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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…

Disordered Systems and Neural Networks · Physics 2018-04-04 Pranjal Bordia , Fabien Alet , Pavan Hosur

Focusing on semiclassical systems, we show that the parametrically long exponential growth of out-of-time order correlators (OTOCs), also known as scrambling, does not necessitate chaos. Indeed, scrambling can simply result from the…

Statistical Mechanics · Physics 2020-04-09 Tianrui Xu , Thomas Scaffidi , Xiangyu Cao

Classical chaotic systems exhibit exponentially diverging trajectories due to small differences in their initial state. The analogous diagnostic in quantum many-body systems is an exponential growth of out-of-time-ordered correlation…

Strongly Correlated Electrons · Physics 2020-03-06 Étienne Lantagne-Hurtubise , Stephan Plugge , Oguzhan Can , Marcel Franz

The spatiotemporal evolution of the out-of-time-order correlator (OTOC) measures the propagation and scrambling of local quantum information. For the transverse field Ising model with open boundaries, the local operator $\sigma^{x}$ shows…

Strongly Correlated Electrons · Physics 2024-07-12 Samudra Sur , Diptiman Sen

The out-of-time-order correlator (OTOC) quantifies information scrambling in quantum systems and serves as a key diagnostic of quantum chaos. In one-body systems with a classical counterpart, the relaxation of the OTOC is governed by…

Quantum Physics · Physics 2026-03-03 Jerónimo Duarte , Ignacio García-Mata , Diego A. Wisniacki

In the study of quantum chaos, `out of time ordered correlators' (OTOCs) are commonly used to quantify the rate at which quantum information is scrambled. This rate has been conjectured by Maldecena et al. to obey a universal, temperature…

Quantum Physics · Physics 2025-12-02 Andrew C. Hunt

We study theoretically entanglement and operator growth in a spin system coupled to an environment, which is modeled with classical dephasing noise. Using exact numerical simulations we show that the entanglement growth and its fluctuations…

Statistical Mechanics · Physics 2018-11-16 Michael Knap

The large-$N$ limit of $O(N)$-symmetric bosonic field theories, or $U(N)$-symmetric fermionic field theories, is amenable to a saddle point approximation. As a result, there is a family of closely related algorithms for efficient lattice…

High Energy Physics - Lattice · Physics 2022-01-03 Scott Lawrence

While classical chaos has been successfully characterized with consistent theories and intuitive techniques, such as with the use of Lyapunov exponents, quantum chaos is still poorly understood, as well as its relation with multi-partite…

Quantum scrambling measured by out-of-time-ordered correlator (OTOC) has an important role in understanding the physics of black holes and evaluating quantum chaos. It is known that Rydberg atom has been a general interest due to its…

Quantum Physics · Physics 2018-07-09 Daattavya Aggarwal , Shivam Raj , Bikash K. Behera , Prasanta K. Panigrahi

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and…

Quantum Physics · Physics 2023-02-14 Qian Bin , Liang-Liang Wan , Franco Nori , Ying Wu , Xin-You Lü

There is a remarkable interest in the study of Out-of-time ordered correlators (OTOCs) that goes from many body theory and high energy physics to quantum chaos. In this latter case there is a special focus on the comparison with the…

Quantum Physics · Physics 2019-10-30 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout the entire system. This concept underlies the dynamics of thermalization in closed quantum systems, and…

We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as a…

Quantum Physics · Physics 2024-11-07 Himanshu Sahu

The question of how swiftly entanglement spreads over a system has attracted vital interest. In this regard, the out-of-time ordered correlator (OTOC) is a quantitative measure of the entanglement spreading process. Particular interest…

Quantum Physics · Physics 2022-02-08 A. K. Singh , Kushagra Sachan , L. Chotorlishvili , Vipin V. , Sunil K. Mishra

How fast quantum information scrambles such that it becomes inaccessible by local probes turns out to be central to various fields. Motivated by recent works on spin systems with nonlocal interactions, we study information scrambling in…

Quantum Physics · Physics 2023-05-24 Darvin Wanisch , Juan Diego Arias Espinoza , Stephan Fritzsche

Out-of-Time-Order Correlation function measures transport properties of dynamical systems. They are ubiquitously used to measure quantum mechanical quantities, such as scrambling times, criticality in phase transitions, and detect onset of…

Quantum Physics · Physics 2024-11-11 Subhayan Roy Moulik , Sergii Strelchuk

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…

We calculate the out-of-time-ordered correlation function (OTOC) of a single impurity qubit coupled to fully a connected many-particle system such as a bosonic Josephson junction or spins with long-range interactions. In these systems the…

Quantum Physics · Physics 2021-02-02 J. Mumford , W. Kirkby , D. H. J. O'Dell

We show that the out-of-time-order correlation (OTOC) $ \langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle$ in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group…

Strongly Correlated Electrons · Physics 2017-05-03 Kevin Slagle , Zhen Bi , Yi-Zhuang You , Cenke Xu