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

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 14721795 Link will open in a new window
ISSN: 2542-4653
Views: 695
Downloads: 264
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna prepletenost;kvantni kaos;večdelčni sistemi;
Pages: 28 str.
Volume: ǂVol. ǂ8
Issue: ǂart. no. ǂ067
Chronology: Apr. 2020
DOI: 10.21468/SciPostPhys.8.4.067
ID: 11670866