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Transitionless quantum drivings for the harmonic oscillator
classification
🪐 quant-ph
keywords
harmonicoscillatorfrequencymethodpotentialquantumtimealgorithm
read the original 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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