Fast Driving of a Particle in Two Dimensions without Final Excitation

ENTROPY(2022)

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摘要
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.
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关键词
shortcuts to adiabaticity,trap rotations,linear invariants
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