Superdiffusion in one-dimensional quantum lattice models

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

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.

• Jezik: Angleški jezik
• Ključne besede: quantum statistical mechanics, nonequilibrium statistical mechanics, diffusion
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2018
• Št. strani: Str. 230602-1-230602-6
• Številčenje: Vol. 121, iss. 23
• PID: 20.500.12556/RUL-105775
• UDK: 536.93
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.121.230602
• COBISS.SI-ID: 3275876
• Datum objave v RUL: 14.12.2018

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna statistična mehanika, neravnovesna statistična mehanika, difuzija

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES