Integrability is generic in homogeneous U(1)-invariant nearest-neighbor qubit circuits

Žnidarič, Marko (avtor), Duh, Urban (avtor), Zadnik, Lenart (avtor)

Integrability is an exceptional property believed to hold only for systems with fine-tuned parameters. Contrary, we explicitly show that in homogeneous nearest-neighbor qubit circuits with a U(1) symmetry, i.e., circuits that repeatedly apply the same magnetization-conserving two-qubit gate, this is not the case. There, integrability is generic: All such brickwall qubit circuits are integrable, even with a randomly selected gate. We identify two phases with different conservation laws, transport properties, and strong zero edge modes. Experimentally important is the fact that varying any one of the parameters in the generic U(1) gate, one will typically cross the critical manifold that separates the two phases. Finally, we report on an unconventional time-reversal symmetry causing the system with open boundary conditions to be in the orthogonal class, while the one with periodic boundary conditions is in the unitary class.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, quantum circuits, integrability, quantum spin models, Floquet 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. L020302-1-L020302-6
• Številčenje: Vol. 112, iss. 2
• PID: 20.500.12556/RUL-175228
• UDK: 530.145
• ISSN pri članku: 2469-9950
• DOI: 10.1103/tqy8-ynpd
• COBISS.SI-ID: 254279683
• Datum objave v RUL: 22.10.2025

Gradivo je del revije

• Naslov: Physical review
• Založnik: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

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, integrabilnost, kvantni spinski modeli, Floquetovi sistemi