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We study the bipartite von Neumann entanglement entropy and matrix elements of local operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin-1/2 XXZ chain), and we contrast their behavior with that of…

Statistical Mechanics · Physics 2020-01-01 Tyler LeBlond , Krishnanand Mallayya , Lev Vidmar , Marcos Rigol

We study various quantum quench processes induced by the M\"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space.…

High Energy Physics - Theory · Physics 2024-04-04 Kanato Goto , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka , Mao Tian Tan

In this study, we explore the information capacity of open quantum systems, focusing on the effective channels formed by the subsystem of random quantum circuits and quantum Hamiltonian evolution. By analyzing the subsystem information…

Quantum Physics · Physics 2025-06-26 Yu-Qin Chen , Shuo Liu , Shi-Xin Zhang

Operator scrambling, which governs the spread of quantum information in many-body systems, is a central concept in both condensed matter and high-energy physics. Accurately capturing the emergent properties of these systems remains a…

Quantum Physics · Physics 2025-07-01 Tianfeng Feng , Yue Cao , Qi Zhao

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

Statistical Mechanics · Physics 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

In this paper, we study random features manifested in components of energy eigenfunctions of quantum chaotic systems, given in the basis of unperturbed, integrable systems. Based on semiclassical analysis, particularly on Berry's…

Statistical Mechanics · Physics 2023-03-31 Jiaozi Wang , Wen-ge Wang

Noise on quantum devices is much more complex than it is commonly given credit. Far from usual models of decoherence, nearly all quantum devices are plagued both by a continuum of environments and temporal instabilities. These induce noisy…

Quantum Physics · Physics 2025-08-27 Gregory A. L. White , Petar Jurcevic , Charles D. Hill , Kavan Modi

A universal relation is established between the quantum work probability distribution of an isolated driven quantum system and the Loschmidt echo dynamics of a two-mode squeezed state. When the initial density matrix is canonical, the…

Quantum Physics · Physics 2018-08-24 Aurélia Chenu , Iñigo L. Egusquiza , Javier Molina-Vilaplana , Adolfo del Campo

A possible solution of the information paradox can be sought in quantum information scrambling. In this paradigm, it is postulated that all information entering a black hole is rapidly and chaotically distributed across the event horizon…

Quantum Physics · Physics 2021-01-20 Akram Touil , Sebastian Deffner

Strongly long-range interacting quantum systems---those with interactions decaying as a power-law $1/r^{\alpha}$ in the distance $r$ on a $D$-dimensional lattice for $\alpha\le D$---have received significant interest in recent years. They…

Quantum Physics · Physics 2020-07-15 Andrew Y. Guo , Minh C. Tran , Andrew M. Childs , Alexey V. Gorshkov , Zhe-Xuan Gong

Our current understanding of quantum chaos in many-body quantum systems hinges on the random matrix theory(RMT) behavior of eigenstates and their energy level statistics. Although RMT has been remarkably successful in describing `coarse'…

Statistical Mechanics · Physics 2025-08-05 Christopher M. Langlett , Joaquin F. Rodriguez-Nieva

In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density $n$. We first derive the effective theory for…

Strongly Correlated Electrons · Physics 2023-05-15 Pengfei Zhang

Quantum information scrambling describes the delocalization of local information to global information in the form of entanglement throughout all possible degrees of freedom. A natural measure of scrambling is the tripartite mutual…

Quantum Physics · Physics 2021-09-06 Jhen-Dong Lin , Wei-Yu Lin , Huan-Yu Ku , Neill Lambert , Yueh-Nan Chen , Franco Nori

We study the properties of bi-squeezed tripartite Gaussian states created by two spontaneous parametric down-conversion processes that share a common idler. We give a complete description of the quantum correlations across of all…

Quantum Physics · Physics 2017-06-23 David Edward Bruschi , Carlos Sabín , Gheorghe Sorin Paraoanu

The eigenstate entanglement entropy has been recently shown to be a powerful tool to distinguish integrable from generic quantum-chaotic models. In integrable models, a unique feature of the average eigenstate entanglement entropy (over all…

Statistical Mechanics · Physics 2020-11-05 Patrycja Łydżba , Marcos Rigol , Lev Vidmar

We investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a…

High Energy Physics - Theory · Physics 2015-10-07 Curtis T. Asplund , Alice Bernamonti , Federico Galli , Thomas Hartman

Adopting a statistical approach we study the degradation of entanglement of a quantum system under the action of an ensemble of randomly distributed Markovian noise. This enables us to address scenarios where only limited information is…

Quantum Physics · Physics 2025-03-07 Nunzia Cerrato , Giacomo De Palma , Vittorio Giovannetti

Operator scrambling is a crucial ingredient of quantum chaos. Specifically, in the quantum chaotic system, a simple operator can become increasingly complicated under unitary time evolution. This can be diagnosed by various measures such as…

Strongly Correlated Electrons · Physics 2018-04-25 Xiao Chen , Tianci Zhou

We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or -fermion state, based on the notion of the entanglement of particles for bipartite systems of identical…

Quantum Physics · Physics 2011-08-04 Fabrizio Buscemi , Paolo Bordone

Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size $N$. We propose and investigate a family of deterministic, fast scrambling quantum circuits…

Quantum Physics · Physics 2022-02-24 Tomohiro Hashizume , Gregory Bentsen , Sebastian Weber , Andrew J. Daley
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