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Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional system then all excitations are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander L. Burin

It is well known that in Anderson localized systems, starting from a random product state the entanglement entropy remains bounded at all times. However, we show that adding a single boundary term to an Anderson localized Hamiltonian leads…

Disordered Systems and Neural Networks · Physics 2023-03-24 Yichen Huang

We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle density imbalance following a quench from an initial charge…

Disordered Systems and Neural Networks · Physics 2022-11-02 Stefano Marcantoni , Federico Carollo , Filippo M. Gambetta , Igor Lesanovsky , Ulrich Schneider , Juan P. Garrahan

We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion. We have shown that a multiplicative noise fulfilling a fluctuation-dissipation…

Statistical Mechanics · Physics 2008-06-20 D. O. Kharchenko , S. V. Kokhan , A. V. Dvornichenko

We investigate numerically the propagation and the Anderson localization of plane waves in a one-dimensional lattice chain, where disorder and saturable nonlinearity are simultaneously present. Using a calculation scheme for solving the…

Disordered Systems and Neural Networks · Physics 2017-08-08 Ba Phi Nguyen , Kihong Kim

The emergence of glassy behavior of electrons is investigated for systems close to the disorder and/or interaction-driven metal-insulator transitions. Our results indicate that Anderson localization effects strongly stabilize such glassy…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , D. Tanaskovic , A. A. Pastor

We study the nonequilibrium dynamics of a one-dimensional topological Kondo insulator, modelled by a $p$-wave Anderson lattice model, following a quantum quench of the on-site interaction strength. Our goal is to examine how the quench…

Strongly Correlated Electrons · Physics 2019-02-27 I. Hagymási , C. Hubig , U. Schollwöck

We introduce a class of exactly solvable models which exhibit an ordering noise-induced phase transition driven by an entropic mechanism. In contrast with previous studies, order does not appear in this case as a result of an instability of…

Condensed Matter · Physics 2007-05-23 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate…

Statistical Mechanics · Physics 2009-10-30 Heiner Kohler , Andreas Mielke

The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a…

Pattern Formation and Solitons · Physics 2023-01-20 Duilio De Santis , Claudio Guarcello , Bernardo Spagnolo , Angelo Carollo , Davide Valenti

A one-dimensional system of masses with nearest-neighbor interactions and periodic boundary conditions is used to study mode decay and ergodicity in nonlinear, disordered systems. The system is given an initial periodic displacement, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. A. Snyder , T. R. Kirkpatrick

In order to stabilize the behavior of noisy systems, confining it around a desirable state, an effort is required to suppress the intrinsic noise. This noise suppression task entails a cost. For the important case of thermal noise in an…

Statistical Mechanics · Physics 2009-02-26 Giovanni Volpe , Jan Wehr , Dmitri Petrov , J. Miguel Rubi

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

Statistical Mechanics · Physics 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

We analyze the steady state entanglement generated in a coherently coupled dimer system subject to dephasing noise as a function of the degree of Markovianity of the evolution. By keeping fixed the effective noise strength while varying the…

Quantum Physics · Physics 2012-04-25 Susana F. Huelga , Ángel Rivas , Martin B. Plenio

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening…

Statistical Mechanics · Physics 2013-05-20 D. I. Russell , R. A. Blythe

Entropy notions for $\varepsilon$-incremental practical stability and incremental stability of deterministic nonlinear systems under disturbances are introduced. The entropy notions are constructed via a set of points in state space which…

Optimization and Control · Mathematics 2022-09-13 Michelle S. Chong

We examine how the properties of the Kondo insulators change when the symmetry of the underlying crystal field multiplets is taken into account. We employ the Anderson lattice model and consider its low-energy physics. We show that in a…

Strongly Correlated Electrons · Physics 2012-02-06 Maxim Dzero , Kai Sun , Piers Coleman , Victor Galitski

We report our results on non-periodic experimental time series of pressure in a single cylinder spark ignition engine. The experiments were performed for different levels of loading. We estimate the noise level in internal pressure…

We study localization and charge dynamics in a monochromatically driven one-dimensional Anderson insulator focussing on the low-frequency, strong-driving regime. We study this problem using a mapping of the Floquet Hamiltonian to a hopping…

Disordered Systems and Neural Networks · Physics 2017-07-19 Kartiek Agarwal , Sriram Ganeshan , R. N. Bhatt

We investigate the Mott-Anderson physics in interacting disordered one-dimensional chains through the average single-site entanglement quantified by the linear entropy, which is obtained via density-functional theory calculations. We show…

Strongly Correlated Electrons · Physics 2022-05-25 G. A. Canella , K. Zawadzki , V. V. França