Transition from eigenmodes to geometric modes characterized by the quantum SU(2) coupled oscillator model: A review

Cheng Li Hsieh; Ching Hsuan Wang; Wei Che Chung; Hsing Chih Liang; Yung Fu Chen

doi:10.1364/OPTCON.484492

Transition from eigenmodes to geometric modes characterized by the quantum SU(2) coupled oscillator model: A review

Cheng Li Hsieh, Ching Hsuan Wang, Wei Che Chung, Hsing Chih Liang, Yung Fu Chen^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

4 Scopus citations

Abstract

The quantum and classical dynamics of the SU(2) coupled oscillator model are systematically reviewed to provide the quantum eigenstates and stationary coherent states for characterizing laser transverse modes from the analogy with the quantum-classical connection. The integral formula for the representation of the stationary coherent states derived from the evolution of the time-dependent wave packet state is completely reviewed. Several calculated results for the stationary coherent states are illustratively presented to display the spatial distributions for the quantum-classical transition and the plentiful variations of phase singularities. The overall review is believed to provide a comprehensive insight into laser transverse modes characterized by the stationary coherent states of the SU(2) coupled oscillator model.

Original language	English
Pages (from-to)	738-750
Number of pages	13
Journal	OSA Continuum
Volume	2
Issue number	4
DOIs	https://doi.org/10.1364/OPTCON.484492
State	Published - 15 Apr 2023

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title = "Transition from eigenmodes to geometric modes characterized by the quantum SU(2) coupled oscillator model: A review",

abstract = "The quantum and classical dynamics of the SU(2) coupled oscillator model are systematically reviewed to provide the quantum eigenstates and stationary coherent states for characterizing laser transverse modes from the analogy with the quantum-classical connection. The integral formula for the representation of the stationary coherent states derived from the evolution of the time-dependent wave packet state is completely reviewed. Several calculated results for the stationary coherent states are illustratively presented to display the spatial distributions for the quantum-classical transition and the plentiful variations of phase singularities. The overall review is believed to provide a comprehensive insight into laser transverse modes characterized by the stationary coherent states of the SU(2) coupled oscillator model.",

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T1 - Transition from eigenmodes to geometric modes characterized by the quantum SU(2) coupled oscillator model

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AU - Hsieh, Cheng Li

AU - Wang, Ching Hsuan

AU - Chung, Wei Che

AU - Liang, Hsing Chih

AU - Chen, Yung Fu

PY - 2023/4/15

Y1 - 2023/4/15

N2 - The quantum and classical dynamics of the SU(2) coupled oscillator model are systematically reviewed to provide the quantum eigenstates and stationary coherent states for characterizing laser transverse modes from the analogy with the quantum-classical connection. The integral formula for the representation of the stationary coherent states derived from the evolution of the time-dependent wave packet state is completely reviewed. Several calculated results for the stationary coherent states are illustratively presented to display the spatial distributions for the quantum-classical transition and the plentiful variations of phase singularities. The overall review is believed to provide a comprehensive insight into laser transverse modes characterized by the stationary coherent states of the SU(2) coupled oscillator model.

AB - The quantum and classical dynamics of the SU(2) coupled oscillator model are systematically reviewed to provide the quantum eigenstates and stationary coherent states for characterizing laser transverse modes from the analogy with the quantum-classical connection. The integral formula for the representation of the stationary coherent states derived from the evolution of the time-dependent wave packet state is completely reviewed. Several calculated results for the stationary coherent states are illustratively presented to display the spatial distributions for the quantum-classical transition and the plentiful variations of phase singularities. The overall review is believed to provide a comprehensive insight into laser transverse modes characterized by the stationary coherent states of the SU(2) coupled oscillator model.

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Transition from eigenmodes to geometric modes characterized by the quantum SU(2) coupled oscillator model: A review

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