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In this article, we study the scrambling dynamics in supersymmetric quantum mechanical systems. The eigenstate representation of such supersymmetric systems allows us to present an explicit form of the $2N$-point out-of-time-order…

Quantum Physics · Physics 2024-07-24 Rathindra Nath Das , Sourav Dutta , Archana Maji

We study the out-of-time-order correlators (OTOC) of Skyrmion as baryon in the D0-D4/D8 model which is expected to be holographically dual to QCD with instantons as D0-branes or with a non-zero theta angle. Baryon states are identified to…

High Energy Physics - Theory · Physics 2024-08-29 Si-wen Li , Yi-peng Zhang , Hao-qian Li

Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an…

Quantum Gases · Physics 2021-01-05 Zehan Li , Sayan Choudhury , W. Vincent Liu

Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the regularized finite-temperature…

Quantum Physics · Physics 2022-06-29 Namit Anand , Paolo Zanardi

The out-of-time order correlator (OTOC) has recently become relevant in different areas where it has been linked to scrambling of quantum information and entanglement. It has also been proposed as a good indicator of quantum complexity. In…

Quantum Physics · Physics 2020-12-30 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is…

High Energy Physics - Theory · Physics 2021-02-03 Paul Romatschke

Out-of-time-order correlation functions (OTOCs) and their higher-order generalizations present important probes of quantum information dynamics and scrambling. We introduce a solvable many-body quantum model, which we term boundary…

Quantum Physics · Physics 2025-09-11 Felix Fritzsch , Gabriel O. Alves , Michael A. Rampp , Pieter W. Claeys

Discretizing the $\lambda \phi^4$ scalar field theory on a lattice yields a system of coupled anharmonic oscillators with quadratic and quartic potentials. We begin by analyzing the two coupled oscillators in the second quantization method…

High Energy Physics - Theory · Physics 2026-05-12 Wung-Hong Huang

We introduce the out-of-time-correlation(OTOC) with the Planck cell resolution. The dependence of this OTOC on the initial state makes it function like a microscope, allowing us to investigate the fine structure of quantum dynamics beyond…

Quantum Physics · Physics 2021-09-15 Zhenduo Wang , Jiajin Feng , Biao Wu

The action of any local operator on a quantum system propagates through the system carrying the information of the operator. This is usually studied via the out-of-time-order correlator (OTOC). We numerically study the information…

Statistical Mechanics · Physics 2024-04-10 Samudra Sur , Diptiman Sen

The fully frustrated ladder - a quasi-1D geometrically frustrated spin one half Heisenberg model - is non-integrable with local conserved quantities on rungs of the ladder, inducing the fragmentation of the Hilbert space into sectors…

Statistical Mechanics · Physics 2021-10-13 Dominik Hahn , Paul A. McClarty , David J. Luitz

Non-KAM (Kolmogorov-Arnold-Moser) systems, when perturbed by weak time-dependent fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase space tori. In this work, we employ out-of-time-order correlators…

Chaotic Dynamics · Physics 2024-01-10 Naga Dileep Varikuti , Abinash Sahu , Arul Lakshminarayan , Vaibhav Madhok

Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the…

High Energy Physics - Theory · Physics 2018-11-14 Mike Blake , Hyunseok Lee , Hong Liu

Classical quasi-integrable systems are known to have Lyapunov times much shorter than their ergodicity time, but the situation for their quantum counterparts is less well understood. As a first example, we examine the quantum Lyapunov…

Quantum Physics · Physics 2020-09-04 Tomer Goldfriend , Jorge Kurchan

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…

High Energy Physics - Theory · Physics 2021-03-11 Ben Craps , Marine De Clerck , Philip Hacker , Kévin Nguyen , Charles Rabideau

Out-of-Time Ordered Correlators (OTOCs) are widely used to investigate information scrambling in quantum systems. However, directly computing OTOCs with classical computers is an expensive procedure. This is due to the need to classically…

Quantum Physics · Physics 2025-04-03 John Tanner , Jason Pye , Jingbo Wang

The commutator between operators at different space and time has been a diagnostic for locality of unitary evolution. Most existing results are either for specific tractable (random) Hamiltonians(Out-of-Time-Order-Correlators calculations),…

Quantum Physics · Physics 2021-03-17 Chi-Fang Chen

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

The information scrambling phenomena in an open quantum system modeled by Ising spin chains coupled to Lipkin-Meshkov-Glick (LMG) baths are observed via an interferometric method for obtaining out-of-time-ordered correlators…

Quantum Physics · Physics 2025-12-18 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

Operator spreading has profound implications in diverse fields ranging from statistical mechanics and blackhole physics to quantum information. The usual way to quantify it is through out-of-time-order correlators (OTOCs), which are the…

Quantum Physics · Physics 2024-05-22 K. J. Joven , V. M. Bastidas
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