# Anderson localization of a non-interacting Bose–Einstein condensate

@article{Roati2008AndersonLO, title={Anderson localization of a non-interacting Bose–Einstein condensate}, author={G. Roati and Chiara D’Errico and Leonardo Fallani and Marco Fattori and Chiara Fort and Matteo Zaccanti and Giovanni Modugno and Michele Modugno and M. Inguscio}, journal={Nature}, year={2008}, volume={453}, pages={895-898} }

Anderson localization of waves in disordered media was originally predicted fifty years ago, in the context of transport of electrons in crystals. The phenomenon is much more general and has been observed in a variety of systems, including light waves. However, Anderson localization has not been observed directly for matter waves. Owing to the high degree of control over most of the system parameters (in particular the interaction strength), ultracold atoms offer opportunities for the study of…

## 1,025 Citations

### Anderson localization of a weakly interacting one dimensional Bose gas

- Physics
- 2009

We consider the phase coherent transport of a quasi-one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow we…

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

- Physics
- 2016

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…

### Anderson localization of matter waves

- Physics
- 2009

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…

### Collective localization transitions in interacting disordered and quasiperiodic Bose superfluids

- Physics
- 2014

In this thesis, we theoretically investigate the collective localization properties of weakly-Interacting Bose superfluids subjected to disordered or quasiperiodic potentials. While disorder has been…

### Correlation function of weakly interacting bosons in a disordered lattice

- Physics
- 2011

One of the most important issues in disordered systems is the interplay of the disorder and repulsive interactions. Several recent experimental advances on this topic have been made with ultracold…

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

- PhysicsPhysical Review A
- 2021

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…

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

- PhysicsScience
- 2015

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.

### Anderson localization of matter waves

- PhysicsAnnalen der Physik
- 2009

The transport of quantum particles in non ideal material media (eg the conduction of electrons in an imperfect crystal) is strongly affected by scattering from impurities of the medium. Even for a…

### Localization of weakly interacting Bose gas in quasiperiodic potential

- Physics
- 2015

We study the localization properties of weakly interacting Bose gas in a quasiperiodic potential. The Hamiltonian of the non-interacting system reduces to the well known ‘Aubry–André model’, which…

## References

SHOWING 1-10 OF 35 REFERENCES

### Transport and Anderson localization in disordered two-dimensional photonic lattices

- PhysicsNature
- 2007

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.

### Localization of light in a disordered medium

- PhysicsNature
- 1997

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…

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

- PhysicsPhysical review letters
- 2005

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 nonlinearity in one-dimensional disordered photonic lattices.

- PhysicsPhysical review letters
- 2008

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.

### Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases

- Physics
- 2008

We compute the phase diagram of the one-dimensional Bose-Hubbard model with a quasiperiodic potential by means of the density-matrix renormalization group technique. This model describes the physics…

### Atomic Bose and Anderson glasses in optical lattices.

- PhysicsPhysical review letters
- 2003

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.

### Nature of the superconductor–insulator transition in disordered superconductors

- PhysicsNature
- 2007

Numerical simulations of the superconductor–insulator transition in two-dimensional disordered superconductors demonstrate explicitly that disorder leads to the formation of islands where the superconducting order is high, and explains the recently observed huge magneto-resistance peak in disordered thin films.

### Ultracold atoms in a disordered crystal of light: towards a bose glass.

- PhysicsPhysical review letters
- 2007

A disordered system of ultracold strongly interacting 87Rb bosons is experimentally realized and a broadening of the Mott-insulator resonances and the transition to a state with vanishing long-range phase coherence and a flat density of excitations are observed, which suggest the formation of a Bose-glass phase.

### Interference pattern and visibility of a Mott insulator (6 pages)

- Physics
- 2005

We analyze theoretically the experiment reported in [F. Gerbier et al., Phys. Rev. Lett. 95, 050404 (2005)]. There, the interference pattern produced by an expanding atomic cloud in the Mott…

### Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

- Physics
- 2007

We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such…