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We present a protocol to experimentally measure the infinite-temperature out-of-time-ordered correlation (OTOC) -- which is a probe of quantum information scrambling in a system -- for systems with a Hamiltonian which has either a chiral…

量子物理 · 物理学 2020-06-29 Bhuvanesh Sundar

Out-of-time-order correlators (OTOC), recently being the center of discussion on quantum chaos, are a tool to understand the information scrambling in different phases of quantum many-body systems. We propose a disordered ladder spin model,…

量子物理 · 物理学 2019-05-21 Ceren B. Dağ , L. -M. Duan

Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless…

高能物理 - 理论 · 物理学 2021-03-11 Ben Craps , Marine De Clerck , Philip Hacker , Kévin Nguyen , Charles Rabideau

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 the main tool for probing quantum chaos and scrambling, and have become crucial probes in many areas of quantum computing. However, the measurement of OTOCs is difficult to implement on analog…

量子物理 · 物理学 2026-04-08 Goksu Can Toga , Siva Darbha , Ermal Rrapaj , Pedro L. S. Lopes , Alexander F. Kemper

This Letter demonstrates for chaotic maps (logistic, classical and quantum standard maps (SMs)) that the exponential growth rate ($\Lambda$) of the out-of-time-ordered four-point correlator (OTOC) is equal to the classical Lyapunov exponent…

混沌动力学 · 物理学 2022-08-31 Miguel A P Reynoso , Guilherme J Delben , Martin Schlesinger , Marcus W Beims

Two topics, evolving rapidly in separate fields, were combined recently: The out-of-time-ordered correlator (OTOC) signals quantum-information scrambling in many-body systems. The Kirkwood-Dirac (KD) quasiprobability represents operators in…

量子物理 · 物理学 2018-04-12 Nicole Yunger Halpern , Brian Swingle , Justin Dressel

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…

量子物理 · 物理学 2026-03-24 Stephen Wiggins

We investigate the finite and large $N$ behaviors of independent-value O(N)-invariant matrix models. These are models defined with matrix-type fields and with no gradient term in their action. They are generically nonrenormalizable but can…

高能物理 - 理论 · 物理学 2015-06-16 Joseph Ben Geloun , John R. Klauder

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

We propose a new dynamical method to connect equilibrium quantum phase transitions and quantum coherence using out-of-time-order correlations (OTOCs). Adopting the iconic Lipkin-Meshkov-Glick and transverse-field Ising models as…

量子物理 · 物理学 2020-12-21 Robert J. Lewis-Swan , Sean R. Muleady , Ana Maria Rey

We study the dynamical properties of the ordered phases obtained in a coupled nonequilibrium system describing advection of two species of particles by a stochastically evolving landscape. The local dynamics of the landscape also gets…

统计力学 · 物理学 2017-08-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

The symmetry of chaotic systems plays a pivotal role in determining the universality class of spectral statistics and dynamical behaviors, which can be described within the framework of random matrix theory. Understanding the influence of…

统计力学 · 物理学 2024-10-08 Fuxing Chen , Ping Fang

We construct an effective field theory (EFT) that captures the universal behavior of out-of-time-order correlators (OTOCs) at late times in generic quantum many-body systems with conservation laws. The EFT hinges on a generalization of the…

强关联电子 · 物理学 2026-02-12 Ruchira Mishra , Jiaozi Wang , Silvia Pappalardi , Luca V. Delacrétaz

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

The perturbation theory expansion presented earlier to describe the phase-ordering kinetics in the case of a nonconserved scalar order parameter is generalized to the case of the $n$-vector model. At lowest order in this expansion, as in…

统计力学 · 物理学 2009-10-31 Gene F. Mazenko

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

In this note we continue analysing the non-equilibrium dynamics in the $(T^2)^n/\mathbb{Z}_n$ orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational $\eta \ (=p/q)$…

高能物理 - 理论 · 物理学 2017-09-06 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

The relationship between a driven extended system and an autonomous spatiotemporal system is investigated in the context of coupled map lattice models. Specifically, a locally coupled map lattice subjected to an external drive is compared…

混沌动力学 · 物理学 2009-11-07 M. G. Cosenza , M. Pineda , A. Parravano

We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

信号处理 · 电气工程与系统科学 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang
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