Families of quasi-local conservation laws and quantum spin transport

Abstract

For fundamental integrable quantum chains with deformed symmetries we outline a general procedure for defining a continuous family of quasi-local operators whose time-derivative is supported near the two boundary sites only. The program is implemented for a spin 1/2 XXZ chain, resulting in improved rigorous estimates for the high temperature spin Drude weight.

4+eps pages in RevTex, with 1 pdf figure

References in corpus (10)

• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Dephasing and the steady state in quantum many-particle systems
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Thermal conductivity via magnetic excitations in spin-chain materials
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• The Luttinger liquid and integrable models
• Decay of currents for strong interactions

Cited by in corpus (183)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Finite-temperature transport in one-dimensional quantum lattice models
• Quasilocal charges in integrable lattice systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• "Light-cone" dynamics after quantum quenches in spin chains
• Solvable Hydrodynamics of Quantum Integrable Systems
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• Microscopic origin of ideal conductivity in integrable quantum models
• Hilbert Space Fragmentation and Commutant Algebras
• Conformal field theory out of equilibrium: a review
• What is an integrable quench?
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Super-diffusion in one-dimensional quantum lattice models
• Generalized Gibbs Ensembles for Quantum Field Theories
• Drude Weight for the Lieb-Liniger Bose Gas
• Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
• Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
• Superdiffusion in spin chains
• On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
• Spin-current autocorrelations from single pure-state propagation
• Matrix product solutions of boundary driven quantum chains
• Diffusive hydrodynamics from integrability breaking
• Ballistic spin transport in a periodically driven integrable quantum system
• Correlation functions and transport coefficients in generalised hydrodynamics
• The isolated Heisenberg magnet as a quantum time crystal
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Entanglement and quantum transport in integrable systems
• Exact Nonequilibrium Steady State of an Open Hubbard Chain
• Hydrodynamics of weak integrability breaking
• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
• Thermalization and pseudolocality in extended quantum systems
• String-charge duality in integrable lattice models
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Exactly conserved quasilocal operators for the XXZ spin chain
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Energy transport between two integrable spin chains
• Initial states in integrable quantum field theory quenches from an integral equation hierarchy
• Tensor-network method to simulate strongly interacting quantum thermal machines
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Pumping approximately integrable systems
• Exact anomalous current fluctuations in a deterministic interacting model
• Eigenstate thermalization hypothesis and integrals of motion
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Local and Quasilocal Conserved Quantities in Integrable Systems
• Energy transport in an integrable parafermionic chain via generalized hydrodynamics
• Exact solution for the quench dynamics of a nested integrable system
• Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
• Quasilocal conservation laws from semicyclic irreducible representations of $U_q({\mathfrak{sl}}_2)$ in $XXZ$ spin-$1/2$ chains
• Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Domain-wall melting as a probe of many-body localization
• Hydrodynamic projections and the emergence of linearised Euler equations in one-dimensional isolated systems
• Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
• Interacting and noninteracting integrable systems
• The spin Drude weight of the XXZ chain and generalized hydrodynamics
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Spin and thermal conductivity of quantum spin ladders
• Anomalous transport from hot quasiparticles in interacting spin chains
• Anomalous low-frequency conductivity in easy-plane XXZ spin chains
• Scaling of diffusion constants in the spin-1/2 XX ladder
• Generalized hydrodynamics: a perspective
• Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability
• Quantum metrology with non-equilibrium steady states of quantum spin chains
• Lower bounds on high-temperature diffusion constants from quadratically extensive almost conserved operators
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Integrable Matrix Models in Discrete Space-Time
• Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
• Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
• Solution of the Lindblad equation for spin helix states
• Integrable quenches in nested spin chains I: the exact steady states
• Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
• A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Free fermions at the edge of interacting systems
• Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Infinitely dimensional Lax structure for one-dimensional Hubbard model
• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Diffusion and superdiffusion from hydrodynamic projections
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Local conservation laws in spin-1/2 XY chains with open boundary conditions
• Anomalous nonequilibrium current fluctuations in the Heisenberg model
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Transport in one-dimensional integrable quantum systems
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Phantom Bethe roots in the integrable open spin $1/2$ $XXZ$ chain
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Diffusion constants from the recursion method
• Revealing missing charges with generalised quantum fluctuation relations
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Anomalous and regular transport in spin 1/2 chains: AC conductivity
• Quantum group approach to steady states of boundary-driven open quantum systems
• Superdiffusion from nonabelian symmetries in nearly integrable systems
• Finite temperature dynamics in gapped 1D models in the sine-Gordon family
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Charge diffusion in the one-dimensional Hubbard model
• Absence of high-temperature ballistic transport in the spin-$1/2$ $XXX$ chain within the grand-canonical ensemble
• Flux quench in a system of interacting spinless fermions in one dimension
• Thermodynamics and fractal Drude weights in the sine-Gordon model
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Quantum quenches, linear response and superfluidity out of equilibrium
• Spin and magnetothermal transport in the S = 1/2 XXZ chain
• Spin diffusion in perturbed isotropic Heisenberg spin chain
• Coexistence of diffusive and ballistic transport in integrable quantum lattice models
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
• Popcorn Drude weights from quantum symmetry
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• Correlation and entanglement spreading in nested spin chains
• Integrability breaking in the Rule 54 cellular automaton
• The equilibrium landscape of the Heisenberg spin chain
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Hydrodynamic relaxation of spin helices
• Domain wall melting in spin-1 chains
• Ballistic transport in integrable quantum chains with degenerate spectra
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Multiple relaxation times in perturbed XXZ chain
• Analytical results for the low-temperature Drude weight of the XXZ spin chain
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• Strongly correlated non-equilibrium steady states with currents --- quantum and classical picture
• Transport and spectral properties of the XX$+$XXZ diode and stability to dephasing
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Exact time evolution formulae in the XXZ spin chain with domain wall initial state
• Finite-size anomalies of the Drude weight: role of symmetries and ensembles
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• Relaxation of dynamically prepared out-of-equilibrium initial states within and beyond linear response theory
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
• Subdiffusive transport in the Fredkin dynamical universality class
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
• Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields
• Energy and particle currents in a driven integrable system
• Dynamical separation of charge and energy transport in one-dimensional Mott insulators
• Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
• Non-linear Transport by Bethe Bound States
• Rational Q-systems at Root of Unity I. Closed Chains
• Finding local integrals of motion in quantum lattice models in the thermodynamic limit
• Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains
• Nonequilibrium physics in integrable systems and spin-flip non-invariant conserved quantities
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Spin Drude weight for the integrable XXZ chain with arbitrary spin
• Anomalous charge transport in the sine-Gordon model
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Thermal Drude weight in an integrable chiral clock model
• Exact steady states of the impurity-doped XXZ spin chain coupled to dissipators
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Closed dynamical recursion equations for correlation functions and the application on the construction of Liouvillian spectrum in Lindbladian systems
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• On the Q operator and the spectrum of the XXZ model at root of unity
• Analogs of deconfined quantum criticality for non-invertible symmetry breaking in 1d
• Theoretical study on thermalization in isolated quantum systems
• Absence of local conserved charges of the Fredkin spin chain and its truncated versions
• Non-integrable fermionic chains near criticality