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The fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists. We define the corresponding…

High Energy Physics - Theory · Physics 2019-02-11 Hrant Gharibyan , Masanori Hanada , Stephen H. Shenker , Masaki Tezuka

Parafermions are exotic quasiparticles with non-Abelian fractional statistics that could be exploited to realize universal topological quantum computing. Here, we study the scrambling of quantum information in one-dimensional parafermionic…

Quantum Physics · Physics 2021-06-02 Shun-Yao Zhang , Dong-Ling Deng

A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory…

Quantum Physics · Physics 2025-03-05 Tara Kalsi , Alessandro Romito , Henning Schomerus

We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as a…

Quantum Physics · Physics 2024-11-07 Himanshu Sahu

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

Quantum information scrambling (QIS), from the perspective of quantum information theory, is generally understood as local non-retrievability of information evolved through some dynamical process, and is often quantified via entropic…

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

Tripartite mutual information (TMI) is an efficient observable to quantify the ability of scrambler for unitary time-evolution operator with quenched many-body Hamiltonian. In this paper, we give numerical demonstrations of the TMI in…

Disordered Systems and Neural Networks · Physics 2022-09-13 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

We investigate disordered one- and two-dimensional Heisenberg spin lattices across a transition from integrability to quantum chaos from both a statistical many-body and a quantum-information perspective. Special emphasis is devoted to…

Quantum Physics · Physics 2009-11-13 Winton G. Brown , Lea F. Santos , David J. Starling , Lorenza Viola

We present a new technique for efficiently simulating (in polynomial time) a class of one-dimensional (1D) dissipative spin chains that, when mapped to fermions, have quadratic Hamiltonians, with the only nonlinearity coming from…

Quantum Physics · Physics 2025-09-24 Andrew Pocklington , Aashish A. Clerk

The theory of quantum information provides a common language which links disciplines ranging from cosmology to condensed-matter physics. For example, the delocalization of quantum information in strongly-interacting many-body systems, known…

We consider the Brownian SYK model of $N$ interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered correlators (OTOCs) of arbitrary observables and the…

Quantum Physics · Physics 2019-11-14 Christoph Sünderhauf , Lorenzo Piroli , Xiao-Liang Qi , Norbert Schuch , J. Ignacio Cirac

In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially…

High Energy Physics - Theory · Physics 2022-06-22 Kanato Goto , Ali Mollabashi , Masahiro Nozaki , Kotaro Tamaoka , Mao Tian Tan

Multipartite entanglement is a crucial resource for advancing quantum technologies, with considerable research efforts directed toward achieving its rapid and scalable generation. In this work, we derive an analytical expression for the…

Quantum Physics · Physics 2025-10-21 Hai-Long Shi , Augusto Smerzi , Luca Pezzè

We develop an effective continuum description for information scrambling in a chain of randomly interacting Majorana fermions. The approach is based on the semiclassical treatment of the path integral for an effective spin chain that…

Statistical Mechanics · Physics 2026-01-30 Tobias Swann , Adam Nahum

Local excitations as carriers of quantum information spread out in the system in ways governed by the underlying interaction and symmetry. Understanding this phenomenon, also called quantum scrambling, is a prerequisite for employing…

Strongly Correlated Electrons · Physics 2021-12-21 M. Sekania , M. Melz , N. Sedlmayr , Sunil K. Mishra , J. Berakdar

Entanglement sharing among sites of one-particle states is considered using the measure of concurrence. These are the simplest in an hierarchy of number-specific states of many qubits and corresponds to ``one-magnon'' states of spins. We…

Quantum Physics · Physics 2009-11-07 Arul Lakshminarayan , V. Subrahmanyam

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…

Quantum Physics · Physics 2019-12-11 Jan Tuziemski

Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Information scrambling is intimately linked to the thermalization of isolated quantum…

Quantum Physics · Physics 2024-11-26 Ricardo Puebla , Fernando J. Gómez-Ruiz

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands
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