Work

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

Year: 2026

Type: article

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, ] 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.

Source: Physical Review Research

DOI: 10.1103/2v8p-lyh5

Authors: Xin Zhang, Tomaž Prosen, Vladislav Popkov

Institutions: Chinese Academy of Sciences, Institute of Physics, University of Ljubljana, Institute of Mathematics, Physics, and Mechanics, University of Wuppertal

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Javna Agencija za Raziskovalno Dejavnost RS, European Research Council