Description of ultrastrong light-matter interaction through coupled
harmonic oscillator models and their connection with cavity-QED Hamiltonians
- URL: http://arxiv.org/abs/2402.11944v1
- Date: Mon, 19 Feb 2024 08:32:28 GMT
- Title: Description of ultrastrong light-matter interaction through coupled
harmonic oscillator models and their connection with cavity-QED Hamiltonians
- Authors: Unai Muniain, Javier Aizpurua, Rainer Hillenbrand, Luis
Mart\'in-Moreno and Ruben Esteban
- Abstract summary: We show that the proper choice of the classical coupling term depends on the presence or absence of the diamagnetic term in the quantum models.
The comparison with quantum models further enables to make the correspondence between quantum operators and classical variables.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Classical coupled harmonic oscillator models have been proven capable to
describe successfully the spectra of many nanophotonic systems where an optical
mode couples to a molecular or matter excitation. Although models with distinct
coupling terms have been proposed, they are used interchangeably due to their
similar results in the weak and strong coupling regimes. However, in the
ultrastrong coupling regime, each oscillator model leads to very different
predictions. Further, it is important to determine which physical magnitude is
associated to each harmonic oscillator of these models in order to reproduce
appropriately experimentally measurable quantities in each system. To clarify
which classical model must be used for a given experiment, we establish a
connection with the quantum description of these systems based on cavity
quantum electrodynamics. We show that the proper choice of the classical
coupling term depends on the presence or absence of the diamagnetic term in the
quantum models and on whether the electromagnetic modes involved in the
coupling are transverse or longitudinal. The comparison with quantum models
further enables to make the correspondence between quantum operators and
classical variables in the oscillator models, in order to extract measurable
information of the hybrid modes of the system.
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