RT Journal Article T1 Engineering fast and stable splitting of matter waves A1 Torrontegui Muñoz, Erik A1 Martínez-Garaot, Sofía A1 Modugno, Michelle A1 Chen, Xi A1 Muga, Juan Gonzalo AB When attempting to split a coherent noninteracting atomic cloud by bifurcating the initial trap into two well-separated wells, slow adiabatic following is unstable with respect to any slight trap asymmetry, and the matter wave "collapses" to the well with the lowest energy. A generic fast chopping splits the wave but it also excites it. Shortcuts to adiabaticity engineered to speed up the unperturbed adiabatic process through nonadiabatic transients provide, instead, quiet and robust balanced splitting. For a Bose-Einstein condensate in the mean-field limit, the interatomic interaction makes the splitting, adiabatic or via shortcuts, more stable with respect to trap asymmetry. Simple formulas are provided to distinguish different regimes. PB American Physical Society SN 1050-2947 YR 2013 FD 2013-03 LK https://hdl.handle.net/10016/32140 UL https://hdl.handle.net/10016/32140 LA eng NO We are grateful to A. Aspect, B. Julia-Díaz, J. Martorell, D. Meschede, J. Mompart, and A. Polls for discussions. We acknowledge funding by Projects No. IT472-10, No. FIS2009-12773-C02-01, and No. FIS2012-36673-C03-01 and the UPV/EHU program UFI 11/55. X.C. thanks the National Natural Science Foundation of China (Grant No. 61176118) and the Shanghai Rising-Star Program (Grant No. 12QH1400800). E.T. and S.M.-G. acknowledge support through UPV/EHU fellowships. DS e-Archivo RD 27 jul. 2024