Continuous-time quantum harmonic oscillator state engineering

The center of mass motion of trapped ions and neutral atoms is suitable for approximation by a time-dependent driven quantum harmonic oscillator whose frequency and driving strength may be controlled with high precision. We show the time evolution for these systems with continuous differentiable tim...

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Bibliographic Details
Published in:New journal of physics 2023-12, Vol.25 (12), p.123045
Main Authors: García Herrera, E, Torres-Leal, F, Rodríguez-Lara, B M
Format: Article
Language:English
Subjects:
Algebra
Atomic properties
Compressing
Engineering
Harmonic oscillators
ion trapping
Lie groups
Lie theory
Mathematical analysis
Neutral atoms
Parameters
Physics
quantum harmonic oscillator
quantum state engineering
Time dependence
time-dependent quantum dynamics
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Summary:The center of mass motion of trapped ions and neutral atoms is suitable for approximation by a time-dependent driven quantum harmonic oscillator whose frequency and driving strength may be controlled with high precision. We show the time evolution for these systems with continuous differentiable time-dependent parameters in terms of the three basic operations provided by its underlying symmetry, rotation, displacement, and squeezing, using a Lie algebraic approach. Our factorization of the dynamics allows for the intuitive construction of protocols for state engineering, for example, creating and removing displacement and squeezing, as well as their combinations, optimizing squeezing, or more complex protocols that work for slow and fast rates of change in the oscillator parameters.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ad149c