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The Krylov subspace expansion is a workhorse method for sparse numerics that has been increasingly explored as source of physical insight into many-body dynamics in recent years. In this work we revisit the venerable Anderson model of…

无序系统与神经网络 · 物理学 2026-02-25 J. Clayton Peacock , Vadim Oganesyan , Dries Sels

We present a new scheme to efficiently establish entanglement between optical modes in a time-multiplexed coherent Ising machine (CIM) by means of nonlocal measurement and feedback. We numerically simulate and evaluate the generation of…

量子物理 · 物理学 2019-06-13 Ryotatsu Yanagimoto , Peter L. McMahon , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

The stability of localization in the presence of interactions remains an open problem, with finite-size effects posing significant challenges to numerical studies. In this work, we investigate the perturbative stability of noninteracting…

强关联电子 · 物理学 2025-11-05 Jessica Kaijia Jiang , Federica Maria Surace , Olexei I. Motrunich

We introduce the notion of transmission time to study the dynamics of disordered quantum spin chains and prove results relating its behavior to many-body localization properties. We also study two versions of the so-called Local Integrals…

数学物理 · 物理学 2022-01-12 Bruno Nachtergaele , Jake Reschke

Local integrals of motion play a central role in the understanding of many-body localization in many-body quantum systems in one dimension subject to a random external potential, but the question of how these local integrals of motion…

无序系统与神经网络 · 物理学 2023-05-24 S. J. Thomson , M. Schiró

Recently, it has been suggested that the Many-Body Localized phase can be characterized by local integrals of motion. Here we introduce a Hilbert space preserving renormalization scheme that iteratively finds such integrals of motion…

强关联电子 · 物理学 2016-01-13 Louk Rademaker , Miguel Ortuño

We study many-body localization (MBL) and delocalization from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. However, IOMs exist for all…

强关联电子 · 物理学 2021-01-29 Louk Rademaker , Miguel Ortuno , Andres M. Somoza

Two electrons move in a quasi one--dimensional wire under the influence of a short--range interaction. We restrict Hilbert space to those states where the two electrons are close to each other. Using supersymmetry, we present a complete…

无序系统与神经网络 · 物理学 2009-11-07 Jean Richert , Hans A. Weidenmueller

The emergent integrability in a many-body localized (MBL) system can be well characterized by the existence of the complete set of local integrals of motion (LIOMs). Such exactly conserved and exponentially localized operators are often…

无序系统与神经网络 · 物理学 2023-03-29 Z. Gholami , M. Amini , M. Soltani , E. Ghanbari-Adivi

We study the many body localization (MBL) transition for interacting fermions subject to quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL phase as time-averaged local operators. We study numerically…

无序系统与神经网络 · 物理学 2021-06-16 Hansveer Singh , Brayden Ware , Romain Vasseur , Sarang Gopalakrishnan

Numerical time evolution of transport states using time dependent Density Matrix Renormalization Group (td-DMRG) methods has turned out to be a powerful tool to calculate the linear and finite bias conductance of interacting impurity…

强关联电子 · 物理学 2010-04-26 Alexander Branschädel , Guenter Schneider , Peter Schmitteckert

We study a partially disordered one-dimensional system with interacting particles. Concretely, we impose a disorder potential to only every other site, followed by a clean site. Our numerical analysis of eigenstate properties is based on…

量子气体 · 物理学 2024-03-29 Suman Mondal , Fabian Heidrich-Meisner

Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a…

数学物理 · 物理学 2017-11-22 Wojciech De Roeck , John Z. Imbrie

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

无序系统与神经网络 · 物理学 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

The entanglement can be localized between two noncomplementary parts of a many-body system by performing measurements on the rest of the system. This localized entanglement (LE) depends on the chosen basis set of measurement (BSM). We…

量子物理 · 物理学 2012-11-20 Shaon Sahoo

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

无序系统与神经网络 · 物理学 2009-11-07 Jean Richert , Hans A. Weidenmuller

Enhanced experimental capabilities to control nonlocal and power-law decaying interactions are currently fuelling intense research in the domain of quantum many-body physics. Compared to their counterparts with short-ranged interactions,…

统计力学 · 物理学 2025-09-16 Robert Mattes , Igor Lesanovsky , Federico Carollo

We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads…

量子物理 · 物理学 2007-05-23 M. Popp , F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

In this work we formulate an efficient method for the description of many-body localized systems in weak contact with thermal environments at temperature $T$. For this purpose we exploit the representation of the system in terms of…

无序系统与神经网络 · 物理学 2019-07-08 Ling-Na Wu , Alexander Schnell , Giuseppe De Tomasi , Markus Heyl , André Eckardt

We construct a complete set of quasi-local integrals of motion for the many-body localized phase of interacting fermions in a disordered potential. The integrals of motion can be chosen to have binary spectrum $\{0,1\}$, thus constituting…

无序系统与神经网络 · 物理学 2015-01-05 V. Ros , M. Mueller , A. Scardicchio