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Exact nonequilibrium steady states of boundary-driven circuit with XYZ gates

Xin Zhang1,*, Tomaž Prosen2,3, and Vladislav Popkov2,4

  • *Contact author: xinzhang@iphy.ac.cn
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Phys. Rev. Research 8, 043064 – Published 16 October, 2026

DOI: https://doi.org/10.1103/2v8p-lyh5

Abstract

We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product ansatz. The ansatz has formally infinite bond dimension and generalizes authors’ previous construction [Popkov and Prosen, Phys. Rev. Lett. 135, 070401 (2025)] for the XXZ interactions. The boundary qubits are coupled to reset quantum channels that project them toward arbitrary pure target states. We find and describe a family of relatively robust separable chiral nonequilibrium steady states, which are elliptic analogs of spin helices for the circuit, and which are particularly attractive from an experimental perspective.

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Phys. Rev. Research 8, 043064– Published 16 October, 2026
  • Received 18 May 2026
  • Accepted 18 August 2026
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