Transport and Anderson localization in disordered two-dimensional photonic lattices

  title={Transport and Anderson localization in disordered two-dimensional photonic lattices},
  author={Tal Schwartz and Guy Bartal and Shmuel Fishman and Mordechai Segev},
One of the most interesting phenomena in solid-state physics is Anderson localization, which predicts that an electron may become immobile when placed in a disordered lattice. The origin of localization is interference between multiple scatterings of the electron by random defects in the potential, altering the eigenmodes from being extended (Bloch waves) to exponentially localized. As a result, the material is transformed from a conductor to an insulator. Anderson’s work dates back to 1958… 

Anderson localization of a non-interacting Bose–Einstein condensate

This work uses a non-interacting Bose–Einstein condensate to study Anderson localization of waves in disordered media and describes the crossover, finding that the critical disorder strength scales with the tunnelling energy of the atoms in the lattice.

Direct observation of Anderson localization of matter waves in a controlled disorder

This work directly image the atomic density profiles as a function of time, and finds that weak disorder can stop the expansion and lead to the formation of a stationary, exponentially localized wavefunction—a direct signature of Anderson localization.

Anderson localization of matter waves

In 1958, P.W. Anderson predicted the exponential localization1 of electronic wave functions in disordered crystals and the resulting absence of diffusion. It has been realized later that Anderson

Anderson Localized Plasmon in Graphene with Random Tensile‐Strain Distribution

Here, Anderson localization of plasmon polaritons is experimentally reported in a flat graphene sheet simultaneously with homogenous charge carrier and random tensile‐strain distributions and paves a new way to study Anderson localization in other polaritonic systems such as phonon, exciton, magnon polariton, etc.

Observation of Anderson localization beyond the spectrum of the disorder

Anderson localization is a fundamental wave phenomenon predicting that transport in a 1D uncorrelated disordered system comes to a complete halt, experiencing no transport whatsoever. However, in

Anderson localization of electrons in single crystals: LixFe7Se8

Quantitative analyses of carrier concentration, carrier mobility, and simulated density of states (DOS) fully support that LixFe7Se8 is an Anderson insulator and provide a unified DOS picture to explain all the experimental results, and a schematic diagram for finding other potential Anderson insulators.

Observation of many-body localization of interacting fermions in a quasirandom optical lattice

This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.

Effects of disorder upon transport and Anderson localization in a finite, two-dimensional Bose gas

Anderson localization in a two-dimensional ultracold Bose-gas has been demonstrated experimentally. Atoms were released within a dumbbell-shaped optical trap, where the channel of variable aspect

Ray Modes in Random Gap Systems

A disordered photonic crystal with spectral degeneracies in the form of Dirac nodes is considered. Disorder can create a random gap at the Dirac nodes, which leads to the formation of random edge

Observation of Anderson localization beyond the spectrum of the disorder.

Anderson localization predicts that transport in one-dimensional uncorrelated disordered systems comes to a complete halt, experiencing no transport whatsoever. However, in reality, a disordered



Localization of light in a disordered medium

Among the unusual transport properties predicted for disordered materials is the Anderson localization phenomenon. This is a disorder-induced phase transition in the electron-transport behaviour from

Statistical signatures of photon localization

This work demonstrates photon localization in both weakly and strongly scattering quasi-one-dimensional dielectric samples and in periodic metallic wire meshes containing metallic scatterers, while ruling it out in three-dimensional mixtures of aluminium spheres.

Wave and defect dynamics in nonlinear photonic quasicrystals

It is demonstrated that light launched at different quasicrystal sites travels through the lattice in a way equivalent to quantum tunnelling of electrons in a quasiperiodic potential, and at high intensity, lattice solitons are formed.

Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices

This work uses optical induction, the interference of two or more plane waves in a photosensitive material, to create a 2D photonic lattice in which the solitons form, paving the way for the realization of a variety of nonlinear localization phenomena inPhotonic lattices and crystals.

Observation of random-phase lattice solitons

The experimental observation of random-phase lattice solitons is reported, demonstrating their self-trapping and local periodicity in real space, in addition to their multi-peaked power spectrum in momentum space.

Observation of the critical regime near Anderson localization of light.

Time resolved measurements of light transport through strongly scattering samples with kl* values as low as 2.5 constitute an experimental realization of the critical regime in the approach to Anderson localization.

Scattering properties of solitons in nonlinear disordered chains.

It is numerically found that for large enough lengths L, the soliton transmission coefficient T decays as 1/ ..sqrt..L, which has been obtained also by an analytical study of the transmission of a Gaussian wave packet in a linear disordered system.

Weak localization of waves

The weak localization of waves is formulated in terms of coherent multiple scattering theory. This leads, in the backscattering direction, to an enhancement of the differential cross-section. It

Discrete solitons in photorefractive optically induced photonic lattices.

It is demonstrated that optical discrete solitons are possible in appropriately oriented biased photorefractive crystals in optically induced periodic waveguide lattices that are created via plane-wave interference and paves the way towards the observation of entirely new families of discretesolitons.