Review on latest developments in random lasers with coherent feedback

H Cao - Journal of Physics A: Mathematical and General, 2005 - iopscience.iop.org
The random laser represents a non-conventional laser whose feedback is mediated by
random fluctuation of the dielectric constant in space. Depending on whether the feedback is …

Recipe for creating an arbitrary number of Floquet chiral edge states

L Zhou, J Gong - Physical Review B, 2018 - APS
Floquet states of periodically driven systems could exhibit rich topological properties. Many
of them are absent in their static counterparts. One such example is the chiral edge states in …

Quantum Hall effect in a one-dimensional dynamical system

JP Dahlhaus, JM Edge, J Tworzydło… - Physical Review B …, 2011 - APS
We construct a periodically time-dependent Hamiltonian with a phase transition in the
quantum Hall universality class. One spatial dimension can be eliminated by introducing a …

Scattering matrix invariants of Floquet topological insulators

IC Fulga, M Maksymenko - Physical Review B, 2016 - APS
Similar to static systems, periodically driven systems can host a variety of topologically
nontrivial phases. Unlike the case of static Hamiltonians, the topological indices of bulk …

Statistics of resonances and delay times in random media: beyond random matrix theory

T Kottos - Journal of Physics A: Mathematical and General, 2005 - iopscience.iop.org
We review recent developments in quantum scattering from mesoscopic systems. Various
spatial geometries whose closed analogues show diffusive, localized or critical behaviour …

Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations

A Ossipov, YV Fyodorov - Physical Review B—Condensed Matter and …, 2005 - APS
We reveal a general explicit relation between the statistics of delay times in one-channel
reflection from a mesoscopic sample of any spatial dimension and the statistics of the …

Resonance width distribution for high-dimensional random media

M Weiss, JA Méndez-Bermúdez, T Kottos - Physical Review B—Condensed …, 2006 - APS
We study the distribution of resonance widths P (Γ) for three-dimensional (3D) random
scattering media and analyze how it changes as a function of the randomness strength. We …

Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime

A Ossipov, T Kottos, T Geisel - Europhysics Letters, 2003 - iopscience.iop.org
We investigate the distribution of the resonance widths Script P (Γ) and Wigner delay times
Script P (τ W) for scattering from two-dimensional systems in the diffusive regime. We obtain …

Almost localized photon modes in continuous and discrete models of disordered media

VM Apalkov, ME Raikh, B Shapiro - Journal of the Optical Society of …, 2004 - opg.optica.org
In a weakly disordered sample, light waves (or electrons) propagate, on average, by
diffusion. However, with some small probability, random high-quality cavities can be formed …

Semiclassical construction of random wave functions for confined systems

JD Urbina, K Richter - Physical Review E, 2004 - APS
We develop a statistical description of chaotic wave functions in closed systems obeying
arbitrary boundary conditions by combining a semiclassical expression for the spatial two …