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Scrambling is a diagnostic of quantum chaos in strongly coupled systems, and plays a central role in the holographic description of black hole dynamics. We study scrambling in high-temperature holographic CFTs, with an emphasis on…

High Energy Physics - Theory · Physics 2025-11-06 Juan Hernandez , Andrew Rolph

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We study the scrambling of quantum information in local random unitary circuits by focusing on the tripartite information proposed by Hosur et al. We provide exact results for the averaged R\'enyi-$2$ tripartite information in two cases:…

Statistical Mechanics · Physics 2020-08-18 Bruno Bertini , Lorenzo Piroli

The study of information scrambling in many-body systems has sharpened our understanding of quantum chaos, complexity and gravity. Here, we extend the framework for exploring information scrambling to infinite dimensional continuous…

Quantum Physics · Physics 2019-06-26 Quntao Zhuang , Thomas Schuster , Beni Yoshida , Norman Y. Yao

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

Understanding various phenomena in non-equilibrium dynamics of closed quantum many-body systems, such as quantum thermalization, information scrambling, and nonergodic dynamics, is a crucial for modern physics. Using a ladder-type…

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

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…

Quantum Physics · Physics 2021-01-22 Georgios Styliaris , Namit Anand , Paolo Zanardi

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…

Quantum Physics · Physics 2023-06-12 Tomás Notenson , Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

Thermalization of chaotic quantum many-body systems under unitary time evolution is related to the growth in complexity of initially simple Heisenberg operators. Operator growth is a manifestation of information scrambling and can be…

Strongly Correlated Electrons · Physics 2019-09-19 Shenglong Xu , Brian Swingle

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…

Strongly Correlated Electrons · Physics 2024-07-12 Samudra Sur , Diptiman Sen

We study quantum information scrambling in spin models with both long-range all-to-all and short-range interactions. We argue that a simple global, spatially homogeneous interaction together with local chaotic dynamics is sufficient to give…

In the current manuscript we perform a systematic investigation about the effects of nonlocal interaction to the spread of quantum information in many body system. In particular, we have studied how nonlocality influence the existing bound…

High Energy Physics - Theory · Physics 2022-08-24 Sandip Mahish , Karunava Sil

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

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective…

Quantum Physics · Physics 2020-07-17 Soonwon Choi , Yimu Bao , Xiao-Liang Qi , Ehud Altman

We study the robustness of quantum and classical information to perturbations implemented by local operator insertions. We do this by computing multipartite entanglement measures in the Hilbert space of local operators in the Heisenberg…

High Energy Physics - Theory · Physics 2021-08-25 Jonah Kudler-Flam , Masahiro Nozaki , Shinsei Ryu , Mao Tian Tan

Random transformations are typically good at "scrambling" information. Specifically, in the quantum setting, scrambling usually refers to the process of mapping most initial pure product states under a unitary transformation to states which…

Quantum Physics · Physics 2013-07-04 Winton Brown , Omar Fawzi

Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalizaiton-irreversibility in many-body systems. Here we propose an unconventional…

Quantum Physics · Physics 2019-09-19 Xiaopeng Li , Guanyu Zhu , Muxin Han , Xin Wang

Today's experimental noisy quantum processors can compete with and surpass all known algorithms on state-of-the-art supercomputers for the computational benchmark task of Random Circuit Sampling [1-5]. Additionally, a circuit-based quantum…

Quantum Physics · Physics 2024-01-22 K. Kechedzhi , S. V. Isakov , S. Mandrà , B. Villalonga , X. Mi , S. Boixo , V. Smelyanskiy

Out-of-time-order correlators (OTOCs) can be used to probe how quickly a quantum system scrambles information when the initial conditions of the dynamics are changed. In sufficiently large quantum systems, one can extract from the OTOC the…

Chemical Physics · Physics 2022-03-31 Chenghao Zhang , Peter G. Wolynes , Martin Gruebele