Advertisement

Abstract

Anderson localization (AL) is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. We observe three-dimensional AL of noninteracting ultracold matter by allowing a spin-polarized atomic Fermi gas to expand into a disordered potential. A two-component density distribution emerges consisting of an expanding mobile component and a nondiffusing localized component. We extract a mobility edge that increases with the disorder strength, whereas the thermally averaged localization length is shown to decrease with disorder strength and increase with particle energy. These measurements provide a benchmark for more sophisticated theories of AL.
Get full access to this article

View all available purchase options and get full access to this article.

Already a Subscriber?

Supplementary Material

File (1209019.kondov.som.pdf)

References and Notes

1
Anderson P. W., Absence of diffusion in certain random lattices. Phys. Rev. 109, 1492 (1958).
2
Wiersma D. S., Bartolini P., Lagendijk A., Righini R., Localization of light in a disordered medium. Nature 390, 671 (1997).
3
Störzer M., Gross P., Aegerter C. M., Maret G., Observation of the critical regime near Anderson localization of light. Phys. Rev. Lett. 96, 063904 (2006).
4
Hu H., Strybulevych A., Page J. H., Skipetrov S. E., van Tiggelen B. A., Localization of ultrasound in a three-dimensional elastic network. Nat. Phys. 4, 945 (2008).
5
Billy J., et al., Direct observation of Anderson localization of matter waves in a controlled disorder. Nature 453, 891 (2008).
6
Roati G., et al., Anderson localization of a non-interacting Bose-Einstein condensate. Nature 453, 895 (2008).
7
Lee P. A., Ramakrishnan T. V., Disordered electronic systems. Rev. Mod. Phys. 57, 287 (1985).
8
Abrahams E., Anderson P. W., Licciardello D. C., Ramakrishnan T. V., Scaling theory of localization: Absence of quantum diffusion in two dimensions. Phys. Rev. Lett. 42, 673 (1979).
9
DeMarco B., Jin D. S., Onset of Fermi degeneracy in a trapped atomic gas. Science 285, 1703 (1999).
10
Esslinger T., Bloch I., Hänsch T. W., Bose-Einstein condensation in a quadrupole-Ioffe-configuration trap. Phys. Rev. A 58, R2664 (1998).
11
McKay D., White M., DeMarco B., Lattice thermodynamics for ultracold atoms. Phys. Rev. A 79, 063605 (2009).
12
Materials and methods are available as supporting material on Science Online.
13
White M., et al., Strongly interacting bosons in a disordered optical lattice. Phys. Rev. Lett. 102, 055301 (2009).
14
Jendrzejewski F., et al., http://arxiv.org/abs/1108.0137 (2011).
15
DeMarco B., Bohn J. L., Burke J. P., Holland M., Jin D. S., Measurement of p-wave threshold law using evaporatively cooled fermionic atoms. Phys. Rev. Lett. 82, 4208 (1999).
16
Kuhn R. C., Sigwarth O., Miniatura C., Delande D., Müller C., Coherent matter wave transport in speckle potentials. N. J. Phys. 9, 161 (2007).
17
Lye J. E., et al., Bose-Einstein condensate in a random potential. Phys. Rev. Lett. 95, 070401 (2005).
18
Clément D., et al., Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential. Phys. Rev. Lett. 95, 170409 (2005).
19
Robert-de-Saint-Vincent M., et al., Anisotropic 2D diffusive expansion of ultracold atoms in a disordered potential. Phys. Rev. Lett. 104, 220602 (2010).
21
O’Holleran K., Dennis M. R., Flossmann F., Padgett M. J., Fractality of light’s darkness. Phys. Rev. Lett. 100, 053902 (2008).
22
Pilati S., Giorgini S., Modugno M., Prokof’ev N., Dilute Bose gas with correlated disorder: a path integral Monte Carlo study. N. J. Phys. 12, 073003 (2010).
23
Lugan P., et al., One-dimensional Anderson localization in certain correlated random potentials. Phys. Rev. A 80, 023605 (2009).
24
Yedjour A., Van Tiggelen B. A., Diffusion and localization of cold atoms in 3D optical speckle. Eur. Phys. J. D 59, 249 (2010).
25
Sanchez-Palencia L., Lewenstein M., Disordered quantum gases under control. Nat. Phys. 6, 87 (2010).
26
Papp S. B., et al., Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate. Phys. Rev. Lett. 101, 135301 (2008).
27
Orso G., BCS-BEC crossover in a random external potential. Phys. Rev. Lett. 99, 250402 (2007).
28
Dey P., Basu S., Role of disorder in inducing a BCS–BEC crossover. J. Phys. Condens. Matter 20, 485205 (2008).
29
Pasienski M., Demarco B., A high-accuracy algorithm for designing arbitrary holographic atom traps. Opt. Express 16, 2176 (2008).

Information & Authors

Information

Published In

Science
Volume 334 | Issue 6052
7 October 2011

Submission history

Received: 27 May 2011
Accepted: 15 August 2011
Published in print: 7 October 2011

Permissions

Request permissions for this article.

Acknowledgments

Acknowledgments: We thank L. Sanchez-Palencia for stimulating discussions and M. White and P. Koehring for technical assistance. We acknowledge funding from the Defense Advanced Research Projects Agency Optical Lattice Emulator program, the Office of Naval Research (award N000140911023), and the NSF (award 0855027). The data presented in this paper are available for download at www.illinois.edu/~bdemarco.

Authors

Affiliations

S. S. Kondov
Department of Physics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA.
W. R. McGehee
Department of Physics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA.
J. J. Zirbel
Department of Physics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA.
Department of Physics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA.

Notes

*To whom correspondence should be addressed. E-mail: [email protected]

Metrics & Citations

Metrics

Article Usage
Altmetrics

Citations

Export citation

Select the format you want to export the citation of this publication.

Cited by
  1. Observation of topological phase with critical localization in a quasi-periodic lattice, Science Bulletin, (2021).https://doi.org/10.1016/j.scib.2021.07.025
    Crossref
  2. Disorder-controlled relaxation in a three-dimensional Hubbard model quantum simulator, Physical Review Research, 3, 1, (2021).https://doi.org/10.1103/PhysRevResearch.3.L012009
    Crossref
  3. Level statistics and Anderson delocalization in two-dimensional granular materials, Physical Review B, 103, 10, (2021).https://doi.org/10.1103/PhysRevB.103.104201
    Crossref
  4. One- and two-particle problem with correlated disorder potential, The European Physical Journal B, 94, 1, (2021).https://doi.org/10.1140/epjb/s10051-020-00036-0
    Crossref
  5. Evading Anderson localization in a one-dimensional conductor with correlated disorder, Physical Review B, 103, 14, (2021).https://doi.org/10.1103/PhysRevB.103.144203
    Crossref
  6. Dynamical evolution in a one-dimensional incommensurate lattice with symmetry , Physical Review A, 103, 4, (2021).https://doi.org/10.1103/PhysRevA.103.043325
    Crossref
  7. Mobility edge of Stark many-body localization, Physical Review A, 103, 2, (2021).https://doi.org/10.1103/PhysRevA.103.023323
    Crossref
  8. Charge density wave and superconductivity in the disordered Holstein model, Physical Review B, 103, 6, (2021).https://doi.org/10.1103/PhysRevB.103.L060501
    Crossref
  9. Metal–insulator transitions of fermionic mixtures with mass imbalance in disordered optical lattice, Modern Physics Letters B, 35, 21, (2150357), (2021).https://doi.org/10.1142/S0217984921503577
    Crossref
  10. Coherent multiple scattering of out-of-equilibrium interacting Bose gases, Annals of Physics, (168543), (2021).https://doi.org/10.1016/j.aop.2021.168543
    Crossref
  11. See more
Loading...

View Options

Get Access

Log in to view the full text

AAAS ID LOGIN

AAAS login provides access to Science for AAAS Members, and access to other journals in the Science family to users who have purchased individual subscriptions.

Log in via OpenAthens.
Log in via Shibboleth.
More options

Register for free to read this article

As a service to the community, this article is available for free. Login or register for free to read this article.

Purchase this issue in print

Buy a single issue of Science for just $15 USD.

View options

PDF format

Download this article as a PDF file

Download PDF

Media

Figures

Multimedia

Tables

Share