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Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size $N$. We propose and investigate a family of deterministic, fast scrambling quantum circuits…

Quantum Physics · Physics 2022-02-24 Tomohiro Hashizume , Gregory Bentsen , Sebastian Weber , Andrew J. Daley

We investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that…

Strongly Correlated Electrons · Physics 2019-01-23 Max McGinley , Andreas Nunnenkamp , Johannes Knolle

Scrambling of quantum information is the process by which information initially stored in the local degrees of freedom of a quantum many-body system spreads over its many-body degrees of freedom, becoming inaccessible to local probes and…

Quantum Physics · Physics 2019-10-09 R. J. Lewis-Swan , A. Safavi-Naini , J. J. Bollinger , A. M. Rey

Non-KAM (Kolmogorov-Arnold-Moser) systems, when perturbed by weak time-dependent fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase space tori. In this work, we employ out-of-time-order correlators…

Chaotic Dynamics · Physics 2024-01-10 Naga Dileep Varikuti , Abinash Sahu , Arul Lakshminarayan , Vaibhav Madhok

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

High Energy Physics - Theory · Physics 2024-08-26 Paul Romatschke

Out-of-time-ordered correlators (OTOC) are a quantifier of quantum information scrambling and quantum chaos. We propose an efficient quantum algorithm to measure OTOCs that provides an exponential speed-up over the best known classical…

Quantum Physics · Physics 2021-03-17 Sreeram PG , Naga Dileep Varikuti , Vaibhav Madhok

The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh non-linear sigma model technique to calculate these correlators…

Disordered Systems and Neural Networks · Physics 2018-11-16 Yunxiang Liao , Victor Galitski

The out-of-time-ordered correlators (OTOC) and the Loschmidt echo are two measures that are now widely being explored to characterize sensitivity to perturbations and information scrambling in complex quantum systems. Studying few qubits…

Quantum Physics · Physics 2021-05-26 Sreeram PG , Vaibhav Madhok , Arul Lakshminarayan

We investigate the dynamics of information scrambling in bosonic systems undergoing Gaussian unitary evolution associated with quadratic Hamiltonians. For initial Gaussian states, we observe the disappearance of the memory effect in the…

Quantum Physics · Physics 2025-08-05 Ali Mollabashi , Saleh Rahimi-Keshari

We show that out-of-time-order correlators (OTOCs) constitute a probe for Local-Operator Entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful dynamical indicator of quantum chaos, while OTOC decay…

Quantum Physics · Physics 2023-11-06 Neil Dowling , Pavel Kos , Kavan Modi

Tripartite mutual information (TMI) is an efficient observable to quantify the ability of scrambler for unitary time-evolution operator with quenched many-body Hamiltonian. In this paper, we give numerical demonstrations of the TMI in…

Disordered Systems and Neural Networks · Physics 2022-09-13 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

We investigate the dynamical and spectral consequences of capacitance-network-mediated interactions in superconducting transmon arrays beyond effective nearest-neighbor descriptions. While weak coupling regimes are well captured by an…

Quantum Physics · Physics 2026-05-08 Carla Caro Villanova , Alan C. Santos

Classical chaotic systems exhibit exponentially diverging trajectories due to small differences in their initial state. The analogous diagnostic in quantum many-body systems is an exponential growth of out-of-time-ordered correlation…

Strongly Correlated Electrons · Physics 2020-03-06 Étienne Lantagne-Hurtubise , Stephan Plugge , Oguzhan Can , Marcel Franz

The time-dependence of multi-point observable correlation functions are essential quantities in analysis and simulation of quantum dynamics. Open quantum systems approaches utilize two-point correlations to describe the influence of an…

Quantum Physics · Physics 2025-10-27 Yoana R. Chorbadzhiyska , Peter A. Ivanov , Charlie Nation

Rhythmic phenomena, which are ubiquitous in biological systems, are typically modelled as systems of coupled limit cycle oscillators. Recently, there has been an increased interest in understanding the impact of higher-order interactions on…

Chaotic Dynamics · Physics 2026-03-19 Weiwei Su , Shigefumi Hata , Hiroshi Kori , Hiroya Nakao , Ryota Kobayashi

Out-of-time-ordered correlators (OTOCs) have emerged as powerful tools for diagnosing quantum chaos and information scrambling. While extensively studied in closed quantum systems, their behavior in dissipative environments remains less…

Quantum Physics · Physics 2025-03-06 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

We investigate the effect of kinetic constraints on classical many-body chaos in a translationally-invariant Heisenberg spin chain using a classical counterpart of the out-of-time-ordered correlator (OTOC). The strength of the constraint…

Statistical Mechanics · Physics 2022-11-02 Aydin Deger , Sthitadhi Roy , Achilleas Lazarides

We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are coupled by Heisenberg and Ising-Z models. We consider chaotic processes by using the kick irregularity in the…

Quantum Physics · Physics 2015-10-09 Lucile Aubourg , David Viennot

Is there a quantum many-body system that scrambles information as fast as a black hole? The Sachev-Ye-Kitaev model can saturate the conjectured bound for chaos, but it requires random all-to-all couplings of Majorana fermions that are hard…

Quantum Gases · Physics 2019-06-14 Ahmet Keles , Erhai Zhao , W. Vincent Liu

As a measure of information scrambling and quantum chaos, out-of-time-ordered correlator (OTOC) plays more and more important role in many different fields of physics. In this work, we verify that the OTOC can also be used as a prober of…

Quantum Physics · Physics 2019-12-18 Qian Wang , Francisco Pérez-Bernal