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The vast majority of dynamical systems in classical physics are chaotic and exhibit the butterfly effect: a minute change in initial conditions can soon have exponentially large effects elsewhere. But this phenomenon is difficult to…

量子物理 · 物理学 2020-07-06 Efim B. Rozenbaum , Leonid A. Bunimovich , Victor Galitski

Controllable arrays of ions and ultra-cold atoms can simulate complex many-body phenomena and may provide insights into unsolved problems in modern science. To this end, experimentally feasible protocols for quantifying the buildup of…

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…

量子物理 · 物理学 2020-01-29 Razieh Mohseninia , José Raúl González Alonso , Justin Dressel

Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate OTOC and analyze the quantum information scrambling in atom-field and…

量子物理 · 物理学 2025-10-07 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

Probing the out-of-equilibrium dynamics of quantum matter has gained renewed interest owing to immense experimental progress in artifcial quantum systems. Dynamical quantum measures such as the growth of entanglement entropy (EE) and…

无序系统与神经网络 · 物理学 2018-04-04 Pranjal Bordia , Fabien Alet , Pavan Hosur

The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence.…

量子物理 · 物理学 2023-08-09 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

Interacting many-body quantum systems show a rich array of physical phenomena and dynamical properties, but are notoriously difficult to study: they are challenging analytically and exponentially difficult to simulate on classical…

The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of both condensed matter systems and gravitational systems. It not only plays a key role in investigating the holographic duality between a strongly…

强关联电子 · 物理学 2017-07-26 Jun Li , Ruihua Fan , Hengyan Wang , Bingtian Ye , Bei Zeng , Hui Zhai , Xinhua Peng , Jiangfeng Du

We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of…

强关联电子 · 物理学 2025-09-24 Bastien Lapierre , Tokiro Numasawa , Titus Neupert , Shinsei Ryu

We investigate the onset of chaos in a periodically kicked Dicke model (KDM), using the out-of-time-order correlator (OTOC) as a diagnostic tool, in both the oscillator and the spin subspaces. In the large spin limit, the classical…

统计力学 · 物理学 2021-04-26 Sudip Sinha , Sayak Ray , Subhasis Sinha

Out-of-time-order correlators (OTOC) being explored as a measure of quantum chaos, is studied here in a coupled bipartite system. Each of the subsystems can be chaotic or regular and lead to very different OTOC growths both before and after…

量子物理 · 物理学 2023-07-19 Ravi Prakash , Arul Lakshminarayan

Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical…

In this article, we explore dynamical aspects of Out-of-Time-Order correlators (OTOCs) for critical quenches, in which an initial non-trivial state evolves with a CFT-Hamiltonian. At sufficiently large time, global critical quenches exhibit…

高能物理 - 理论 · 物理学 2021-08-31 Suchetan Das , Bobby Ezhuthachan , Arnab Kundu , Somnath Porey , Baishali Roy

Quantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form $\langle [A(t),B]^2\rangle$ can be…

数学物理 · 物理学 2025-01-15 Marius Lemm , Simone Rademacher

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…

量子物理 · 物理学 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

The out-of-time-ordered correlators (OTOC) have been established as a fundamental concept for quantifying quantum information scrambling and diagnosing quantum chaotic behavior. Recently, it was theoretically proposed that the OTOC can be…

量子物理 · 物理学 2020-07-01 Xinfang Nie , Bo-Bo Wei , Xi Chen , Ze Zhang , Xiuzhu Zhao , Chudan Qiu , Yu Tian , Yunlan Ji , Tao Xin , Dawei Lu , Jun Li

We demonstrate that two-time correlation functions, which are generalizations of out-of-time-ordered correlators (OTOCs), can show 'false-flags' of chaos by exhibiting behaviour predicted by random matrix theory even in a system with…

量子物理 · 物理学 2021-10-27 W. Kirkby , D. H. J. O'Dell , J. Mumford

Exponential growth in the out-of-time-order correlator (OTOC) is an important potential signature of quantum chaos. The OTOC is quite simple to calculate for squeezed states, whose applications are frequently found in quantum optics and…

高能物理 - 理论 · 物理学 2021-02-03 S. Shajidul Haque , Bret Underwood

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…

量子物理 · 物理学 2024-09-17 Naga Dileep Varikuti

In this paper we first compute the out-of-time-order correlators (OTOC) for both a phenomenological model and a random-field XXZ model in the many-body localized phase. We show that the OTOC decreases in power law in a many-body localized…

量子气体 · 物理学 2017-05-12 Ruihua Fan , Pengfei Zhang , Huitao Shen , Hui Zhai