Superdiffusion in one-dimensional quantum lattice models

Ilievski, Enej (author), De Nardis, Jacopo (author), Medenjak, Marko (author), Prosen, Tomaž (author)

We identify a class of one-dimensional spin and fermionic lattice models which display diverging spin and charge diffusion constants, including several paradigmatic models of exactly solvable strongly correlated many-body dynamics such as the isotropic Heisenberg spin chains, the FermiHubbard model, and the t-J model at the integrable point. Using the hydrodynamic transport theory, we derive an analytic lower bound on the spin and charge diffusion constants by calculating the curvature of the corresponding Drude weights at half filling, and demonstrate that for certain lattice models with isotropic interactions some of the Noether charges exhibit super-diffusive transport at finite temperature and half filling.

• Language: English
• Keywords: quantum statistical mechanics, nonequilibrium statistical mechanics, diffusion
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: Str. 230602-1-230602-6
• Numbering: Vol. 121, iss. 23
• PID: 20.500.12556/RUL-105775
• UDC: 536.93
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.121.230602
• COBISS.SI-ID: 3275876
• Publication date in RUL: 14.12.2018

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: kvantna statistična mehanika, neravnovesna statistična mehanika, difuzija

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES