Exact nonequilibrium steady states of boundary driven circuit with XYZ gates

• URL: http://arxiv.org/abs/2605.17018v1
• Date: Sat, 16 May 2026 14:37:11 GMT
• Title: Exact nonequilibrium steady states of boundary driven circuit with XYZ gates
• Abstract summary: We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product Ansatz.<n>We find and describe a family of relatively robust separable chiral nonequilibrium steady states (NESS)
• Score: 3.0576471972016654
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 \cite{2025XXZcircuit} 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 (NESS), which are elliptic analogs of spin helices for the circuit, and which are particularly attractive from an experimental perspective.

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