Ballistic spin transport in a periodically driven integrable quantum system

Ljubotina, Marko (author), Zadnik, Lenart (author), Prosen, Tomaž (author)

We demonstrate ballistic spin transport of an integrable unitary quantum circuit, which can be understood either as a paradigm of an integrable periodically driven (Floquet) spin chain, or as a Trotterized anisotropic (XXZ) Heisenberg spin-1/2 model. We construct an analytic family of quasi-local conservation laws that break the spin-reversal symmetry and compute a lower bound on the spin Drude weight which is found to be a fractal function of the anisotropy parameter. Extensive numerical simulations of spin transport suggest that this fractal lower bound is in fact tight.

• Language: English
• Keywords: quantum mechanics, quantum statistical mechanics, nonequilibrium statistical physics, ballistic transport, spin chains
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2019
• Number of pages: Str. 150605-1-150605-6
• Numbering: Vol. 122, iss. 15
• PID: 20.500.12556/RUL-107514
• UDC: 536.93
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.122.150605
• COBISS.SI-ID: 3303268
• Publication date in RUL: 23.04.2019

LJUBOTINA, Marko, ZADNIK, Lenart and PROSEN, Tomaž, 2019, Ballistic spin transport in a periodically driven integrable quantum system. Physical review letters [online]. 2019. Vol. 122, no. 15, p. 150605-1-150605–6. [Accessed 24 April 2025]. DOI 10.1103/PhysRevLett.122.150605. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=107514

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 mehanika, kvantna statistična mehanika, neravnovesna statistična fizika, balistični transport, spinske verige

Projects

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