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Information scrambling refers to the phenomenon in which local quantum information in a many-body system becomes dispersed throughout the entire system under unitary evolution. It has been extensively studied in closed quantum systems,…

Quantum Physics · Physics 2025-04-17 Haolin Jiang , Pengfei Zhang

In closed quantum many-body systems, initially localized information spreads throughout the system and becomes highly complex. This phenomenon, known as information scrambling, is closely related to entropy growth and quantum…

Quantum Physics · Physics 2025-02-12 Yuke Zhang , Zeyu Liu , Shuo Zhang , Langxuan Chen , Pengfei Zhang

Out of time ordered correlator (OTOC) is recently introduced as a powerful diagnose for quantum chaos. To go beyond, here we present an analytical solution of OTOC for a non-chaotic many body localized (MBL) system, showing distinct feature…

Disordered Systems and Neural Networks · Physics 2016-08-30 Yu Chen

We study quench dynamics in the many-body Hilbert space using two isolated systems with a finite number of interacting particles: a paradigmatic model of randomly interacting bosons and a dynamical (clean) model of interacting spins-$1/2$.…

Statistical Mechanics · Physics 2019-06-05 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

Information scrambling, characterized by the out-of-time-ordered correlator (OTOC), has attracted much attention, as it sheds new light on chaotic dynamics in quantum many-body systems. The scale invariance, which appears near the quantum…

Statistical Mechanics · Physics 2019-06-19 Shunsuke Nakamura , Eiki Iyoda , Tetsuo Deguchi , Takahiro Sagawa

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

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

In classical dynamical systems, chaotic behavior is often associated with exponential sensitivity to initial conditions together with global phase-space structure. Translating this geometric concept to the strictly linear framework of…

Quantum Physics · Physics 2026-03-24 Stephen Wiggins

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

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

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 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

We study signatures of chaos in the quantum Lifshitz model through out-of-time ordered correlators (OTOC) of current operators. This model is a free scalar field theory with dynamical critical exponent $z=2$. It describes the quantum phase…

Strongly Correlated Electrons · Physics 2018-07-04 Eugeniu Plamadeala , Eduardo Fradkin

Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the…

High Energy Physics - Theory · Physics 2018-11-14 Mike Blake , Hyunseok Lee , Hong Liu

We address the question of the relevance of thermalization to the increase of correlations in the quench dynamics of an isolated system with a finite number of interacting bosons. Specifically, we study how, in the process of…

Statistical Mechanics · Physics 2019-01-16 Fausto Borgonovi , Felix M. Izrailev

Scrambling and thermalisation are topics of intense study in both condensed matter and high energy physics. Random unitary dynamics form a simple testing-ground for our theoretical understanding of these processes. In this work, we derive…

Quantum Physics · Physics 2021-10-29 Ewan McCulloch

The onset of quantum chaos in quantum field theory may be studied using out-of-time-order correlators at finite temperature. Recent work argued that a timescale logarithmic in the central charge emerged in the context of two-dimensional…

High Energy Physics - Theory · Physics 2019-01-02 Chang Liu , David A. Lowe

Understanding quantum chaos is of profound theoretical interest and carries significant implications for various applications, from condensed matter physics to quantum error correction. Recently, out-of-time ordered correlators (OTOCs) have…

Quantum Physics · Physics 2024-09-17 Naga Dileep Varikuti

The periodically modulated Bose-Hubbard dimer model offers an experimentally realizable and highly tunable platform for observing the scrambling of quantum information and the apparent thermalisation of isolated, interacting quantum…

Quantum Physics · Physics 2020-09-02 Ryan A. Kidd , Arghavan Safavi-Naini , Joel F. Corney

Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying quantum information transport, information scrambling and quantum chaos. In this work we show that such OTO correlator can also be used to dynamically…

Strongly Correlated Electrons · Physics 2018-07-05 Markus Heyl , Frank Pollmann , Balázs Dóra
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