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Related papers: Probing Out-of-Time-Order Correlators

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Previous studies show that, in quantum chaotic and integrable systems, the so-called out-of-time-ordered correlator (OTOC) generically behaves differently at long times, while, it may show similar early growth in one-body systems. In this…

Statistical Mechanics · Physics 2022-01-19 Hua Yan , Jiaozi Wang , Wen-ge Wang

Out-of-time-order correlators (OTOC), recently being the center of discussion on quantum chaos, are a tool to understand the information scrambling in different phases of quantum many-body systems. We propose a disordered ladder spin model,…

Quantum Physics · Physics 2019-05-21 Ceren B. Dağ , L. -M. Duan

The out-of-time-ordered correlation (OTOC) function is an important new probe in quantum field theory which is treated as a significant measure of random quantum correlations. In this paper, with the slogan "Cosmology meets Condensed Matter…

High Energy Physics - Theory · Physics 2020-09-17 Sayantan Choudhury

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

We present exact results for the classical version of the Out-of-Time-Order Commutator (OTOC) for a family of power-law models consisting of $N$ particles in one dimension and confined by an external harmonic potential. These particles are…

Statistical Mechanics · Physics 2022-06-29 Bhanu Kiran S. , David A. Huse , Manas Kulkarni

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 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-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

We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized $f$-particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling…

Strongly Correlated Electrons · Physics 2026-01-07 A. M. Shvaika , J. K. Freericks

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

Statistical Mechanics · Physics 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

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 study characteristic, dynamic, and saturation regimes of the out-of-time-order correlation (OTOC) in the constant field Floquet system with and without longitudinal field. In the calculation of OTOC, we take local spins in longitudinal…

Quantum Physics · Physics 2022-08-19 Rohit Kumar Shukla , Sunil Kumar Mishra

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 propose a new dynamical method to connect equilibrium quantum phase transitions and quantum coherence using out-of-time-order correlations (OTOCs). Adopting the iconic Lipkin-Meshkov-Glick and transverse-field Ising models as…

Quantum Physics · Physics 2020-12-21 Robert J. Lewis-Swan , Sean R. Muleady , Ana Maria Rey

The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system close to its critical point obeys dynamical…

Quantum Physics · Physics 2019-11-13 Bo-Bo Wei , Gaoyong Sun , Myung-Joong Hwang

Much recent work has been devoted to the study of information scrambling in quantum systems. In this paper, we study the long-time properties of the algebraic out-of-time-order-correlator ("$\mathcal{A}$-OTOC") and derive an analytical…

Quantum Physics · Physics 2024-05-29 Faidon Andreadakis , Emanuel Dallas , Paolo Zanardi

We investigate the scrambling of information in a hierarchical star-topology system using out-of-time-ordered correlation (OTOC) functions. The system consists of a central qubit directly interacting with a set of satellite qubits, which in…

Quantum Physics · Physics 2019-06-07 Deepak Khurana , V. R. Krithika , T. S. Mahesh

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

There has been recent progress in understanding chaotic features in many-body quantum systems. Motivated by the scrambling of information in black holes, it has been suggested that the time dependence of out-of-time-ordered (OTO)…

Quantum Physics · Physics 2016-12-28 Guanyu Zhu , Mohammad Hafezi , Tarun Grover

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
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