Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields

2025/02/10 by Vladislav Popkov, Popkov, Vladislav, Tomaž Prosen +1 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #FOS: Physical sciences #Mathematical Physics (math-ph) #Model Reduction and Neural Networks #Neural Networks and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2502.06731

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We propose spatially inhomogeneous matrix product ansatz for an exact many-body density operator of a boundary driven XXZ quantum circuit. The ansatz has formally infinite bond-dimension and is fundamentally different from previous constructions. The circuit is driven by a pair of reset quantum channels applied on the boundary qubits, which polarize the qubits to arbitrary pure target states. Moreover, one of the reset channels can be replaced by an arbitrary local unitary gate, thus representing a hybrid case with coherent/incoherent driving. Analyzing the ansatz we obtain a family of relatively robust separable nonequilibrium steady states (NESS), which can be viewed as a circuit extension of spin-helix states, and are particularly suited for experimental investigations.

Cited by

• Quantum i.i.d. Steady States in Open Many-Body Systems

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