Related papers: Defining the semiclassical limit of the quantum Rabi Hamiltonian

Defining the semiclassical limit of the quantum Rabi Hamiltonian

URL: http://arxiv.org/abs/2203.17147v3
Date: Tue, 26 Mar 2024 17:19:52 GMT
Title: Defining the semiclassical limit of the quantum Rabi Hamiltonian
Authors: E. K. Twyeffort Irish, A. D. Armour,
Abstract summary: A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. It provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis $\lvert \alpha, n \rangle$, the semiclassical limit is obtained by taking $\lvert \alpha \rvert \to \infty$ and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.

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