Dissipatively dressed quasiparticles in boundary-driven integrable spin chains

Popkov, Vladislav (author), Zhang, Xin (author), Presilla, Carlo (author), Prosen, Tomaž (author)

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted for by introducing quasiparticles with a renormalized—dissipatively dressed—dispersion relation. This allows us to evaluate the spectrum of the NESS in terms of the Bethe Ansatz equations for a related coherent system that has the same set of eigenstates, the so-called dissipation-projected Hamiltonian. We find explicit analytic expressions for the dressed energies of the XXX and XXZ models with effective, i.e., induced by the dissipation, diagonal boundary fields, which are U(1) invariant, as well as the XXZ and XYZ models with effective nondiagonal boundary fields. In all cases, the dissipative dressing generates an extra singularity in the dispersion relation, substantially altering the NESS spectrum with respect to the spectrum of the corresponding coherent model.

• Language: English
• Keywords: integrable systems, spin chains, open quantum systems
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2026
• Number of pages: Str. 032211-1-032211-15
• Numbering: Vol. 113, iss. 3
• PID: 20.500.12556/RUL-182826
• UDC: 530.145
• ISSN on article: 2469-9926
• DOI: 10.1103/2zbl-3twm
• COBISS.SI-ID: 279215875
• Publication date in RUL: 25.05.2026

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9926
• COBISS.SI-ID: 2996836

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.

Secondary language

• Language: Slovenian
• Keywords: integrabilni sistemi, spinske verige, odprti kvantni sistemi