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Related papers: Quantum scrambling with classical shadows

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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) and entanglement are two physically motivated and widely used probes of the "scrambling" of quantum information, a phenomenon that has drawn great interest recently in quantum gravity and many-body…

Quantum Physics · Physics 2021-06-16 Aram W. Harrow , Linghang Kong , Zi-Wen Liu , Saeed Mehraban , Peter W. Shor

Scrambling is a key concept in the analysis of nonequilibrium properties of quantum many-body systems. Most studies focus on its characterization via out-of-time-ordered correlation functions (OTOCs), particularly through the early-time…

Quantum Physics · Physics 2023-04-14 Sivaprasad Omanakuttan , Karthik Chinni , Philip Daniel Blocher , Pablo M. Poggi

We provide a protocol to measure out-of-time-order correlation functions. These correlation functions are of theoretical interest for diagnosing the scrambling of quantum information in black holes and strongly interacting quantum systems…

Quantum Physics · Physics 2016-11-02 Brian Swingle , Gregory Bentsen , Monika Schleier-Smith , Patrick Hayden

Out-of-time ordered (OTO) correlation functions describe scrambling of information in correlated quantum matter. They are of particular interest in incoherent quantum systems lacking well defined quasi-particles. Thus far, it is largely…

Quantum Gases · Physics 2017-06-06 A. Bohrdt , C. B. Mendl , M. Endres , M. Knap

Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate OTOC and analyze the quantum information scrambling in atom-field and…

Quantum Physics · Physics 2025-10-07 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee

The growth of information scrambling, captured by out-of-time-order correlation functions (OTOCs), is a central indicator of the nature of many-body quantum dynamics. Here, we compute analytically the complete time dependence of the OTOC…

High Energy Physics - Theory · Physics 2025-11-21 Antonio M. García-García , Chang Liu , Lucas Sá , Jacobus J. M. Verbaarschot , Jie-ping Zheng

Chaotic dynamics in closed local quantum systems scrambles quantum information, which is manifested quantitatively in the decay of the out-of-time-ordered correlators (OTOC) of local operators. How is information scrambling affected when…

Quantum Physics · Physics 2019-01-16 Yong-Liang Zhang , Yichen Huang , Xie Chen

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

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-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

Many quantitative approaches to the dynamical scrambling of information in quantum systems involve the study of out-of-time-ordered correlators (OTOCs). In this paper, we introduce an algebraic OTOC ($\mathcal{A}$-OTOC) that allows us to…

Quantum Physics · Physics 2023-05-02 Faidon Andreadakis , Namit Anand , Paolo Zanardi

Quantum measurement is a process that involves the interaction between a quantum system and a macroscopic measurement apparatus containing many degrees of freedom. The photodetector is such an apparatus with many electrons interacting with…

Quantum Physics · Physics 2022-08-31 Yubao Liu , Haixing Miao , Yanbei Chen , Yiqiu Ma

Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an…

Quantum Gases · Physics 2021-01-05 Zehan Li , Sayan Choudhury , W. Vincent Liu

Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of…

Quantum Physics · Physics 2023-07-19 Magdalini Zonnios , Jesper Levinsen , Meera M. Parish , Felix A. Pollock , Kavan Modi

The breakdown of Lieb-Robinson bounds in local, non-Hermitian quantum systems opens up the possibility for a rich landscape of quantum many-body phenomenology. We elucidate this by studying information scrambling and quantum chaos in…

Quantum Physics · Physics 2023-10-18 Brian Barch , Namit Anand , Jeffrey Marshall , Eleanor Rieffel , Paolo Zanardi

Quantum scrambling measured by out-of-time-ordered correlator (OTOC) has an important role in understanding the physics of black holes and evaluating quantum chaos. It is known that Rydberg atom has been a general interest due to its…

Quantum Physics · Physics 2018-07-09 Daattavya Aggarwal , Shivam Raj , Bikash K. Behera , Prasanta K. Panigrahi

Interacting many-body quantum systems show a rich array of physical phenomena and dynamical properties, but are notoriously difficult to study: they are challenging analytically and exponentially difficult to simulate on classical…

Quantum simulation elucidates properties of quantum many-body systems by mapping its Hamiltonian to a better-controlled system. Being less stringent than a universal quantum computer, noisy small- and intermediate-scale quantum simulators…

Out of time ordered correlator (OTOC) is recently introduced as a powerful diagnose for quantum chaos. To go beyond, here we present an analytical solution of OTOC for a non-chaotic many body localized (MBL) system, showing distinct feature…

Disordered Systems and Neural Networks · Physics 2016-08-30 Yu Chen