Transitionless quantum drivings for the harmonic oscillator

Details Transitionless quantum drivings for the harmonic oscillator Transitionless quantum drivings for the harmonic oscillator

2009-12-21

arxiv.org/abs/0912.4178v1

Physics

Quantum Physics

11 pages, 1 figure. Submitted for publication

Scientific paper

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.

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