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The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich of counter-intuitive…

Disordered Systems and Neural Networks · Physics 2013-07-09 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

The study of generic properties of quantum states has led to an abundance of insightful results. A meaningful set of states that can be efficiently prepared in experiments are ground states of gapped local Hamiltonians, which are well…

Quantum Physics · Physics 2022-05-03 Jonas Haferkamp , Christian Bertoni , Ingo Roth , Jens Eisert

Localization in one-dimensional disordered or quasiperiodic non-interacting systems in presence of power-law hopping is very different from localization in short-ranged systems. Power-law hopping leads to algebraic localization as opposed…

Disordered Systems and Neural Networks · Physics 2019-11-27 Madhumita Saha , Santanu K. Maiti , Archak Purkayastha

The nature of delocalization in a 1D system ruled by a tight-binding Hamiltonian is investigated. Using a local evaluation of the ground state energy, it is shown that the range of the delocalization effects is rather limited. The method is…

Strongly Correlated Electrons · Physics 2007-05-23 Arnaud Boullanger , Vincent Robert

Experiments have demonstrated that the strong light-matter coupling in polaritonic microcavities significantly enhances transport. Motivated by these experiments, we have solved the disordered multimode Tavis-Cummings model in the…

Optics · Physics 2023-06-01 Georg Engelhardt , Jianshu Cao

We study localization in two- and three channel quasi-1D systems using multichain tight-binding Anderson models with nearest-neighbour interchain hopping. In the three chain case we discuss both the case of free- and that of periodic…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Heinrichs

Quantum transport through disordered structures is inhibited by (Anderson) localization effects. The disorder can be either topological as in random networks or energetical as in the original Anderson model. In both cases the eigenstates of…

Statistical Mechanics · Physics 2016-02-23 Oliver Muelken

As an unusual type of anomalous diffusion behavior, the (transient) superballistic transport has been experimentally observed recently but it is not well understood yet. In this paper, we investigate the white noise effect (in Markov…

Quantum Physics · Physics 2017-03-02 Ehsan Gholami , Zahra Mohammaddoust Lashkami

We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at…

Quantum Physics · Physics 2015-06-16 Jun Jing , Lian-Ao Wu , Marcelo S. Sarandy , J. Gonzalo Muga

We demonstrate experimentally an efficient control of light intensity distribution inside a random scattering system. The adaptive wavefront shaping technique is applied to a silicon waveguide containing scattering nanostructures, and the…

Optics · Physics 2016-08-24 Raktim Sarma , Alexey Yamilov , Sasha Petrenko , Yaron Bromberg , Hui Cao

We study how the influence of structural correlations in disordered systems manifests itself in experimentally measurable magnitudes, focusing on dc conductance of semiconductor superlattices with general potential profiles. We show that…

Condensed Matter · Physics 2009-10-22 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

We numerically study excitation transfer in an artificial LH1-RC complex -- an $N$-site donor ring coupled to a central acceptor -- driven by a narrowband optical mode and evolved under a Lindblad master equation with loss and dephasing. In…

Optics · Physics 2025-09-27 Stephon Alexander , Roger Andrews , Oliver Fox , Sarben Sarkar

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

We study the structure of the electronic states and the transport properties of a Kronig-Penney model with weak compositional and structural disorder. Using a perturbative approach we obtain an analytical expression for the localisation…

Disordered Systems and Neural Networks · Physics 2015-05-18 J. C. Hernandez-Herrejon , F. M. Izrailev , L. Tessieri

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Jannatul Ferdous , Cem Yuce , Andrea Alù , Hamidreza Ramezani

We study the statistics of the conductance $g$ through one-dimensional disordered systems where electron wavefunctions decay spatially as $|\psi| \sim \exp (-\lambda r^{\alpha})$ for $0 <\alpha <1$, $\lambda$ being a constant. In contrast…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Victor A. Gopar

We study the creation and distribution of entanglement in disordered $XY$-type spin-$1/2$ chains for the paradigmatic case of a single flipped spin prepared on a fully polarized background. The local magnetic field is set to follow a…

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske