Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths

DOI10.1007/s00023-023-01304-2arXiv2112.12747OpenAlexW4372349648MaRDI QIDQ6191482

Dimitrios Ampelogiannis, Benjamin Doyon

Publication date: 9 February 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12747

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Quantum field theory; related classical field theories (81Txx) Equilibrium statistical mechanics (82Bxx)

Related Items (1)

Almost everywhere ergodicity in quantum lattice models

Cites Work

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• Black holes and the butterfly effect
• Thermalization and pseudolocality in extended quantum systems
• Quantum spin systems on infinite lattices. A concise introduction
• Hydrodynamic limits of the Boltzmann equation
• On uniqueness of KmMS states of one-dimensional quantum lattice systems
• Hydrodynamical limit for a Hamiltonian system with weak noise
• Chaos in quantum channels
• A bound on chaos
• Out-of-time-order correlators in quantum mechanics
• On the local equivalence between the canonical and the microcanonical ensembles for quantum spin systems
• Diffusion and superdiffusion from hydrodynamic projections
• Hydrodynamic projections and the emergence of linearised Euler equations in one-dimensional isolated systems
• From discrete- to continuous-time ergodic theorems
• Normal typicality and von Neumann’s quantum ergodic theorem
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Conformal field theory out of equilibrium: a review
• Bergelson's theorem for weakly mixing C^*-dynamical systems
• Correlation functions and transport coefficients in generalised hydrodynamics
• The hydrodynamic theory of dynamical correlation functions in the XX chain
• Nonconventional ergodic theorems for quantum dynamical systems
• Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
• Some properties of correlations of quantum lattice systems in thermal equilibrium
• AN ERGODIC THEOREM FOR QUANTUM DIAGONAL MEASURES
• Entropy growth during free expansion of an ideal gas
• Almost everywhere ergodicity in quantum lattice models
• On the dynamics of dilute gases

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