Corrections to our results for optical nanofiber traps in Cesium

Several errors in Refs. [1, 2] are corrected related to the optical trapping potentials for a stateinsensitive, compensated nanofiber trap for the D2 transition of atomic Cesium. Section I corrects our basic formalism in Ref. [1] for calculating dipole-force potentials. Section II corrects erroneous values for a partial lifetime and a transition wavelength in Ref. [1]. Sections III and IV present corrected figures for various trapping configurations considered in Refs. [1] and [2], respectively.