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Related papers: Witnessing quantum chaos using observational entro…

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Coarse-grained measurements offer a scalable alternative to full state tomography for characterizing complex quantum dynamics. We show that observational entropy (OE), an information-theoretic entropy defined directly from finite-resolution…

Quantum Physics · Physics 2026-05-25 J. Bharathi Kannan , Sreeram PG , M. S. Santhanam

Out-of-time-order correlators (OTOCs) have proven to be a useful tool for studying thermalisation in quantum systems. In particular, the exponential growth of OTOCS, or scrambling, is sometimes taken as an indicator of chaos in quantum…

Quantum Physics · Physics 2021-03-09 R. A. Kidd , A. Safavi-Naini , J. F. Corney

We study operator growth in a bipartite kicked coupled tops (KCT) system using out-of-time ordered correlators (OTOCs), which quantify ``information scrambling" due to chaotic dynamics and serve as a quantum analog of classical Lyapunov…

Quantum Physics · Physics 2024-06-11 Naga Dileep Varikuti , Vaibhav Madhok

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…

We show that out-of-time-order correlators (OTOCs) constitute a probe for Local-Operator Entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful dynamical indicator of quantum chaos, while OTOC decay…

Quantum Physics · Physics 2023-11-06 Neil Dowling , Pavel Kos , Kavan Modi

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…

A host of dynamical measures of quantum correlations -- out-of-time ordered correlators (OTOC), Loschmidt echo, generalized entanglement and observational entropy -- are useful to infer the underlying classical chaotic dynamics in quantum…

Quantum Physics · Physics 2025-08-11 Sreeram PG , M. S. Santhanam

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

Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local…

Statistical Mechanics · Physics 2017-08-23 Ivan Kukuljan , Sašo Grozdanov , Tomaž Prosen

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

Recently, the out-of-time-ordered correlator (OTOC) has gained much attention as an indicator of quantum chaos. In the semi-classical limit, its exponential growth rate resembles the classical Lyapunov exponent. The quantum-classical…

Quantum Physics · Physics 2023-10-26 Devvrat Tiwari , Subhashish Banerjee

The operator space entanglement entropy, or simply 'operator entanglement' (OE), is an indicator of the complexity of quantum operators and of their approximability by Matrix Product Operators (MPO). We study the OE of the density matrix of…

We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an example, the model of a kicked Kerr…

chao-dyn · Physics 2009-10-31 Kirill N. Alekseev , Jan Perina

Out-of-Time-Ordered Commutators (OTOCs), representing a key diagnostic for scrambling as a facet of short-time quantum chaos, have attracted wide-ranging interest, from many-body physics to quantum gravity. By means of a suitable form of…

Chaotic Dynamics · Physics 2025-12-24 Fabian Haneder , Gerrit Caspari , Juan Diego Urbina , Klaus Richter

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…

High Energy Physics - Theory · Physics 2021-02-03 S. Shajidul Haque , Bret Underwood

We study the double kicked top (DKT), which is an extension of the standard quantum kicked top (QKT) model. The model allows us to study the transition from time-reversal symmetric to broken time-reversal symmetric dynamics. Our…

Quantum Physics · Physics 2025-10-07 Avadhut V. Purohit , Udaysinh T. Bhosale

Quantum chaos is an intriguing topic and has attracted a great deal of interests in quantum mechanics and black hole physics. Recently, the exponential growth of out-of-time-ordered correlator (OTOC) has been proposed to diagnose quantum…

Quantum Physics · Physics 2025-05-30 Shangyun Wang , Songbai Chen , Jiliang Jing , Jieci Wang , Heng Fan

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 analyze the interplay of chaos, entanglement and decoherence in a system of qubits whose collective behaviour is that of a quantum kicked top. The dynamical entanglement between a single qubit and the rest can be calculated from the mean…

Quantum Physics · Physics 2009-11-13 S. Ghose , R. Stock , P. S. Jessen , R. Lal , A. Silberfarb

Out-of-time-ordered correlators (OTOCs) are an effective tool in characterizing black hole chaos, many-body thermalization and quantum dynamics instability. Previous research findings have shown that the OTOCs' exponential growth (EG) marks…

Quantum Physics · Physics 2021-06-02 Wen-Lei Zhao , Yue Hu , Zhi Li , Qian Wang
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