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Out-of-time-ordered correlators (OTOCs) describe information scrambling under unitary time evolution, and provide a useful probe of the emergence of quantum chaos. Here we calculate OTOCs for a model of disorder-free localization whose…

Strongly Correlated Electrons · Physics 2019-08-27 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

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

Out-of-time-order correlators (OTOC), vigorously being explored as a measure of quantum chaos and information scrambling, is studied here in the natural and simplest multi-particle context of bipartite systems. We show that two strongly…

Quantum Physics · Physics 2020-03-18 Ravi Prakash , Arul Lakshminarayan

We study the finite-temperature scrambling behavior of a quantum system described by a Hamiltonian chosen from a random matrix ensemble. This effectively (0+1)-dimensional model admits an exact calculation of various ensemble-averaged…

Strongly Correlated Electrons · Physics 2018-03-23 Sagar Vijay , Ashvin Vishwanath

We investigate both analytically and numerically the dynamics of quantum scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked rotor subject to quantum resonance conditions. Analytical…

Quantum Physics · Physics 2023-07-04 Wen-Lei Zhao , Jie Liu

We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of…

Strongly Correlated Electrons · Physics 2025-09-24 Bastien Lapierre , Tokiro Numasawa , Titus Neupert , Shinsei Ryu

Out-of-time-ordered correlators (OTOC) have been extensively used as a major tool for exploring quantum chaos and also recently, there has been a classical analogue. Studies have been limited to closed systems. In this work, we probe an…

Statistical Mechanics · Physics 2020-11-11 Amit Kumar Chatterjee , Anupam Kundu , Manas Kulkarni

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

Out-of-time-order correlators (OTOC) in the Ising Floquet system, that can be both integrable and nonintegrable is studied. Instead of localized spin observables, we study contiguous symmetric blocks of spins or random operators localized…

Quantum Physics · Physics 2022-06-22 Rohit Kumar Shukla , Arul Lakshminarayan , Sunil Kumar Mishra

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) progressively play an important role in different fields of physics, particularly in the non-equilibrium quantum many-body systems. In this paper, we show that OTOCs can be used to prob the Floquet…

Statistical Mechanics · Physics 2022-03-11 Sara Zamani , R. Jafari , A. Langari

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

The study of information scrambling in many-body systems has sharpened our understanding of quantum chaos, complexity and gravity. Here, we extend the framework for exploring information scrambling to infinite dimensional continuous…

Quantum Physics · Physics 2019-06-26 Quntao Zhuang , Thomas Schuster , Beni Yoshida , Norman Y. Yao

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

The out-of-time-ordered correlators (OTOC) and the Loschmidt echo are two measures that are now widely being explored to characterize sensitivity to perturbations and information scrambling in complex quantum systems. Studying few qubits…

Quantum Physics · Physics 2021-05-26 Sreeram PG , Vaibhav Madhok , Arul Lakshminarayan

Information scrambling, characterized by the out-of-time-ordered correlator (OTOC), has attracted much attention, as it sheds new light on chaotic dynamics in quantum many-body systems. The scale invariance, which appears near the quantum…

Statistical Mechanics · Physics 2019-06-19 Shunsuke Nakamura , Eiki Iyoda , Tetsuo Deguchi , Takahiro Sagawa

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

Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and holography. We tackle this problem in 1D…

Strongly Correlated Electrons · Physics 2018-04-18 Curt von Keyserlingk , Tibor Rakovszky , Frank Pollmann , Shivaji Sondhi

Fast scrambling of quantum correlations, reflected by the exponential growth of Out-of-Time-Order Correlators (OTOCs) on short pre-Ehrenfest time scales, is commonly considered as a major quantum signature of unstable dynamics in quantum…

Quantum Physics · Physics 2023-08-22 Mathias Steinhuber , Peter Schlagheck , Juan-Diego Urbina , Klaus Richter

We calculate the third-order out-of-time-order correlator (OTOC) of a simple harmonic oscillator with an additional quartic interaction using the second quantization method. We obtain analytic relations for the spectrum, Fock space states,…

Quantum Physics · Physics 2025-05-13 Wung-Hong Huang
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