Exact nonequilibrium steady states of boundary driven circuit with XYZ gates
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914572492865536 |
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| author | Zhang, Xin Prosen, Tomaz Popkov, Vladislav |
| author_facet | Zhang, Xin Prosen, Tomaz Popkov, Vladislav |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17018 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exact nonequilibrium steady states of boundary driven circuit with XYZ gates Zhang, Xin Prosen, Tomaz Popkov, Vladislav Quantum Physics Statistical Mechanics Mathematical Physics 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. |
| title | Exact nonequilibrium steady states of boundary driven circuit with XYZ gates |
| topic | Quantum Physics Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2605.17018 |