The Jaynes-Cummings model breaks down when the cavity significantly reduces the emitter's free-space emission rate

• URL: http://arxiv.org/abs/2301.07674v2
• Date: Thu, 19 Jan 2023 13:18:10 GMT
• Title: The Jaynes-Cummings model breaks down when the cavity significantly reduces the emitter's free-space emission rate
• Authors: Martin Blaha, Arno Rauschenbeutel and J\"urgen Volz
• Abstract summary: We show that the Jaynes-Cummings model only applies when the cavity does not significantly change the emitter's emission rate into free-space. We present a Hamiltonian that provides, within the validity range of the rotating wave approximation, a correct theoretical description that applies to all regimes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Strong coupling between a single resonator mode and a single quantum emitter is key to a plethora of experiments and applications in quantum science and technology and is commonly described by means of the Jaynes-Cummings model. Here, we show that the Jaynes-Cummings model only applies when the cavity does not significantly change the emitter's emission rate into free-space. Most notably, the predictions made by the Jaynes-Cummings model become increasingly wrong when approaching the ideal emitter-resonator systems with no free-space decay channels. We present a Hamiltonian that provides, within the validity range of the rotating wave approximation, a correct theoretical description that applies to all regimes. As minimizing the coupling to free-space modes is paramount for many cavity-based applications, a correct description of strong light-matter interaction is therefore crucial for developing and optimizing quantum protocols.

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