Transitionless quantum drivings for the harmonic oscillator
arXiv:0912.4178 · doi:10.1088/0953-4075/43/8/085509
Abstract
Two methods to change a quantum harmonic oscillator frequency without transitions in a finite time are described and compared. The first method, a transitionless-tracking algorithm, makes use of a generalized harmonic oscillator and a non-local potential. The second method, based on engineering an invariant of motion, only modifies the harmonic frequency in time, keeping the potential local at all times.
11 pages, 1 figure. Submitted for publication