On the absence of stationary currents

DOI10.1142/S0129055X20600119zbMath1471.82018arXiv2001.05093MaRDI QIDQ5156026

Sven Bachmann, Martin Fraas

Publication date: 14 October 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05093

zbMATH Keywords

Bloch's theoremmany-body indexstationary currents

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (1)

Derivation of Kubo's formula for disordered systems at zero temperature

Cites Work

• Automorphic equivalence within gapped phases of quantum lattice systems
• Lieb-Robinson bounds and the exponential clustering theorem
• Spectral gap and exponential decay of correlations
• Fredholm determinants and the statistics of charge transport
• Adiabatic response for Lindblad dynamics
• A many-body index for quantum charge transport
• A proof of the Bloch theorem for lattice models
• Two soluble models of an antiferromagnetic chain
• Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
• Locality in Quantum Systems
• Note on a Theorem of Bloch Concerning Possible Causes of Superconductivity

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