Anderson Localization in a Bose-Einstein condensate with finite range of interaction

Russell Ong^1*, Che-Hsiu Hsueh¹, Wen-Chin Wu¹

¹Department of Physics, National Taiwan Normal University, Taipei, Taiwan

* Presenter:Russell Ong, email:rsslong@gmail.com

The emergence of Anderson localization (AL) has been well studied in short-range interacting Bose-Einstein condensate (BEC). We study the expansion of an initially confined long-range 1D Rydberg-dressed BEC in a weak random potential. The localization phenomenon is studied at the regime where the initial healing length of the condensate (ξ_in) exceeds the correlation length (σ_D) of the disorder. The form of the localized density profile is dependence of the blockade radius (R_C). In the short-range regime of ξ_in > R_C: exponential localization is obtained when ξ_in > R_C > σ_D and it changes to algebraic localization when ξ_in > σ_D > R_C. For the opposite long-range regime, ξ_in < R_C, it yields Gaussian localization. The results have been verified numerically by simulating the oscillation 1D Rydberg-dressed BEC in the random potential.

Keywords: Rydberg-dressed BEC, Blockade radius, localization