Transitionless quantum drivings for the harmonic oscillator
Journal of Physics B: Atomic, Molecular and Optical Physics, 2010•iopscience.iop.org
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.
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.
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.
iopscience.iop.org
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