Quasilocal conservation laws in the quantum Hirota model

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

The extensivity of the quantum Hirota model's conservation laws on a 1 + 1 dimensional lattice is considered. This model can be interpreted in terms of an integrable many-body quantum Floquet dynamics. We establish the procedure to generate a continuous family of quasilocal conservation laws from the conserved operators proposed by Faddeev and Volkov. The Hilbert–Schmidt kernel which allows the calculation of inner products of these new conservation laws is explicitly computed. This result has potential applications in quantum quench and transport problems in integrable quantum field theories.

• Language: English
• Keywords: quantum mechanics, conservation laws, integrable systems
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2017
• Number of pages: 19 str.
• Numbering: Vol. 50, art. no. 265203
• PID: 20.500.12556/RUL-94350
• UDC: 530.145
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/aa6e09
• COBISS.SI-ID: 3114596
• Publication date in RUL: 31.07.2017

Record is a part of a journal

• Title: Journal of physics : Mathematical and theoretical
• Shortened title: J. phys., A, Math. theor.
• Publisher: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 31.07.2017

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, ohranitveni zakoni, integrabilni sistemi

Projects

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