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58 papers · 1 filter
Higher-order localization landscape theory of Anderson localization
Sergey E. Skipetrov
For a Hamiltonian containing a position-dependent (disordered) potential, we introduce a sequence of landscape functions obeying ${\hat H} u_n(\vec{r}) =…
An analysis of localization transitions using non-parametric unsupervised learning
Carlo Vanoni, Vittorio Vitale
We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as a geometric transition in the…
Anisotropy of localized states in an anisotropic disordered medium
Antton Goïcoechea, John H. Page, Sergey E. Skipetrov
We study Anderson localization of a scalar wave in an ensemble of resonant point scatterers embedded in an anisotropic background medium. For uniaxial anisotropy of moderate streng…
Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
Leonardo Benini, Piero Naldesi, Rudolf A. Römer +1
The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability…
Longitudinal modes in diffusion and localization of light
B. A. van Tiggelen, S. E. Skipetrov
In this work we include the elastic scattering of longitudinal electromagnetic waves in transport theory using a medium filled with point-like, electric dipoles. The interference b…
Suppression of transport anisotropy at the Anderson localization transition in three-dimensional anisotropic media
Antton Goïcoechea, Sergey E. Skipetrov, John H. Page
We study the transport of classical waves through three-dimensional (3D) anisotropic media close to the Anderson localization transition. Time-, frequency-, and position-resolved u…