Martínez-Garaot, SofíaTorrontegui Muñoz, ErikChen, XiModugno, MichelleGuéry-Odelin, DavidTseng, Shuo-YenMuga, Juan Gonzalo2021-03-152021-03-152013-11-22Martínez-Garaot, S., Torrontegui, E., Chen, X., Modugno, M., Guéry-Odelin, D., Tseng, S.-Y. y Muga, J. G. (2013). Vibrational Mode Multiplexing of Ultracold Atoms. Physical Review Letters, 111(21).0031-9007https://hdl.handle.net/10016/32137Sending 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.5eng© 2013 American Physical Societyresearch articleFísicahttp://dx.doi.org/10.1103/PhysRevLett.111.213001open access213001-121213001-5Physical Review Letters111AR/0000026560