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Exact steady state of a one-end driven XXZ spin chain with boundary field

Vladislav Popkov1,2 and Tomaž Prosen1,3

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Phys. Rev. B 114, L140305 – Published 23 September, 2026

DOI: https://doi.org/10.1103/2cq3-66ny

Abstract

We find an exact nonequilibrium steady state of an open dissipatively driven XXZ spin-12 chain with source or sink spin bath at one end and an arbitrarily oriented boundary field at the other end.

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References (7)

  1. T. Prosen, Exact nonequilibrium steady state of a strongly driven open XXZ chain, Phys. Rev. Lett. 107, 137201 (2011).
  2. T. Prosen and E. Ilievski, Families of quasilocal conservation laws and quantum spin transport, Phys. Rev. Lett. 111, 057203 (2013).
  3. T. Prosen, Matrix product solutions of boundary driven quantum chains, J. Phys. A: Math. Theor. 48, 373001 (2015).
  4. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University, Cambridge, England, 1997).
  5. M. Yao, A. Lingenfelter, R. Belyansky, D. Roberts, and A. A. Clerk, Hidden time-reversal in driven XXZ spin chains: Exact solutions and new dissipative phase transitions, Phys. Rev. Lett. 134, 130404 (2025).
  6. D. Karevski, V. Popkov, and G. M. Schütz, Exact matrix product solution for the boundary-driven Lindblad XXZ chain, Phys. Rev. Lett. 110, 047201 (2013).
  7. N. Yamamoto, Parametrization of the feedback Hamiltonian realizing a pure steady state, Phys. Rev. A 72, 024104 (2005).

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Phys. Rev. B 114, L140305– Published 23 September, 2026
  • Received 13 May 2026
  • Accepted 17 August 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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