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Out-of-time-order correlators (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation in interacting quantum many-body systems. It was recently argued that the expected exponential growth of…

Statistical Mechanics · Physics 2021-09-21 Marlon Brenes , Silvia Pappalardi , Mark T. Mitchison , John Goold , Alessandro Silva

Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos in generic systems. However, they can also show interesting behavior in integrable models, resembling the OTOC in chaotic systems in some aspects. Here…

Statistical Mechanics · Physics 2018-04-25 Cheng-Ju Lin , Olexei I. Motrunich

We present a method to probe the Out-of-Time-Order Correlators (OTOCs) of a general system by coupling it to a harmonic oscillator probe. When the system's degrees of freedom are traced out, the OTOCs imprint themselves on the generalized…

High Energy Physics - Theory · Physics 2020-01-08 Soumyadeep Chaudhuri , R. Loganayagam

Out-of-Time-Order-Correlator (OTOC) and Loschmidt Echo (LE) are commonly regarded as diagnostic tools for chaos, although they may yield misleading results because of various other factors. Previous studies have concluded that OTOC shows…

Quantum Physics · Physics 2025-07-01 Pranaya Pratik Das , Biplab Ganguli

Out-of-time-ordered correlators (OTOCs) are of crucial importance for studying a wide variety of fundamental phenomena in quantum physics, ranging from information scrambling to quantum chaos and many-body localization. However, apart from…

Quantum Physics · Physics 2020-07-01 Yukai Wu , L. -M. Duan , Dong-Ling Deng

Out-of time-ordered correlators (OTOC) have recently attracted significant attention from the physics of many-body systems, to quantum black-holes, with an exponential growth of the OTOC indicating quantum chaos. Here we consider OTOC in…

Quantum Physics · Physics 2019-07-03 Sivaprasad Omanakuttan , Arul Lakshminarayan

We compute Out-of-Time-Order correlators (OTOCs) for conformal field theories (CFTs) subjected to either continuous or discrete periodic drive protocols. This is achieved by an appropriate analytic continuation of the stroboscopic time.…

High Energy Physics - Theory · Physics 2022-09-07 Suchetan Das , Bobby Ezhuthachan , Arnab Kundu , Somnath Porey , Baishali Roy , K. Sengupta

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…

Quantum Gases · Physics 2017-05-12 Ruihua Fan , Pengfei Zhang , Huitao Shen , Hui Zhai

It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve as a useful characteristic of quantum-chaotic behavior, because in the semi-classical limit, $\hbar \to 0$, its rate of exponential growth…

Disordered Systems and Neural Networks · Physics 2017-02-22 Efim B. Rozenbaum , Sriram Ganeshan , Victor Galitski

We study the behavior of the out-of-time-ordered correlator (OTOC) in a non-Hermitian quantum Ising system. We show that the OTOC can diagnose not only the ground state exceptional point, which hosts the Yang-Lee edge singularity, but also…

Statistical Mechanics · Physics 2020-08-26 Liang-Jun Zhai , Shuai Yin

This letter reports the findings of the late time behavior of the out-of-time-ordered correlators (OTOCs) via a quantum kicked rotor model with $\cal{PT}$-symmetric driving potential. An analytical expression of the OTOCs' quadratic growth…

Quantum Physics · Physics 2021-06-01 Wen-Lei Zhao

We study out-of-time-ordered correlators (OTOC) in hard-core boson models with short-range and long-range hopping and compare the results to the OTOC in the Luttinger liquid model. For the density operator, a related `commutator function'…

Strongly Correlated Electrons · Physics 2018-10-18 Cheng-Ju Lin , Olexei I. Motrunich

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 provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum mechanics with a potential whose part is an inverted harmonic…

High Energy Physics - Theory · Physics 2020-12-02 Koji Hashimoto , Kyoung-Bum Huh , Keun-Young Kim , Ryota Watanabe

As the out-of-time-order correlator (OTOC) is a measure of quantum chaos and an important observable in the context of AdS/CFT, we investigate the OTOC of holographic Skyrmion which is described by an analytical quantum mechanical system…

High Energy Physics - Theory · Physics 2024-01-10 Si-wen Li , Yi-peng Zhang , Hao-qian Li

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

Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

Statistical Mechanics · Physics 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

High Energy Physics - Theory · Physics 2024-08-26 Paul Romatschke

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…

High Energy Physics - Theory · Physics 2021-08-31 Suchetan Das , Bobby Ezhuthachan , Arnab Kundu , Somnath Porey , Baishali Roy

Chaotic dynamics in quantum many-body systems scrambles local information so that at late times it can no longer be accessed locally. This is reflected quantitatively in the out-of-time-ordered correlator of local operators, which is…

Quantum Physics · Physics 2019-07-10 Yichen Huang , Fernando G. S. L. Brandao , Yong-Liang Zhang