RT Journal Article T1 Vibrational Mode Multiplexing of Ultracold Atoms A1 Martínez-Garaot, Sofía A1 Torrontegui Muñoz, Erik A1 Chen, Xi A1 Modugno, Michelle A1 Guéry-Odelin, David A1 Tseng, Shuo-Yen A1 Muga, Juan Gonzalo AB Sending multiple messages on qubits encoded in different vibrational modes of cold atoms or ions along a transmission waveguide requires us to merge first and then separate the modes at input and output ends. Similarly, different qubits can be stored in the modes of a trap and be separated later. We design the fast splitting of a harmonic trap into an asymmetric double well so that the initial ground vibrational state becomes the ground state of one of two final wells, and the initial first excited state becomes the ground state of the other well. This might be done adiabatically by slowly deforming the trap. We speed up the process by inverse engineering a double-function trap using dynamical invariants. The separation (demultiplexing) followed by an inversion of the asymmetric bias and then by the reverse process (multiplexing) provides a population inversion protocol based solely on trap reshaping. PB American Physical Society SN 0031-9007 YR 2013 FD 2013-11-22 LK https://hdl.handle.net/10016/32137 UL https://hdl.handle.net/10016/32137 LA eng NO This work was supported by the National Natural Science Foundation of China (Grant No. 61176118), Grants No. 12QH1400800 IT472-10, No. BFI-2010-255, No. 13PJ1403000, No. FIS2012-36673-C03-01, and the program UFI 11/55. S. M.-G. acknowledges support from a fellowship from UPV/EHU. DS e-Archivo RD 1 sept. 2024