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The scrambling rate $\lambda_L$ associated with the exponential growth of out-of-time-ordered correlators can be used to characterize quantum chaos. Here we use the Majorana Fermion representation of spin $1/2$ systems to study quantum…

Statistical Mechanics · Physics 2019-04-10 Yahya Alavirad , Ali Lavasani

How are the spatial and temporal patterns of information scrambling in locally interacting quantum many-body systems imprinted on the eigenstates of the system's time-evolution operator? We address this question by identifying statistical…

Quantum Physics · Physics 2025-07-04 Bikram Pain , Ratul Thakur , Sthitadhi Roy

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

Quantum Physics · Physics 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

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

Complex quantum many-body dynamics spread initially localized quantum information across the entire system. Information scrambling refers to such a process, whose simulation is one of the promising applications of quantum computing. We…

Quantum Physics · Physics 2025-04-15 Kazuhiro Seki , Yuta Kikuchi , Tomoya Hayata , Seiji Yunoki

In a locally interacting many-body system, two isolated qubits, separated by a large distance $r$, become correlated and entangled with each other at a time $t \ge r/v$. This finite speed $v$ of quantum information scrambling limits quantum…

Quantum Physics · Physics 2019-12-25 Chi-Fang Chen , Andrew Lucas

The onset of quantum chaos in quantum field theory may be studied using out-of-time-order correlators at finite temperature. Recent work argued that a timescale logarithmic in the central charge emerged in the context of two-dimensional…

High Energy Physics - Theory · Physics 2019-01-02 Chang Liu , David A. Lowe

In quantum many-body systems, interactions play a crucial role in the emergence of information scrambling. When particles interact throughout the system, the entanglement between them can lead to a rapid and chaotic spreading of quantum…

Quantum Physics · Physics 2024-12-04 Qucheng Gao , Tianci Zhou , Pengfei Zhang , Xiao Chen

We study finite temperature properties of a generic spin-orbital model relevant to transition metal compounds, having coupled quantum Heisenberg-spin and Ising-orbital degrees of freedom. The model system undergoes a phase transition,…

Strongly Correlated Electrons · Physics 2009-11-20 C. -C. Chen , B. Moritz , J. van den Brink , T. P. Devereaux , R. R. P. Singh

We apply algorithms based on Lieb-Robinson bounds to simulate time-dependent and thermal quantities in quantum systems. For time-dependent systems, we modify a previous mapping to quantum circuits to significantly reduce the computer…

Quantum Physics · Physics 2009-11-13 M. B. Hastings

We investigate the propagation of local bipartite quantum correlations, along with the tripartite mutual information to characterize the information scrambling through dynamical evolution of spin chains. Starting from an initial state with…

Quantum Physics · Physics 2022-08-23 Saikat Sur , V. Subrahmanyam

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

Understanding how and whether local perturbations can affect the entire quantum system is a fundamental step in understanding non-equilibrium phenomena such as thermalization. This knowledge of non-equilibrium phenomena is applicable for…

Disordered Systems and Neural Networks · Physics 2024-04-03 Eric Mascot , Masahiro Nozaki , Masaki Tezuka

Quantum magnets with a large SU($N$) symmetry are a promising playground for the discovery of new forms of exotic quantum matter. Motivated by recent experimental efforts to study SU($N$) quantum magnetism in samples of ultracold fermionic…

Quantum Gases · Physics 2020-10-07 Christian Romen , Andreas M. Läuchli

Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties, including unconventional quantum criticality and topology. Here we study how quantum information and correlations spread under a quantum…

Statistical Mechanics · Physics 2023-01-18 Xhek Turkeshi , Marco Schiró

Topological insulators and superconductors have attracted considerable attention, and many different theoretical tools have been used to gain insight into their properties. Here we investigate how perturbations can spread through exemplary…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Martyna Sedlmayr , Hadi Cheraghi , Nicholas Sedlmayr

We study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment at a rate $p$. As a result, initially localized quantum information not only spreads within the system, but also spills into the…

Quantum Physics · Physics 2023-12-05 Zack Weinstein , Shane P. Kelly , Jamir Marino , Ehud Altman

We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at…

Statistical Mechanics · Physics 2007-05-23 F. De Pasquale , S. M. Giampaolo

Information in a chaotic quantum system will scramble across the system, preventing any local measurement from reconstructing it. The scrambling dynamics is key to understanding a wide range of quantum many-body systems. Here we use Holevo…

Quantum Physics · Physics 2022-10-25 J. -Z. Zhuang , Y. -K. Wu , L. -M. Duan

Entangled solid state systems have gained a great deal of attention due to their fruitful applications in modern quantum technologies. Herein, detection of entanglement content from experimental magnetic susceptibility and specific heat…

Strongly Correlated Electrons · Physics 2019-06-10 Tanmoy Chakraborty , Harkirat Singh , Chiranjib Mitra