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Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

统计力学 · 物理学 2015-03-17 Analabha Roy , Arnab Das

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha}$ with distance and $\alpha<2$.…

无序系统与神经网络 · 物理学 2020-09-02 Benedikt Kloss , Yevgeny Bar Lev

In the context of the Many-Body-Localization phenomenology we consider arbitrarily large one-dimensional local spin systems, the XXZ model with random magnetic field is a prototypical example. Without assuming the existence of exponentially…

无序系统与神经网络 · 物理学 2025-08-19 Daniele Toniolo , Sougato Bose

We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are described by Heisenberg and Ising models. We consider decoherence, entanglement and relaxation processes induced by the…

量子物理 · 物理学 2014-10-17 Lucile Aubourg , David Viennot

We propose new Lieb-Robinson bounds (bounds on the speed of propagation of information in quantum systems) with an explicit dependence on the interaction strengths of the Hamiltonian. For systems with more than two interactions it is found…

数学物理 · 物理学 2014-11-20 Isabeau Prémont-Schwarz , Jeff Hnybida

We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the…

数学物理 · 物理学 2025-02-18 Israel Michael Sigal , Jingxuan Zhang

We review the current (as of Fall 2016) status of the studies on the emergent integrability in many-body localized models. We start by explaining how the phenomenology of fully many-body localized systems can be recovered if one assumes the…

无序系统与神经网络 · 物理学 2017-08-02 J. Z. Imbrie , V. Ros , A. Scardicchio

On physical grounds, one expects locally interacting quantum many-body systems to feature a finite group velocity. This intuition is rigorously underpinned by Lieb-Robinson bounds that state that locally interacting Hamiltonians with…

量子物理 · 物理学 2026-01-05 J. Eisert

We consider the propagation of a single particle in a random chain, assisted by the coupling to dispersive bosons. Time evolution treated with rate equations for hopping between localized states reveals a qualitative difference between…

强关联电子 · 物理学 2018-10-04 P. Prelovsek , J. Bonca , M. Mierzejewski

We investigate real-space localization in the few-particle regime of the XXZ spin-$1/2$ chain with a random magnetic field. Our investigation focuses on the time evolution of the spatial variance of non-equilibrium densities, as resulting…

强关联电子 · 物理学 2017-04-13 Daniel Schmidtke , Robin Steinigeweg , Jacek Herbrych , Jochen Gemmer

We characterise and study dynamical localisation of a finite interacting quantum many-body system. We present explicit bounds on the disorder strength required for the onset of localisation of the dynamics of arbitrary ensemble of sites of…

数学物理 · 物理学 2014-02-07 P. -L. Giscard , Z. Choo , M. T. Mitchison , J. J. Mendoza-Arenas , D. Jaksch

We consider the time-dependent Schr\"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of particle transport in these systems that is…

数学物理 · 物理学 2023-11-15 Marius Lemm , Carla Rubiliani , Jingxuan Zhang

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

无序系统与神经网络 · 物理学 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

We study the breakdown of Anderson localization in the one-dimensional nonlinear Klein-Gordon chain, a prototypical example of a disordered classical many-body system. A series of numerical works indicate that an initially localized wave…

统计力学 · 物理学 2025-01-03 Wojciech De Roeck , François Huveneers , Oskar A. Prośniak

Many-body localisation in disordered systems in one spatial dimension is typically understood in terms of the existence of an extensive number of (quasi)-local integrals of motion (LIOMs) which are thought to decay exponentially with…

无序系统与神经网络 · 物理学 2024-02-02 C. Bertoni , J. Eisert , A. Kshetrimayum , A. Nietner , S. J. Thomson

We consider a one-dimensional mono-atomic lattice with random perturbations of masses spread over a finite number of particles. Assuming Newtonian dynamics and linear nearest-neighbour interactions and allowing for a provision of pinning…

概率论 · 数学 2024-01-30 Josselin Garnier , Basant Lal Sharma

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

无序系统与神经网络 · 物理学 2023-03-30 S. J. Thomson

We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This leads to a many-body localized regime of excited states with…

数学物理 · 物理学 2022-10-13 Houssam Abdul-Rahman , Robert Sims , Günter Stolz

We study spin transport in a Hubbard chain with strong, random, on--site potential and with spin--dependent hopping integrals, $t_{\sigma}$. For the the SU(2) symmetric case, $t_{\uparrow} =t_{\downarrow}$, such model exhibits only partial…

强关联电子 · 物理学 2019-05-15 M. Sroda , P. Prelovsek , M. Mierzejewski

This paper analyzes theoretically the signal propagation in spin transport by modulating the current passing through magnetic multilayers. Using a macroscopic description of spin transport based on the dynamical Boltzmann equation, we show…

其他凝聚态物理 · 物理学 2009-11-13 Yao-Hui Zhu , Burkard Hillebrands , Hans Christian Schneider