TY - JOUR
T1 - Anderson localization in an oscillating Rydberg-dressed condensate with random disorder
AU - Ong, Russell
AU - Hsueh, Che Hsiu
AU - Wu, Wen Chin
N1 - Funding Information:
We thank Tai-Chia Lin and Igor Herbut for useful discussions. Financial support from the Ministry of Science and Technology, Taiwan (under Grant No. MOST 107-2112-M-003-008) and the National Center for Theoretical Sciences, Taiwan is acknowledged. R.O. and C.-H.H. contributed equally to this work.
Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/11/21
Y1 - 2019/11/21
N2 - 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≃1.7ζ0 with ζ0 the zero-range healing length. When ζ0 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.
AB - 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≃1.7ζ0 with ζ0 the zero-range healing length. When ζ0 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.
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U2 - 10.1103/PhysRevA.100.053619
DO - 10.1103/PhysRevA.100.053619
M3 - Article
AN - SCOPUS:85075551284
SN - 1050-2947
VL - 100
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 053619
ER -