TY - JOUR
T1 - Transitionless quantum drivings for the harmonic oscillator
AU - Muga, J. G.
AU - Chen, X.
AU - Ibá̃ez, S.
AU - Lizuain, I.
AU - Ruschhaupt, A.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/77950904238
U2 - 10.1088/0953-4075/43/8/085509
DO - 10.1088/0953-4075/43/8/085509
M3 - Article
AN - SCOPUS:77950904238
SN - 0953-4075
VL - 43
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 8
M1 - 085509
ER -