Quantum group symmetry enables superdiffusive hydrodynamic tails for transverse spin operators in chaotic XXZ-like models despite lacking local quantum group charges.
Castro-Alvaredo, B
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics. With experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent physics. Up to now, the strong dichotomy observed between integrable and non-integrable evolutions made an overarching theory difficult to build, especially for transport phenomena where space-time profiles are drastically different. We present a novel framework for studying transport in integrable systems: hydrodynamics with infinitely-many conservation laws. This bridges the conceptual gap between integrable and non-integrable quantum dynamics, and gives powerful tools for accurate studies of space-time profiles. We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying non-equilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.
citation-role summary
background 1
citation-polarity summary
years
2026 3roles
background 1polarities
background 1representative citing papers
A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
citing papers explorer
-
Hydrodynamic tails in chaotic spin chains with quantum group symmetry
Quantum group symmetry enables superdiffusive hydrodynamic tails for transverse spin operators in chaotic XXZ-like models despite lacking local quantum group charges.
-
Expectation values after an integrable boundary quantum quench
A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.
-
Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.