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cond-mat.quant-gas2019★ 1 cited
Computing ground states of Bose-Einstein Condensates with higher order interaction via a regularized density function formulation
Weizhu Bao, Xinran Ruan
We propose and analyze a new numerical method for computing the ground state of the modified Gross-Pitaevskii equation for modeling the Bose-Einstein condensate with a higher order…
cond-mat.quant-gas2016
Effects of the non-parabolic kinetic energy on non-equilibrium polariton condensates
Florian Pinsker, Xinran Ruan, Tristram Alexander
In the study of non-equilibrium polariton condensates it is usually assumed that the dispersion relation of polaritons is parabolic in nature. We show that considering the true non…
cond-mat.quant-gas2015★ 6 cited
Mean-field regime and Thomas-Fermi approximations of trapped Bose-Einstein condensates with higher order interactions in one and two dimensions
Xinran Ruan, Yongyong Cai, Weizhu Bao
We derive rigorously one- and two-dimensional mean-field equations for cigar- and pancake-shaped Bose-Einstein condensates (BEC) with higher order interactions (HOI). We show how t…