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The exact universal functional of integer charge leads to an extension to fractional charge asymptotically when it is applied to a system made of asymptotically separated densities. The extended functional is asymptotically local and is…

Chemical Physics · Physics 2024-12-17 Jing Kong

We consider the dynamics of noninteracting electrons on a square lattice in the presence of a magnetic flux {\alpha} and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynamics of an electron will be…

Disordered Systems and Neural Networks · Physics 2016-06-14 Sergej Flach , Ramaz Khomeriki

Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or…

Disordered Systems and Neural Networks · Physics 2025-03-25 Stefano Longhi

Scattering by slowly fluctuating degrees of freedom can cause a transient localization of the current-carrying electrons in metals, driving the system away from normal metallic behavior. We illustrate and characterize this general…

Strongly Correlated Electrons · Physics 2021-08-25 S. Fratini , S. Ciuchi

Properties of one dimensional discrete-time quantum walks are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position dependent coin operators. Deterministic aperiodic sequences of two or…

Quantum Physics · Physics 2018-11-08 R. F. S. Andrade , A. M. C. Souza

We prove that the random Schrodinger operators on $\mathbb{R}^3$ with independent, identically distributed random variables and single-site potentials given by $\delta$-functions on $\mathbb{Z}^3$, exhibit both dynamical localization and…

Mathematical Physics · Physics 2025-09-03 Peter D. Hislop , Werner Kirsch , M. Krishna

We study the dynamics of a 1D Bloch electron subjected to a constant electric field. The periodic potential is supposed to be less singular than the $\delta $-like potential (Dirac comb). We give a rigorous proof of Ao's result \cite{Ao}…

Mathematical Physics · Physics 2009-11-10 F. Bentosela , P. Duclos , G. Nenciu , V. Moldoveanu

Fracton phases of matter feature a variety of exciting phenomena stemming from the restricted mobility of their quasiparticles. Here we consider a model of interacting electrons in one dimension that describes hopping of spin-singlet pairs…

Strongly Correlated Electrons · Physics 2021-02-03 Hernan B. Xavier , Rodrigo G. Pereira

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

Strongly Correlated Electrons · Physics 2009-11-11 Vadim Oganesyan , David A. Huse

This work analyzes fractional continuous-time random walks on two-layer multiplexes. A node-centric dynamics is used, in which it is assumed a Poisson distribution of a walker to become active, while a jump to one of its neighbors depends…

Physics and Society · Physics 2020-01-29 Alfonso Allen-Perkins , Roberto F. S. Andrade

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

Statistical Mechanics · Physics 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

We find that a flat-band fermion system with interactions and without disorders exhibits non-thermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL). In the previous works, we observed flat-band many-body…

Quantum Gases · Physics 2021-02-24 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

Many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. In contrast to conventional ergodic systems, many-body localized (MBL) systems are characterized by extensively many local integrals of motion…

Disordered Systems and Neural Networks · Physics 2015-03-05 Anushya Chandran , Isaac H. Kim , Guifre Vidal , Dmitry A. Abanin

We present a family of Floquet circuits that can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good…

Statistical Mechanics · Physics 2024-04-02 Dominik Hahn , Luis Colmenarez

We study the stationary state of a Poisson problem for a system of N perfectly conducting metal balls driven by electric forces to move within a medium of very low electrical conductivity onto which charges are sprayed from outside. When…

Statistical Mechanics · Physics 2009-10-31 Marco Marani , Jayanth R. Banavar , Guido Caldarelli , Amos Maritan , Andrea Rinaldo

The thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. While integrable or many-body localized systems display non-ergodic behavior due to extensively many…

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequence of on-site energies that eliminates resonant hopping…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman , M. Shapiro , F. M. Izrailev

We consider ultracold atoms in 2D-disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the non-interacting regime. We derive the diffusion constant as function of all relevant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. C. Kuhn , C. Miniatura , D. Delande , O. Sigwarth , C. A. Mueller

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imposed by gauge invariance. We show that also genuinely…

Strongly Correlated Electrons · Physics 2021-04-07 P. Karpov , R. Verdel , Y. -P. Huang , M. Schmitt , M. Heyl