安德森局域化暨量子紊流在長程序超冷波色氣體的研究 III

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 Rc, is variable. Without disorder, the uniform system can undergo a superfluid-supersolid transition at Rc = lc _x0002_=1.7ξ0 with ξ0 the zero-range healing length. When ξ0 exceeds the disorder correlation length σD, we show that exponential localization occurs in the equilibrium condensate when Rc < lc, while Gaussian localization occurs when Rc > lc. The latter suggests that the k wave for a long-ranged interacting system could decay Gaussianly with weak random disorder.