Transitionless quantum drivings for the harmonic oscillator
Quantum Physics
2017-05-22 v1
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.
Cite
@article{arxiv.0912.4178,
title = {Transitionless quantum drivings for the harmonic oscillator},
author = {J. G. Muga and X. Chen and Ibáñez and I. Lizuain and A. Ruschhaupt},
journal= {arXiv preprint arXiv:0912.4178},
year = {2017}
}
Comments
11 pages, 1 figure. Submitted for publication