Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths

• URL: http://arxiv.org/abs/2010.03583v3
• Date: Thu, 18 Mar 2021 00:44:24 GMT
• Title: Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Authors: Yuto Ashida, Atac Imamoglu, Eugene Demler
• Abstract summary: Quantum light-matter systems at strong coupling are notoriously challenging to analyze. We propose a nonperturbative approach to analyze light-matter correlations at all interaction strengths.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations at all interaction strengths. The key element of our approach is a unitary transformation that achieves asymptotic decoupling of light and matter degrees of freedom in the limit where light-matter interaction becomes the dominant energy scale. In the transformed frame, truncation of the matter/photon Hilbert space is increasingly well-justified at larger coupling, enabling one to systematically derive low-energy effective models, such as tight-binding Hamiltonians. We demonstrate the versatility of our approach by applying it to concrete models relevant to electrons in crystal potential and electric dipoles interacting with a cavity mode. A generalization to the case of spatially varying electromagnetic modes is also discussed.

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