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Related papers: Error-resilient Reversal of Quantum Chaotic Dynami…

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Recovering trajectories of quantum systems whose classical counterparts display chaotic behavior has been a subject that has received a lot of interest over the last decade. However, most of these studies have focused on driven and…

Quantum Physics · Physics 2007-07-12 M. J. Everitt

Uncovering the origin of the arrow of time remains a fundamental scientific challenge. Within the framework of statistical physics, this problem was inextricably associated with the second law of thermodynamics, which declares that entropy…

Quantum Physics · Physics 2018-02-27 G. B. Lesovik , I. A. Sadovskyy , M. V. Suslov , A. V. Lebedev , V. M. Vinokur

In closed generic many-body systems, unitary evolution disperses local quantum information into highly non-local objects, resulting in thermalization. Such a process is called information scrambling, whose swiftness is quantified by the…

Quantum Physics · Physics 2024-03-12 Pengfei Zhang , Zhenhua Yu

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

Scrambling, a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes, happens in generic chaotic quantum many-body systems, ranging from spin chains, to metals, even to black holes.…

Quantum Physics · Physics 2020-02-10 Shenglong Xu , Brian Swingle

Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution by Gaussian Unitary Ensemble (GUE) Hamiltonians…

High Energy Physics - Theory · Physics 2017-11-16 Jordan Cotler , Nicholas Hunter-Jones , Junyu Liu , Beni Yoshida

Out-of-time-ordered correlators (OTOCs) have been proposed as a tool to witness quantum information scrambling in many-body system dynamics. These correlators can be understood as averages over nonclassical multi-time quasi-probability…

Quantum Physics · Physics 2020-01-29 Razieh Mohseninia , José Raúl González Alonso , Justin Dressel

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law decaying interactions such as $R^{-\alpha}$, where $R$ is the distance. In such systems, the fast scrambling of quantum information or the…

Quantum Physics · Physics 2021-01-29 Tomotaka Kuwahara , Keiji Saito

Out-of-time-order correlation (OTOC) functions provide a powerful theoretical tool for diagnosing chaos and the scrambling of information in strongly-interacting, quantum systems. However, their direct and unambiguous experimental…

Quantum Physics · Physics 2019-01-16 Beni Yoshida , Norman Y. Yao

Quantum measurement is a process that involves the interaction between a quantum system and a macroscopic measurement apparatus containing many degrees of freedom. The photodetector is such an apparatus with many electrons interacting with…

Quantum Physics · Physics 2022-08-31 Yubao Liu , Haixing Miao , Yanbei Chen , Yiqiu Ma

Out-of-time-order correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular set-ups. However, it has been seen that this behavior is not…

The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC)…

Quantum Physics · Physics 2021-03-31 Jiaozi Wang , Giuliano Benenti , Giulio Casati , Wen-ge Wang

Understanding the footprints of chaos in quantum-many-body systems has been under debate for a long time. In this work, we study the echo dynamics of the Sherrington-Kirkpatrick (SK) model with transverse field under effective time…

Statistical Mechanics · Physics 2020-08-21 Silvia Pappalardi , Anatoli Polkovnikov , Alessandro Silva

The non-integrability of quantum systems, often associated with chaotic behavior, is a concept typically applied to cases with a high-dimensional Hilbert space Among different indicators signaling this behavior, the study of the long-time…

Information scrambling, which is the spread of local information through a system's many-body degrees of freedom, is an intrinsic feature of many-body dynamics. In quantum systems, the out-of-time-ordered correlator (OTOC) quantifies…

Quantum Physics · Physics 2022-03-09 Bhuvanesh Sundar , Andreas Elben , Lata Kh Joshi , Torsten V. Zache

We study various quantum quench processes induced by the M\"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space.…

High Energy Physics - Theory · Physics 2024-04-04 Kanato Goto , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka , Mao Tian Tan

Much recent work has been devoted to the study of information scrambling in quantum systems. In this paper, we study the long-time properties of the algebraic out-of-time-order-correlator ("$\mathcal{A}$-OTOC") and derive an analytical…

Quantum Physics · Physics 2024-05-29 Faidon Andreadakis , Emanuel Dallas , Paolo Zanardi

We study information scrambling, as diagnosed by the out-of-time order correlations (OTOCs), in a system of large spins collectively interacting via spatially inhomogeneous and incommensurate exchange couplings. The model is realisable in a…

Quantum Gases · Physics 2019-05-22 J. Marino , A. M. Rey

We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding…

High Energy Physics - Theory · Physics 2021-01-14 Jordan Cotler , Nicholas Hunter-Jones

Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting…

Strongly Correlated Electrons · Physics 2025-03-17 Rohit Mukherjee , Haoyu Guo , Keiran Lewellen , Debanjan Chowdhury