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Related papers: Out-of-time-order correlations and Floquet dynamic…

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The out-of-time-ordered correlators (OTOC) have been established as a fundamental concept for quantifying quantum information scrambling and diagnosing quantum chaotic behavior. Recently, it was theoretically proposed that the OTOC can be…

Quantum Physics · Physics 2020-07-01 Xinfang Nie , Bo-Bo Wei , Xi Chen , Ze Zhang , Xiuzhu Zhao , Chudan Qiu , Yu Tian , Yunlan Ji , Tao Xin , Dawei Lu , Jun Li

The out-of-time-order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few-body Dicke models with large frequency ratio of theatomic level…

Quantum Physics · Physics 2020-02-18 Zheng-Hang Sun , Jia-Qi Cai , Qi-Cheng Tang , Yong Hu , Heng Fan

In recent times out-of-time-order correlators (OTOC) have been established as a tool to understand butterfly effects, quantum information scrambling, and many-body localization. They can also be useful in determining different phases of…

Quantum Physics · Physics 2025-05-13 Rohit Kumar Shukla

Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will…

We study operator dynamics in many-body quantum systems, focusing on generic features of systems that are ergodic, spatially extended, and lack conserved densities. Quantum circuits of various types provide simple models for such systems.…

Statistical Mechanics · Physics 2025-04-15 Takato Yoshimura , Samuel J. Garratt , J. T. Chalker

As a measure of information scrambling and quantum chaos, out-of-time-ordered correlator (OTOC) plays more and more important role in many different fields of physics. In this work, we verify that the OTOC can also be used as a prober of…

Quantum Physics · Physics 2019-12-18 Qian Wang , Francisco Pérez-Bernal

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-ordered correlation (OTOC) functions have been used as an indicator of quantum chaos in a lot of physical systems. In this work, we computationally demonstrate that zerotemperature OTOC can detect quantum phase transition in…

Quantum Gases · Physics 2021-11-17 Jihan Hu , Shaolong Wan

We elucidate the relation between out-of-time-order correlators (OTOCs) and quantum phase transitions via analytically studying the OTOC dynamics in a degenerate spectrum. Our method points to key ingredients to dynamically detect quantum…

Quantum Physics · Physics 2019-10-09 Ceren B. Dağ , Kai Sun , L. -M. Duan

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and…

Quantum Physics · Physics 2023-02-14 Qian Bin , Liang-Liang Wan , Franco Nori , Ying Wu , Xin-You Lü

Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of…

We investigate both numerically and analytically the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian kicked rotor model, addressing the scaling laws of the time dependence of OTOCs at the transition to the spontaneous…

Quantum Physics · Physics 2023-06-14 Wen-Lei Zhao , Ru-Ru Wang , Han Ke , Jie Liu

We study out-of-time order correlators (OTOCs) of the form $\langle\hat A(t)\hat B(0)\hat C(t)\hat D(0)\rangle$ for a quantum system weakly coupled to a dissipative environment. Such an open system may serve as a model of, e.g., a small…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 S. V. Syzranov , A. V. Gorshkov , V. Galitski

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

We study the out-of-time-order correlation (OTOC) of the Floquet transverse Ising model and use it to verify the phase diagram of the system. First, we present the exact analytical solution of the transverse magnetization OTOC using the…

Statistical Mechanics · Physics 2022-06-23 Rohit Kumar Shukla , Gautam Kamalakar Naik , Sunil Kumar Mishra

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-order correlators (OTOCs) are central probes of quantum scrambling, and their generalizations have recently become key primitives for both benchmarking quantum advantage and learning the structure of Hamiltonians. Yet their…

Quantum Physics · Physics 2025-12-01 Keisuke Fujii

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

High Energy Physics - Theory · Physics 2024-08-26 Paul Romatschke

We construct an effective field theory (EFT) that captures the universal behavior of out-of-time-order correlators (OTOCs) at late times in generic quantum many-body systems with conservation laws. The EFT hinges on a generalization of the…

Strongly Correlated Electrons · Physics 2026-02-12 Ruchira Mishra , Jiaozi Wang , Silvia Pappalardi , Luca V. Delacrétaz

Scrambling and thermalisation are topics of intense study in both condensed matter and high energy physics. Random unitary dynamics form a simple testing-ground for our theoretical understanding of these processes. In this work, we derive…

Quantum Physics · Physics 2021-10-29 Ewan McCulloch
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