Anderson localization in an oscillating Rydberg-dressed condensate with random disorder

摘要

We numerically study the Anderson localization in an oscillating one-dimensional Rydberg-dressed Bose-Einstein condensate with weak random disorder in which the range of the interaction, the blockade radius R_c, is variable. Without disorder, the uniform system can undergo a superfluid-supersolid transition at R_c = l_c = 1.7 ξ_0 with ξ_0 the zero-range healing length. When ξ_0 exceeds the disorder correlation length σ_D, we show that exponential localization occurs in the equilibrium condensate when R_c ≤ l_c, while Gaussian localization occurs when R_c ≤ l_c. The latter suggests that the k wave for a long-ranged interacting system could decay Gaussianly with weak random disorder.