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We study out-of-time-ordered correlation (OTOC) functions in various random quantum circuits and show that the average dynamics is governed by a Markovian propagator. This is then used to study relaxation of OTOC to its long-time average…

量子物理 · 物理学 2022-04-01 Jas Bensa , Marko Znidaric

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

The spatiotemporal evolution of the out-of-time-order correlator (OTOC) measures the propagation and scrambling of local quantum information. For the transverse field Ising model with open boundaries, the local operator $\sigma^{x}$ shows…

强关联电子 · 物理学 2024-07-12 Samudra Sur , Diptiman Sen

In the study of quantum chaos, `out of time ordered correlators' (OTOCs) are commonly used to quantify the rate at which quantum information is scrambled. This rate has been conjectured by Maldecena et al. to obey a universal, temperature…

量子物理 · 物理学 2025-12-02 Andrew C. Hunt

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

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

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…

高能物理 - 理论 · 物理学 2020-09-17 Sayantan Choudhury

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 study signatures of chaos in the quantum Lifshitz model through out-of-time ordered correlators (OTOC) of current operators. This model is a free scalar field theory with dynamical critical exponent $z=2$. It describes the quantum phase…

强关联电子 · 物理学 2018-07-04 Eugeniu Plamadeala , Eduardo Fradkin

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…

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…

量子物理 · 物理学 2023-10-26 Devvrat Tiwari , Subhashish Banerjee

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

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 idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of both condensed matter systems and gravitational systems. It not only plays a key role in investigating the holographic duality between a strongly…

强关联电子 · 物理学 2017-07-26 Jun Li , Ruihua Fan , Hengyan Wang , Bingtian Ye , Bei Zeng , Hui Zhai , Xinhua Peng , Jiangfeng Du

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

OTOC has been used to characterize the information scrambling in quantum systems. Recent studies showed that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In…

统计力学 · 物理学 2023-01-11 Vinitha Balachandran , Dario Poletti

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

We demonstrate that two-time correlation functions, which are generalizations of out-of-time-ordered correlators (OTOCs), can show 'false-flags' of chaos by exhibiting behaviour predicted by random matrix theory even in a system with…

量子物理 · 物理学 2021-10-27 W. Kirkby , D. H. J. O'Dell , J. Mumford

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

Recent theoretical and experimental studies have shown significance of quantum information scrambling (i.e. a spread of quantum information over a system degrees of freedom) for problems encountered in high-energy physics, quantum…

量子物理 · 物理学 2019-12-11 Jan Tuziemski
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