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Related papers: Out-of-time-order correlator computation based on …

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Quantum information stored in local operators spreads over other degrees of freedom of the system during time evolution, known as scrambling. This process is conveniently characterized by the out-of-time-order commutators (OTOC), whose time…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Zoltán Okvátovity , Balázs Dóra

We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables $A$ and $B$ in a mean field chaotic quantum system described by a random Wigner matrix as its Hamiltonian. We rigorously identify three…

Mathematical Physics · Physics 2024-02-28 Giorgio Cipolloni , László Erdős , Joscha Henheik

We introduce the parafermionic truncated Wigner approximation ($p$TWA), a semiclassical phase-space framework for simulating the nonequilibrium dynamics of lattice systems with fractional exchange statistics. The method extends truncated…

Strongly Correlated Electrons · Physics 2026-04-01 Javad Vahedi , Martin Garttner

Out-of-time ordered (OTO) correlation functions describe scrambling of information in correlated quantum matter. They are of particular interest in incoherent quantum systems lacking well defined quasi-particles. Thus far, it is largely…

Quantum Gases · Physics 2017-06-06 A. Bohrdt , C. B. Mendl , M. Endres , M. Knap

We investigate the out-of-time ordered correlators and Loschmidt echo in a non-Hermitian interacting system governed by a Gross-Pitaevskii map model, which incorporates a periodically modulated complex strength of the nonlinear interaction…

Quantum Physics · Physics 2025-03-24 Wen-Lei Zhao , Chao Han , Han Ke , Jie Liu

Numerical techniques to efficiently model out-of-equilibrium dynamics in interacting quantum many-body systems are key for advancing our capability to harness and understand complex quantum matter. Here we propose a new numerical approach…

Quantum Gases · Physics 2019-08-19 Bihui Zhu , Ana Maria Rey , Johannes Schachenmayer

We investigate the dynamical spreading of spatial correlations after a quantum quench starting from a magnetically disordered state in the transverse-field Ising model at one (1D) and two spatial dimensions (2D). We analyze specifically the…

Quantum Gases · Physics 2023-08-04 Ryui Kaneko , Ippei Danshita

We study quantum information scrambling in spin models with both long-range all-to-all and short-range interactions. We argue that a simple global, spatially homogeneous interaction together with local chaotic dynamics is sufficient to give…

We apply the semi-classical limit of the generalized $SO(3)$ map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on $T^{\ast…

Out-of-time-ordered correlators (OTOCs) have emerged as powerful tools for diagnosing quantum chaos and information scrambling. While extensively studied in closed quantum systems, their behavior in dissipative environments remains less…

Quantum Physics · Physics 2025-03-06 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

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

An extended formulation of out-of-time-ordered correlators (OTOCs), which quantify noncommutative operator growth and information scrambling in quantum many-body systems, is developed for turbulence dynamics as a representative of…

Plasma Physics · Physics 2026-02-26 Motoki Nakata

Out-of-time-order correlator (OTOC), been suggested as a measure of quantum information scrambling in quantum many-body systems, has received enormous attention recently. The experimental measurement of OTOC is quite challenging. The…

Quantum Physics · Physics 2019-04-01 Xinfang Nie , Ze Zhang , Xiuzhu Zhao , Tao Xin , Dawei Lu , Jun Li

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

Measurement-induced phases exhibit unconventional dynamics as emergent collective phenomena, yet their behavior in tailored interacting systems -- crucial for quantum technologies -- remains less understood. We develop a systematic toolbox…

Quantum Physics · Physics 2025-06-24 Zejian Li , Anna Delmonte , Xhek Turkeshi , Rosario Fazio

The out-of-time-ordered correlator (OTOC) is a powerful tool for probing quantum information scrambling, a fundamental process by which local information spreads irreversibly throughout a quantum many-body system. Experimentally measuring…

Quantum Physics · Physics 2026-03-18 Haruki Emori , Hiroyasu Tajima

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…

Strongly Correlated Electrons · Physics 2017-07-26 Jun Li , Ruihua Fan , Hengyan Wang , Bingtian Ye , Bei Zeng , Hui Zhai , Xinhua Peng , Jiangfeng Du

Learning the properties of dynamical quantum systems underlies applications ranging from nuclear magnetic resonance spectroscopy to quantum device characterization. A central challenge in this pursuit is the learning of strongly-interacting…

We investigate both theoretically and numerically the dynamics of Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly…

Quantum Physics · Physics 2024-01-30 Guanling Li , Wen-Lei Zhao

An accurate description of the nonequilibrium dynamics of systems with coupled spin and bosonic degrees of freedom remains theoretically challenging, especially for large system sizes and in higher than one dimension. Phase space methods…

Quantum Gases · Physics 2017-09-13 A. Piñeiro Orioli , A. Safavi-Naini , M. L. Wall , A. M. Rey