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Finite-temperature transport in one-dimensional quantum lattice models
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
Superdiffusion in spin chains
This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
We address the hydrodynamics of operator spreading in interacting integrable lattice
models. In these models, operators spread through the ballistic propagation of …
models. In these models, operators spread through the ballistic propagation of …
Hydrodynamic diffusion in integrable systems
We show that hydrodynamic diffusion is generically present in many-body, one-dimensional
interacting quantum and classical integrable models. We extend the recently developed …
interacting quantum and classical integrable models. We extend the recently developed …
Quasilocal charges in integrable lattice systems
We review recent progress in understanding the notion of locality in integrable quantum
lattice systems. The central concept concerns the so-called quasilocal conserved quantities …
lattice systems. The central concept concerns the so-called quasilocal conserved quantities …
Kinetic Theory of Spin Diffusion and Superdiffusion in Spin Chains
We address the nature of spin transport in the integrable XXZ spin chain, focusing on the
isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture based …
isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture based …
Diffusion in generalized hydrodynamics and quasiparticle scattering
We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …
integrable models developed in recent years, accounting for diffusive dynamics and local …
Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
We study high temperature spin transport in a disordered Heisenberg chain in the ergodic
regime. By employing a density matrix renormalization group technique for the study of the …
regime. By employing a density matrix renormalization group technique for the study of the …
Spin diffusion from an inhomogeneous quench in an integrable system
Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems
when prepared in generic inhomogeneous initial states. However, the ballistic contribution …
when prepared in generic inhomogeneous initial states. However, the ballistic contribution …