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arXiv · 1712.07589

Application of an inverse Holstein-Primakoff transformation to the Jaynes-Cummings model

Carla Maria Pontes Carneiro·Giancarlo Queiroz Pellegrino
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Abstract

A modification of the Holstein-Primakoff transformation is proposed such that creation and annihilation operators for a bosonic field are rewritten as operators of a $SU(2)$ algebra. Once it is applied to a quantum Hamiltonian, a subsequent application of the prescription by Lieb to obtain the classical limit for spin operators allows one to write efficiently a classical Hamiltonian for the system. This process is illustrated for the $M$-atom Jaynes-Cummings model.

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Carla Maria Pontes Carneiro, Giancarlo Queiroz Pellegrino. 2017-12-20. Application of an inverse Holstein-Primakoff transformation to the Jaynes-Cummings model. https://arxiv.org/abs/1712.07589

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