Dissipatively dressed quasiparticles in boundary driven integrable spin chains

• URL: http://arxiv.org/abs/2505.16776v1
• Date: Thu, 22 May 2025 15:18:41 GMT
• Title: Dissipatively dressed quasiparticles in boundary driven integrable spin chains
• Authors: Vladislav Popkov, Xin Zhang, Carlo Presilla, Tomaž Prosen,
• Abstract summary: We evaluate the spectrum of the NESS in terms of the Bethe ansatz equations for a related coherent system.<n>We find explicit analytic expressions for the dressed singularity of the energies of the XXX and XXZ models.
• Score: 1.995329933855084
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted 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 which 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 non-diagonal 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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