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arXiv · 0912.4178

Transitionless quantum drivings for the harmonic oscillator

J. G. Muga·X. Chen·Ibáñez·I. Lizuain·A. Ruschhaupt
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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.

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J. G. Muga, X. Chen, Ibáñez, I. Lizuain, A. Ruschhaupt. 2009-12-21. Transitionless quantum drivings for the harmonic oscillator. https://doi.org/10.1088/0953-4075/43/8/085509

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