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The quantum-to-classical correspondence is often quantified in dynamics by a quantity referred to as the out-of-time-order correlator (OTOC). In chaotic systems, the OTOC is expected to grow exponentially at early time, characteristic of a…

Quantum Physics · Physics 2023-03-24 Hui Li , Eli Halperin , Reuben R. W. Wang , John L. Bohn

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

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…

Quantum Physics · Physics 2026-03-03 Jerónimo Duarte , Ignacio García-Mata , Diego A. Wisniacki

We analytically study the Out-of-Time-Order Correlation functions (OTOC) for two spatially separated primary operators in two-dimensional unitary minimal models. Besides giving general arguments using the conformal symmetry, we also use the…

High Energy Physics - Theory · Physics 2018-09-20 Ruihua Fan

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

In this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system's dynamical laws? To answer this question we first define generalized tensor product structures (gTPS) in…

Quantum Physics · Physics 2024-07-17 Paolo Zanardi , Emanuel Dallas , Faidon Andreadakis , Seth Lloyd

We study ultrafast ionization dynamics using orthogonally polarized two-color (OTC) laser pulses involving the resonant "first plus second" ($\omega+2\omega$) scheme. The scheme is illustrated by numerical simulations of the time-dependent…

Atomic Physics · Physics 2019-12-16 Hicham Agueny

Operator spreading, often characterized by out-of-time-order correlators (OTOCs), is one of the central concepts in quantum many-body physics. However, measuring OTOCs is experimentally challenging due to the requirement of reversing the…

It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that also the dispersion of information has to depend on the…

Quantum Physics · Physics 2024-04-19 Devjyoti Tripathy , Akram Touil , Bartłomiej Gardas , Sebastian Deffner

Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying quantum information transport, information scrambling and quantum chaos. In this work we show that such OTO correlator can also be used to dynamically…

Strongly Correlated Electrons · Physics 2018-07-05 Markus Heyl , Frank Pollmann , Balázs Dóra

The question of how swiftly entanglement spreads over a system has attracted vital interest. In this regard, the out-of-time ordered correlator (OTOC) is a quantitative measure of the entanglement spreading process. Particular interest…

Quantum Physics · Physics 2022-02-08 A. K. Singh , Kushagra Sachan , L. Chotorlishvili , Vipin V. , Sunil K. Mishra

Dynamic correlations of quantum observables are challenging to measure due to measurement backaction incurred at early times. Recent work [P. Uhrich et al., Phys. Rev. A, 96:022127 (2017)] has shown that ancilla-based noninvasive…

Quantum Physics · Physics 2018-10-01 Michael Kastner , Philipp Uhrich

Quantum many body system in equilibrium can be effectively characterized using the framework of quantum statistical mechanics. However, nonequilibrium behaviour of quantum many body systems remains elusive, out of the range of such a well…

Quantum Physics · Physics 2020-05-14 Bing Chen , Xianfei Hou , Feifei Zhou , Peng Qian , Heng Shen , Nanyang Xu

We demonstrate that a weakly disordered metal with short-range interactions exhibits a transition in the quantum chaotic dynamics when changing the temperature or the interaction strength. For weak interactions, the system displays…

Mesoscale and Nanoscale Physics · Physics 2019-03-29 S. V. Syzranov , A. V. Gorshkov , V. M. Galitski

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…

High Energy Physics - Theory · Physics 2022-03-24 Yingfei Gu , Alexei Kitaev , Pengfei Zhang

As quantum technology advances, quantum simulation becomes increasingly promising, with significant implications for quantum many-body physics and quantum chemistry. Despite being one of the most accessible simulation methods, the product…

Quantum Physics · Physics 2024-07-22 Wenjun Yu , Jue Xu , Qi Zhao

Using the key properties of chaos, i.e. ergodicity and exponential instability, as a resource to control classical dynamics has a long and considerable history. However, in the context of controlling "chaotic" quantum unitary dynamics, the…

Quantum Physics · Physics 2025-12-17 Lukas Beringer , Mathias Steinhuber , Klaus Richter , Steven Tomsovic

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

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

Observations of quantum systems carried out by finite observers who subsequently communicate their results using classical data structures can be described as "local operations, classical communication" (LOCC) observations. The…

Quantum Physics · Physics 2012-12-20 Chris Fields
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