Comment on `The minimum-uncertainty squeezed states for atoms and photons in cavity'
Arkadiusz Jadczyk
TL;DR
This paper offers a geometric perspective on minimum-uncertainty states for harmonic oscillators, simplifying their mathematical description by reducing complex equations to two circular motions.
Contribution
It provides a new parametrization and geometric interpretation that simplifies the analysis of minimum-uncertainty states in quantum harmonic oscillators.
Findings
Reduction of complex equations to two circular motions
Simplified geometric interpretation of minimum-uncertainty states
Enhanced understanding of state parametrization
Abstract
In a recent work, Kryuchkov, Suslov and Vega-Guzman [20013 J. Phys. B: At. Mol. Opt. Phys. 46 104007] described a multi-parameter family of minimum-uncertainty states satisfying the time-dependent Schrodinger equation for the harmonic oscillator. We show how a different parametrization and a proper geometrical insight reduces a complicated set of equations to two simple circular motions.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Electrodynamics and Casimir Effect · Mechanical and Optical Resonators