Abstract
Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final harmonic trap is translated and rotated with respect to the initial one. These protocols realize a one-to-one mapping between initial and final eigenstates at some predetermined time and avoid any final excitations.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Henan Province
ERDF A way of making Europe
Basque Government
Subject
General Physics and Astronomy
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