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Study how quantum information propagates through spacetime manifold provides a means of identifying, distinguishing, and classifying novel phases of matter fertilized by many-body effects in strongly interacting systems in and out of…

Disordered Systems and Neural Networks · Physics 2022-09-21 Chun Chen , Xiaoqun Wang , Yan Chen

In this article, we study the scrambling dynamics in supersymmetric quantum mechanical systems. The eigenstate representation of such supersymmetric systems allows us to present an explicit form of the $2N$-point out-of-time-order…

Quantum Physics · Physics 2024-07-24 Rathindra Nath Das , Sourav Dutta , Archana Maji

The fully frustrated ladder - a quasi-1D geometrically frustrated spin one half Heisenberg model - is non-integrable with local conserved quantities on rungs of the ladder, inducing the fragmentation of the Hilbert space into sectors…

Statistical Mechanics · Physics 2021-10-13 Dominik Hahn , Paul A. McClarty , David J. Luitz

Quantum small-worlds are quantum many-body systems that interpolate between completely ordered (nearest-neighbour, next-to-nearest-neighbour etc.) and completely random interactions. As such, they furnish a novel new laboratory to study…

High Energy Physics - Theory · Physics 2019-01-16 Jean-Gabriel Hartmann , Jeff Murugan , Jonathan P. Shock

Out-of-time-order correlators (OTOC) are considered to be a promising tool to characterize chaos in quantum systems. In this paper we study OTOC in XY model. With the presence of anisotropic parameter $\gamma$ and external magnetic field…

Statistical Mechanics · Physics 2020-08-26 Jiahui Bao , Cheng-Yong Zhang

Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in interacting quantum systems. They exhibit a characteristic classical exponential growth, but saturate beyond the so-called scrambling or Ehrenfest…

Statistical Mechanics · Physics 2018-09-25 Josef Rammensee , Juan-Diego Urbina , Klaus Richter

Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

Statistical Mechanics · Physics 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

Out-of time-ordered correlators (OTOC) have recently attracted significant attention from the physics of many-body systems, to quantum black-holes, with an exponential growth of the OTOC indicating quantum chaos. Here we consider OTOC in…

Quantum Physics · Physics 2019-07-03 Sivaprasad Omanakuttan , Arul Lakshminarayan

For the characterization of the dynamics in quantum many-body systems the question how information spreads and becomes distributed over the constituent degrees of freedom is of fundamental interest. The delocalization of information under…

Strongly Correlated Electrons · Physics 2019-12-12 Oskar Schnaack , Niklas Bölter , Sebastian Paeckel , Salvatore R. Manmana , Stefan Kehrein , Markus Schmitt

In a fast scrambling many-body quantum system, information is spread and entanglement is built up on a timescale that grows logarithmically with the system size. This is of fundamental interest in understanding the dynamics of many-body…

Quantum Physics · Physics 2023-09-07 Sridevi Kuriyattil , Tomohiro Hashizume , Gregory Bentsen , Andrew J. Daley

We propose and analyze a protocol to study quantum information scrambling using statistical correlations between measurements, which are performed after evolving a quantum system from randomized initial states. We prove that the resulting…

Quantum Physics · Physics 2019-07-03 Benoît Vermersch , Andreas Elben , Lukas M. Sieberer , Norman Y. Yao , Peter Zoller

We study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment at a rate $p$. As a result, initially localized quantum information not only spreads within the system, but also spills into the…

Quantum Physics · Physics 2023-12-05 Zack Weinstein , Shane P. Kelly , Jamir Marino , Ehud Altman

Dynamical systems can be analyzed as computational devices capable of performing information processing. In coupled oscillators, enlarged capabilities are expected when the set of units is formed by subsets with collective behaviour within…

Adaptation and Self-Organizing Systems · Physics 2025-06-24 Ernesto Estevez-Rams , K. Garcia-Medina , B. Aragon-Fernandez

Out-of-time-ordered correlators (OTOCs), defined via the squared commutator of a time-evolving and a stationary operator, represent observables that provide useful indicators for chaos and the scrambling of information in complex quantum…

Quantum Physics · Physics 2024-10-10 Thomas R. Michel , Juan Diego Urbina , Peter Schlagheck

Experimental systems with power-law interactions have recently garnered interest as promising platforms for quantum information processing. Such systems are capable of spreading entanglement superballistically and achieving an asymptotic…

Quantum Physics · Physics 2024-02-16 Andrew Y. Guo , Jeremy T. Young , Ron Belyansky , Przemyslaw Bienias , Alexey V. Gorshkov

Generic systems are associated with a mixed classical phase space.The question of the properties of the eigenstates for these systems remains less known, although it plays a key role for understanding several important quantum phenomena…

Quantum Physics · Physics 2025-03-04 Qian Wang , Marko Robnik

Previous studies show that, in quantum chaotic and integrable systems, the so-called out-of-time-ordered correlator (OTOC) generically behaves differently at long times, while, it may show similar early growth in one-body systems. In this…

Statistical Mechanics · Physics 2022-01-19 Hua Yan , Jiaozi Wang , Wen-ge Wang

Out-of-time ordered correlators are a probe of how the information of an initial perturbation is effectively scrambled under unitary time evolution, widely used to study quantum chaos. They have also been used to demonstrate that…

Statistical Mechanics · Physics 2026-05-07 Dominik Szpara , Szczepan Głodzik , Nicholas Sedlmayr

We investigate the typicality of the growth behavior of the out-of-time-ordered commutator (OTOC) in the many-body localized (MBL) quantum spin chains across random disorder realizations. In the MBL phase of the Heisenberg XXZ chain, we…

Strongly Correlated Electrons · Physics 2019-06-04 J. Lee , D. Kim , D. -H. Kim

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

Quantum Physics · Physics 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr