Spin diffusion from an inhomogeneous quench in an integrable system

Ljubotina, Marko (avtor), Žnidarič, Marko (avtor), Prosen, Tomaž (avtor)

Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional discrete symmetries. Here we perform large scale numerical simulations of spin dynamics in the anisotropic Heisenberg XXZ spin 1/2 chain starting from an inhomogeneous mixed initial state which is symmetric with respect to a combination of spin reversal and spatial reflection. In the isotropic and easy-axis regimes we find non-ballistic spin transport which we analyse in detail in terms of scaling exponents of the transported magnetization and scaling profiles of the spin density. While in the easy-axis regime we find accurate evidence of normal diffusion, the spin transport in the isotropic case is clearly super-diffusive, with the scaling exponent very close to 2/3, but with universal scaling dynamics which obeys the diffusion equation in nonlinearly scaled time.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, integrable systems, spin diffusion
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2017
• Št. strani: 6 str.
• Številčenje: Vol. 8, art. no. 16117
• PID: 20.500.12556/RUL-94366
• UDK: 530.145
• ISSN pri članku: 2041-1723
• DOI: 10.1038/ncomms16117
• COBISS.SI-ID: 3115108
• Datum objave v RUL: 09.08.2017

LJUBOTINA, Marko, ŽNIDARIČ, Marko in PROSEN, Tomaž, 2017, Spin diffusion from an inhomogeneous quench in an integrable system. Nature communications [na spletu]. 2017. Vol. 8, no. 16117. [Dostopano 7 april 2025]. DOI 10.1038/ncomms16117. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=94366

Gradivo je del revije

• Naslov: Nature communications
• Skrajšan naslov: Nat. Commun.
• Založnik: Nature Publishing Group
• ISSN: 2041-1723
• COBISS.SI-ID: 2315876

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
• Začetek licenciranja: 09.08.2017

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, integrabilni sistemi, spinska difuzija

Projekti

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