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How fast quantum information scrambles such that it becomes inaccessible by local probes turns out to be central to various fields. Motivated by recent works on spin systems with nonlocal interactions, we study information scrambling in…

Quantum Physics · Physics 2023-05-24 Darvin Wanisch , Juan Diego Arias Espinoza , Stephan Fritzsche

Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signalled by severe suppression of quantum correlation spreading and of entanglement…

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

We propose to define full many-body localization in terms of the recently introduced integrals of motion[Chandran et al., arXiv:1407.8480], which characterize the time-averaged response of the system to a local perturbation. The…

Disordered Systems and Neural Networks · Physics 2014-12-19 Isaac H. Kim , Anushya Chandran , Dmitry A. Abanin

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions.…

Strongly Correlated Electrons · Physics 2013-02-08 Frank Pollmann , Masudul Haque , Balázs Dóra

Multipartite nonlocality has been extensively investigated within one-dimensional quantum lattices. Previous research has primarily focused on the nonlocality measure $S$, which quantifies the violation of Bell-type inequalities. However,…

Quantum Physics · Physics 2026-04-27 Jia Bao , Bin Guo , Shu Qu , Fanqin Xu , Xueyi Lei , Zhaoyu Sun

Quasiperiodic systems serve as fertile ground for studying localisation, due to their propensity already in one dimension to exhibit rich phase diagrams with mobility edges. The deterministic and strongly-correlated nature of the…

Disordered Systems and Neural Networks · Physics 2021-08-11 Alexander Duthie , Sthitadhi Roy , David E. Logan

Recent decades have provided a host of examples and applications motivating the study of nonlocal differential operators. We discuss a class of such operators acting on bounded domains, focusing on those with integrable kernels having…

Analysis of PDEs · Mathematics 2024-08-29 Mikil Foss , Michael Pieper

We introduce a technique to detect and quantify local functional dependencies between coupled chaotic systems. The method estimates the fraction of locally syncronized configurations, in a pair of signals with an arbitrary state of global…

Chaotic Dynamics · Physics 2009-11-10 L. Pastur , S. Boccaletti , P. L. Ramazza

Entanglement of quasiclassical (coherent) states of two harmonic oscillators leads to striking quantum effects and is useful for quantum technologies. These effects and applications are closely related to nonlocal correlations inherent in…

Quantum Physics · Physics 2019-05-14 Zhi-Rong Zhong , Jian-Qi Sheng , Li-Hua Lin , Shi-Biao Zheng

The phenomenon of intrinsic localization in discrete nonlinear extended systems, i.e. the (generic) existence of discrete breathers, is shown to be not restricted to periodic solutions but it also extends to more complex (chaotic) dynamical…

chao-dyn · Physics 2009-10-31 P. J. Martinez , L. M. Floria , F. Falo , J. J. Mazo

We introduce families of one-dimensional Lindblad equations describing open many-particle quantum systems that are exactly solvable in the following sense: $(i)$ the space of operators splits into exponentially many (in system size)…

Statistical Mechanics · Physics 2020-12-15 Fabian H. L. Essler , Lorenzo Piroli

In the present work, we generalize earlier considerations for intrinsic localized modes consisting of a few excited sites, as developed in the one-component discrete nonlinear Schrodinger equation model, to the case of two-component…

Pattern Formation and Solitons · Physics 2012-05-29 K. Li , P. G. Kevrekidis , H. Susanto , V. Rothos

Spin squeezed entanglement enables metrological precision beyond the classical limit. Understood through the lens of continuous symmetry breaking, dipolar spin systems exhibit the remarkable ability to generate spin squeezing via their…

In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform systematic finite-size scaling of both entanglement and participation entropies for long-range Heisenberg chain with unfrustrated power-law decaying…

Strongly Correlated Electrons · Physics 2025-01-08 Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

Ammann-Beenker lattice is a two-dimensional quasicrystal with eight-fold symmetry, which can be described as a projection of a cut from a four-dimensional simple cubic lattice. We consider the vertex tight-binding model on this lattice and…

Disordered Systems and Neural Networks · Physics 2021-07-14 M. Ö. Oktel

Within the tensor network framework, the (positive) thermal density operator can be approximated by a double layer of infinite Projected Entangled Pair Operator (iPEPO) coupled via ancilla degrees of freedom. To investigate the thermal…

Strongly Correlated Electrons · Physics 2021-02-03 Didier Poilblanc , Matthieu Mambrini , Fabien Alet

We prove the existence of exponentially localised and time-periodic solutions in general nonlinear Hamiltonian lattice systems. Like normal modes, these localised solutions are characterised by collective oscillations at the lattice sites…

Pattern Formation and Solitons · Physics 2016-07-14 Dirk Hennig

We consider the problem of constructing the stationary state following a quantum quench, using the exact overlaps for finite size integrable models. We focus on the isotropic Heisenberg spin chain with initial state N\'eel or Majumdar-Ghosh…

Strongly Correlated Electrons · Physics 2016-04-26 Vincenzo Alba , Pasquale Calabrese
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