Operator entanglement in local quantum circuits

Bruno Bertini (Avtor), Pavel Kos (Avtor), Tomaž Prosen (Avtor)

Povzetek

The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been proposed as dynamical chaos indicator, i.e. as a quantity able to discriminate between quantum systems with integrable and chaotic dynamics. For chaotic systems the local-operator entanglement is expected to grow linearly in time, while it is expected to grow at most logarithmically in the integrable case. Here we study local-operator entanglement in dual-unitary quantum circuits, a class of "statistically solvable" quantum circuits that we recently introduced. We identify a class of "completely chaotic" dual-unitary circuits where the local-operator entanglement grows linearly and we provide a conjecture for its asymptotic behaviour which is in excellent agreement with the numerical results. Interestingly, our conjecture also predicts a "phase transition" in the slope of the local-operator entanglement when varying the parameters of the circuits.

Ključne besede

kvantna prepletenost;kvantni kaos;večdelčni sistemi;entanglement;quantum chaos;quantum many-body systems;

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:	14721795
ISSN:	2542-4653
Št. ogledov:	695
Št. prenosov:	264
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	kvantna prepletenost;kvantni kaos;večdelčni sistemi;
Strani:	28 str.
Letnik:	ǂVol. ǂ8
Zvezek:	ǂart. no. ǂ067
Čas izdaje:	Apr. 2020
DOI:	10.21468/SciPostPhys.8.4.067
ID:	11670866