RT Journal Article
T1 Shortcuts to adiabaticity in three-level systems using Lie transforms
A1 Martínez-Garaot, Sofía
A1 Torrontegui Muñoz, Erik
A1 Chen, Xi
A1 Muga, Juan Gonzalo
AB Sped-up protocols that drive a system quickly to the same populations that can be reached by a slow adiabatic process may involve Hamiltonian terms which are difficult to realize. We use the dynamical symmetry of the Hamiltonian to find, by means of Lie transforms, alternative Hamiltonians that achieve the same goals without the problematic terms. We apply this technique to three-level systems (two interacting bosons in a double well, and beam splitters with two and three output channels) driven by Hamiltonians that belong to the four-dimensional algebra U3S3.
PB American Physical Society
SN 1050-2947
YR 2014
FD 2014-05
LK https://hdl.handle.net/10016/32132
UL https://hdl.handle.net/10016/32132
LA eng
NO This work was supported by the National Natural Science Foundation of China (Grant No. 61176118), Grants No. 12QH1400800, No. IT472-10, No. BFI-2010-255, No. 13PJ1403000, and No. FIS2012-36673-C03-01, and the program UFI 11/55. S.M.-G. acknowledges support by a fellowship from UPV/EHU. E.T. is supported by the Basque Government postdoctoral program.
DS e-Archivo
RD 27 jul. 2024