Anomalously Localized States in the Anderson Model

Spatial structure of anomalously localized states in disordered conductors

The spatial structure of wave functions of anomalously localized states (ALS) in disordered conductors is studied in the framework of the σ–model approach. These states are responsible for slowly decaying tails of various distribution functions. In the quasi-one-dimensional case, properties of ALS governing the asymptotic form of the distribution of eigenfunction amplitudes are investigated wit...

Localized Entanglement in One-dimensional Anderson Model

Entanglement is a kind of nonlocal correlation that only exists in quantum systems. Recent studies on entanglement have been motivated by its potential applications in quantum computation, quantum teleportation and quantum communication. As the spin system is perfect to realize the quantum computer, many efforts focus on the entanglement in the Heisenberg spin model, Ising model in a transverse...

Bistability of anderson localized States in nonlinear random media.

We study wave transmission through one-dimensional random nonlinear structures and predict a novel effect resulting from an interplay of nonlinearity and disorder. We reveal that, while weak nonlinearity does not change the typical exponentially small transmission in the regime of the Anderson localization, it affects dramatically the disorder-induced localized states excited inside the medium ...

Random nanolasing in the Anderson localized regime.

The development of nanoscale optical devices for classical and quantum photonics is affected by unavoidable fabrication imperfections that often impose performance limitations. However, disorder may also enable new functionalities, for example in random lasers, where lasing relies on random multiple scattering. The applicability of random lasers has been limited due to multidirectional emission...

Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime