Non-Equilibrium Conformal Field Theories with Impurities

Abstract

We present a construction of non-equilibrium steady states within conformal field theory. These states sustain energy flows between two quantum systems, initially prepared at different temperatures, whose dynamical properties are represented by two, possibly different, conformal field theories connected through an impurity. This construction relies on a real time formulation of conformal defect dynamics based on a field scattering picture parallelizing - but yet different from - the Euclidean formulation. We present the basic characteristics of this formulation and give an algebraic construction of the real time scattering maps that we illustrate in the case of SU(2)-based conformal field theories.

arXiv comment12 pages + references, 1 figure. Published version

References in corpus (23)

• Shot Noise in Mesoscopic Conductors
• Counting statistics of single-electron transport in a quantum dot
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Generalised twisted partition functions
• Quantum limit of heat flow across a single electronic channel
• Diffusion and ballistic transport in one-dimensional quantum systems
• Integrability and ideal conductance at finite temperatures
• Current measurement by real-time counting of single electrons
• Observation of Quantized Conductance in Neutral Matter
• Fluctuation theorem for currents in open quantum systems
• Energy flow in non-equilibrium conformal field theory
• Topological defects for the free boson CFT
• Reflection and Transmission for Conformal Defects
• Fusion of conformal interfaces
• Nonequilibrium thermal transport and its relation to linear response
• Non-equilibrium steady-states in conformal field theory
• Entropy production in quantum spin systems
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Invertible defects and isomorphisms of rational CFTs
• Full counting statistics of Luttinger liquid conductor
• Luttinger Liquid in Non-equilibrium Steady State
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• An introduction to bosonization

Cited by in corpus (29)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Conformal field theory out of equilibrium: a review
• Lecture notes on Generalised Hydrodynamics
• Dynamics of hard rods with initial domain wall state
• Inhomogeneous quenches in a fermionic chain: exact results
• Entanglement negativity and entropy in non-equilibrium conformal field theory
• Energy transport between two integrable spin chains
• Equilibration Properties of Classical Integrable Field Theories
• Energy transport in an integrable parafermionic chain via generalized hydrodynamics
• The Folded Spin-1/2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges
• Inhomogeneous conformal field theory out of equilibrium
• Non-equilibrium quantum transport in presence of a defect: the non-interacting case
• Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• Energy Transport for Thick Holographic Branes
• Steady States of Holographic Interfaces
• Transport through interacting defects and lack of thermalisation
• Reflection and transmission of conformal perturbation defects
• Global Quenches after Localised Perturbations
• Nonequilibrium transport through quantum-wire junctions and boundary defects for free massless bosonic fields
• Full counting statistics in the free Dirac theory
• On the Hydrodynamics of Unstable Excitations
• Quench dynamics of noninteracting fermions with a delta impurity
• Stationary time correlations for fermions after a quench in the presence of an impurity
• Non-equilibrium current cumulants and moments with a point-like defect
• Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
• Energy transport between critical one-dimensional systems with different central charges
• Black brane steady states
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures