Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates

Journal Article · Fri Nov 02 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.180402· OSTI ID:21024371

Lugan, P; Clement, D; Bouyer, P; Aspect, A; Sanchez-Palencia, L ^[1]

---

1. Laboratoire Charles Fabry de l'Institut d'Optique, CNRS and Univ. Paris-Sud, Campus Polytechnique, RD 128, F-91127 Palaiseau cedex (France)

We study the Anderson localization of Bogolyubov quasiparticles in an interacting Bose-Einstein condensate (with a leading length {xi}) subjected to a random potential (with a finite correlation length {sigma}{sub R}). We derive analytically the Lyapunov exponent as a function of the quasiparticle momentum k, and we study the localization maximum k{sub max}. For 1D speckle potentials, we find that k{sub max}{proportional_to}1/{xi} when {xi}>>{sigma}{sub R} while k{sub max}{proportional_to}1/{sigma}{sub R} when {xi}<<{sigma}{sub R}, and that the localization is strongest when {xi}{approx}{sigma}{sub R}. Numerical calculations support our analysis, and our estimates indicate that the localization of the Bogolyubov quasiparticles is accessible in experiments with ultracold atoms.

• OSTI ID: 21024371
• Journal Information: Physical Review Letters, Vol. 99, Issue 18; Other Information: DOI: 10.1103/PhysRevLett.99.180402; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
BOSE-EINSTEIN CONDENSATION
LYAPUNOV METHOD
POTENTIALS
QUASI PARTICLES
RANDOMNESS