Relevant out-of-time-order correlator operators: Footprints of the classical dynamics

Bergamasco, Pablo D.; Carlo, Gabriel G.; Rivas, Alejandro Mariano Fidel

doi:10.1103/physreve.102.052133

Cited by 5 publications

(1 citation statement)

References 31 publications

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“…The delocalization of information over a physical system, after which the information is inaccessible to the local measurements, is called information scrambling [1][2][3][4][5]. In an isolated quantum system, this spreading can be estimated by the entanglement entropy [6,7], tripartite mutual information [8] and out-of-time-ordered correlators (OTOC) [1,2,6,7].…”

Section: Introductionmentioning

confidence: 99%

Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators

Muruganandam¹,

Senthilvelan²

2021

Preprint

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We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs) of quasiperiodically forced nonlinear maps. We use instantaneous speed (IS) and finite-time Lyapunov exponents (FTLEs) to investigate the role of strange non-chaotic attractors (SNAs) on the spatial spread of the OTOC. We find that these CMLs exhibit a characteristic on and off type of spread of the OTOC for SNA. Further, we provide a broad spectrum of the various dynamical regimes in a two-parameter phase diagram using IS and FTLEs. We substantiate our results by confirming the presence of SNA using established tools and measures, namely the distribution of finite-time Lyapunov exponents, phase sensitivity, spectrum of partial Fourier sums, and 0 − 1 test.

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Section: Introductionmentioning

confidence: 99%

Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators

Muruganandam¹,

Senthilvelan²

2021

Preprint

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Commutators of random matrices from the unitary and orthogonal groups

Palheta

Barbosa

Novaes

2022

Journal of Mathematical Physics

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We investigate the statistical properties of C = uvu−1 v−1, when u and v are independent random matrices, uniformly distributed with respect to the Haar measure of the groups U( N) and O( N). An exact formula is derived for the average value of power sum symmetric functions of C, and also for products of the matrix elements of C, similar to Weingarten functions. The density of eigenvalues of C is shown to become constant in the large- N limit, and the first N−1 correction is found.

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