Entanglement growth in diffusive systems

Žnidarič, Marko (avtor)

Entanglement helps in understanding diverse phenomena, going from quantifying complexity to classifying phases of matter. Here we study the influence of conservation laws on entanglement growth. Focusing on systems with U(1) symmetry, i.e., conservation of charge or magnetization, that exhibits diffusive dynamics, we theoretically predict the growth of entanglement, as quantified by the Rényi entropy, in lattice systems in any spatial dimension d and for any local Hilbert space dimension q (qudits). We find that the growth depends both on d and q, and is in generic case first linear in time, similarly as for systems without any conservation laws. Exception to this rule are chains of 2-level systems where the dependence is a square-root of time at all times. Predictions are numerically verified by simulations of diffusive Clifford circuits with upto ~ 10$^5$ qubits. Such efficiently simulable circuits should be a useful tool for other many-body problems.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, entanglement, statistical mechanics, condensed matter physics
• 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: 2020
• Št. strani: 9 str.
• Številčenje: Vol. 3, art. 100
• PID: 20.500.12556/RUL-128559
• UDK: 530.145
• ISSN pri članku: 2399-3650
• DOI: 10.1038/s42005-020-0366-7
• COBISS.SI-ID: 17689859
• Datum objave v RUL: 19.07.2021

Gradivo je del revije

• Naslov: Communications physics
• Skrajšan naslov: Commun. phys.
• Založnik: Springer Nature
• ISSN: 2399-3650
• COBISS.SI-ID: 2048602387

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.
• Začetek licenciranja: 01.06.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, prepletenost, statistična mehanika, fizika kondenzirane snovi

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J1-1698
• Naslov: Načrtovanje večdelčnega transporta

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika