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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Quantum Revivals of Morse Oscillators and Farey-Ford Geometry

arXiv

Authors: Alvason Zhenhua Li, William G. Harter

Year

2013

Paper ID

33134

Status

Preprint

Abstract Read

~2 min

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Abstract

Analytical eigensolutions for Morse oscillators are used to investigate quantum resonance and revivals and show how Morse anharmonicity affects revival times. A minimum semi-classical Morse revival time Tmin-rev found by Heller is related to a complete quantum revival time Trev using a quantum deviation parameter that in turn relates Trev to the maximum quantum beat period Tmax-beat. Also, number theory of Farey and Thales-circle geometry of Ford is shown to elegantly analyze and display fractional revivals. Such quantum dynamical analysis may have applications for spectroscopy or quantum information processing and computing.

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Analytical eigensolutions for Morse oscillators are used to investigate quantum resonance and revivals and show how Morse anharmonicity affects revival times.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.4470 [2] arXiv https://arxiv.org/abs/1308.4470 [3] Publisher https://arxiv.org/abs/1308.4470

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