Inhomogeneous conformal field theory out of equilibrium
- Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
- Experimental Observation of Curved Light-Cones in a Quantum Field Simulator
- Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
- Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
- Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
- Deterministic chaos and fractal entropy scaling in Floquet CFT
- Quantum information geometry of driven CFTs
- Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
- Entanglement entropy growth in stochastic conformal field theory and the KPZ class
- Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
- Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
- Anisotropic Quantum Hall Droplets
- Exact Dirac-Bogoliubov-de Gennes Dynamics for Inhomogeneous Quantum Liquids
- Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
- Driven Non-Unitary Dynamics of Quantum Critical Systems
- Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
- Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
- Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
- Perfect Wave Transfer in Continuous Quantum Systems
- Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
- Electrostatic solution of massless quenches in Luttinger liquids