Entanglement growth in diffusive systems

Povzetek

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.

Ključne besede

kvantna mehanika;prepletenost;statistična mehanika;fizika kondenzirane snovi;quantum mechanics;entanglement;statistical mechanics;condensed matter physics;

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	530.145
COBISS:	17689859
ISSN:	2399-3650
Št. ogledov:	310
Št. prenosov:	86
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	kvantna mehanika;prepletenost;statistična mehanika;fizika kondenzirane snovi;
Vrsta dela (COBISS):	Članek v reviji
Strani:	9 str.
Letnik:	ǂVol. ǂ3
Zvezek:	ǂart. no. ǂ100
Čas izdaje:	Jun. 2020
DOI:	10.1038/s42005-020-0366-7
ID:	13153729