Exact nonequilibrium steady state of $XXZ$ circuits boundary driven with arbitrary resets or fields

Popkov, Vladislav (avtor), Prosen, Tomaž (avtor)

We propose a 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 and incoherent driving. Analyzing the Ansatz, we obtain a family of relatively robust separable nonequilibrium steady states, which can be viewed as a circuit extension of spin-helix states and are particularly suited for experimental investigations.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, quantum circuits, open quantum systems
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: Str. 070401-1-070401-7
• Številčenje: Vol. 135, iss. 7
• PID: 20.500.12556/RUL-175241
• UDK: 530.145
• ISSN pri članku: 0031-9007
• DOI: 10.1103/31p7-lcgh
• COBISS.SI-ID: 254347267
• Datum objave v RUL: 22.10.2025

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, kvantna vezja, odprti kvantni sistemi