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

@article{Billy2008DirectOO,
  title={Direct observation of Anderson localization of matter waves in a controlled disorder},
  author={Juliette Billy and Vincent Josse and Zhan-chun Zuo and Alain Bernard and Ben Hambrecht and Pierre Lugan and David Cl{\'e}ment and Laurent Sanchez-Palencia and Philippe Bouyer and Alain Aspect},
  journal={Nature},
  year={2008},
  volume={453},
  pages={891-894}
}
In 1958, Anderson predicted the localization of electronic wavefunctions in disordered crystals and the resulting absence of diffusion. It is now recognized that Anderson localization is ubiquitous in wave physics because it originates from the interference between multiple scattering paths. Experimentally, localization has been reported for light waves, microwaves, sound waves and electron gases. However, there has been no direct observation of exponential spatial localization of matter waves… 

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

Probing the statistical properties of Anderson localization with quantum emitters

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately, the so-called Anderson-localized regime is reached when the waves become

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

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

Nonlinear Lattice Waves in Random Potentials

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition,

A Path Integral Monte Carlo Study of Anderson Localization in Cold Gases in the Presence of Disorder

We revisit the problem of Anderson localization in a trapped Bose–Einstein condensate in 1D and 3D in a disordered potential, applying Quantum Monte Carlo technique because the disorder cannot be

Coexistence of dynamical delocalization and spectral localization through stochastic dissipation

Anderson’s groundbreaking discovery that the presence of stochastic imperfections in a crystal may result in a sudden breakdown of conductivity1 revolutionized our understanding of disordered media.

Coherence of Matter and Light Waves in Localizing Media

The phenomena of coherence and localization have gained enormous research interest during the past decades. Theoretical predictions of localization have been confirmed recently in a variety of

Localization properties of the asymptotic density distribution of a one-dimensional disordered system

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized,

Anderson localization of electromagnetic waves in three dimensions

Anderson localization marks a halt of diffusive wave propagation in disordered systems. Despite extensive studies over the past 40 years, Anderson localization of light in three dimensions has
...

References

SHOWING 1-10 OF 36 REFERENCES

Transport and Anderson localization in disordered two-dimensional photonic lattices

TLDR
The experimental observation of Anderson localization in a perturbed periodic potential is reported: the transverse localization of light caused by random fluctuations on a two-dimensional photonic lattice, demonstrating how ballistic transport becomes diffusive in the presence of disorder, and that crossover to Anderson localization occurs at a higher level of disorder.

Microwave localization by two-dimensional random scattering

WAVEFUNCTIONS of electrons or photons in a strongly scattering random medium may become localized owing to the underlying wave nature of the particles1,2. Particularly surprising and counterintuitive

Observation of the critical regime near Anderson localization of light.

TLDR
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.

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

Anderson localization and nonlinearity in one-dimensional disordered photonic lattices.

TLDR
An intermediate regime is found in which the ballistic and localized components coexist while diffusive dynamics is absent and evidence is found for a faster transition into localization under nonlinear conditions.

Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices.

TLDR
Analysis of possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials shows that incommensurable superlattices should allow for the observation of the crossover from the nonlinear screening regime to the Anderson localized case within realistic experimental parameters.

Anderson localization and interactions in one-dimensional metals.

TLDR
A renormalization-group approach to study a one-dimensional interacting electron gas in a random potential that exhibits a localized-delocalized transition for increasingly attractive interactions, and suggests a phase diagram with two different localized phases.

Anderson localization of elementary excitations in a one-dimensional Bose-Einstein condensate

Abstract.We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the

Atomic Bose and Anderson glasses in optical lattices.

TLDR
An ultracold atomic Bose gas in an optical lattice is shown to provide an ideal system for the controlled analysis of disordered Bose lattice gases and it is shown that even very low-intensity disorder-inducing lasers cause large modifications of the superfluid fraction of the system.

Anderson localization of Bogolyubov quasiparticles in interacting Bose-Einstein condensates.

TLDR
Analysis of the Anderson localization of Bogolyubov quasiparticles in an interacting Bose-Einstein condensate subjected to a random potential finds that the localization is strongest when xi approximately sigma(R).