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  • Open Access

Dissipatively dressed quasiparticles in boundary-driven integrable spin chains

Vladislav Popkov1,2,*, Xin Zhang3,*, Carlo Presilla4,5, and Tomaž Prosen1,6

  • *These authors contributed equally to this work.
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Phys. Rev. A 113, 032211 – Published 16 March, 2026

DOI: https://doi.org/10.1103/2zbl-3twm

Abstract

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.

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Phys. Rev. A 113, 032211– Published 16 March, 2026
  • Received 26 August 2024
  • Revised 5 December 2025
  • Accepted 3 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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