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Open Quantum Systems Decoherence

Approximating the two-mode two-photon Rabi model

arXiv
Authors: David H. Wu, Victor V. Albert

Year

2020

Paper ID

18471

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

The Rabi model describes the simplest nontrivial interaction between a few-level system and a bosonic mode, featuring in multiple seemingly unrelated systems of importance to quantum science and technology. While exact expressions for the energies of this model and its few-mode extensions have been obtained, they involve roots of transcendental functions and are thus cumbersome and unintuitive. Utilizing the symmetric generalized rotating wave approximation (S-GRWA), we develop a family of approximations to the energies of the two-mode two-photon Rabi model. The simplest elements of the family are analytically tractable, providing good approximations in regimes of interest such as ultra- and deep-strong coupling. Higher-order approximate energies can be used if more accuracy is required.

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  • The Rabi model describes the simplest nontrivial interaction between a few-level system and a bosonic mode, featuring in multiple seemingly unrelated systems of importance to...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.06994 [2] arXiv https://arxiv.org/abs/2012.06994 [3] Publisher https://arxiv.org/abs/2012.06994

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