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The out-of-time ordered correlator (OTOC) has become a popular probe for quantum information spreading and thermalization. In systems with local interactions, the OTOC defines a characteristic butterfly lightcone that separates a regime not…

量子物理 · 物理学 2024-11-13 Cheryne Jonay , Cathy Li , Tianci Zhou

We study the exponential relaxation of observables, propagated with a non-Hermitian transfer matrix, an example being out-of-time-ordered correlations (OTOC) in brickwall (BW) random quantum circuits. Until a time that scales as the system…

量子物理 · 物理学 2023-12-25 Jaš Bensa

Out-of-time ordered correlators (OTOCs) help characterize the scrambling of quantum information and are usually studied in the context of nonintegrable systems. In this work, we compare the relaxation dynamics of OTOCs in interacting…

统计力学 · 物理学 2023-06-29 Vinitha Balachandran , Lea F. Santos , Marcos Rigol , Dario Poletti

We want to understand how relaxation process from an initial non-generic state proceeds towards a long-time typical state reached under unitary quantum evolution. One would expect that after some initial correlation time relaxation will be…

量子物理 · 物理学 2023-10-10 Marko Znidaric

The out-of-time ordered correlator (OTOC) is a measure of scrambling of quantum information. Scrambling is intuitively considered to be a significant feature of chaotic systems and thus the OTOC is widely used as a measure of chaos. For…

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…

量子物理 · 物理学 2021-10-29 Ewan McCulloch

The concept of out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical…

The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence.…

量子物理 · 物理学 2023-08-09 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

The underlying physical concept of computing out-of-time-ordered correlation (OTOC) is a significant new tool within the framework of quantum field theory, which now-a-days is treated as a measure of random fluctuations. In this paper, by…

综合物理 · 物理学 2021-06-03 Sayantan Choudhury

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,…

量子物理 · 物理学 2025-05-13 Wung-Hong Huang

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…

量子物理 · 物理学 2020-03-18 Ravi Prakash , Arul Lakshminarayan

Out-of-time-order correlators (OTOCs) are a standard measure of quantum chaos. Of the four operators involved, one pair may be regarded as a source and the other as a probe. A usual approach, applicable to large-$N$ systems such as the SYK…

高能物理 - 理论 · 物理学 2022-03-24 Yingfei Gu , Alexei Kitaev , Pengfei Zhang

In this paper, the out-of-time-order correlators (OTOC) in quantum harmonic oscillators are calculated analytically by second quantization method in perturbative approximation. We consider the coupled harmonic oscillators and anharmonic…

高能物理 - 理论 · 物理学 2023-08-21 Wung-Hong Huang

Recent experimental and theoretical developments in many-body quantum systems motivate the study of their out-of-equilibrium properties through multi-time correlation functions. We consider the dynamics of higher-order out-of-time-order…

量子物理 · 物理学 2025-06-24 Felix Fritzsch , Pieter W. Claeys

The out-of-time-order correlator (OTOC) of simple harmonic oscillator with extra anharmonic (quartic) interaction are calculated by the second quantization method. We obtain the analytic formulas of spectrum, Fock space states and matrix…

高能物理 - 理论 · 物理学 2023-12-29 Wung-Hong Huang

We investigate both theoretically and numerically the dynamics of Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly…

量子物理 · 物理学 2024-01-30 Guanling Li , Wen-Lei Zhao

The out-of-time-order correlator (OTOC) quantifies information scrambling in quantum systems and serves as a key diagnostic of quantum chaos. In one-body systems with a classical counterpart, the relaxation of the OTOC is governed by…

量子物理 · 物理学 2026-03-03 Jerónimo Duarte , Ignacio García-Mata , Diego A. Wisniacki

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…

量子物理 · 物理学 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

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…

量子物理 · 物理学 2024-06-11 Naga Dileep Varikuti , Vaibhav Madhok

In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local…

量子物理 · 物理学 2021-01-22 Georgios Styliaris , Namit Anand , Paolo Zanardi
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