Multimode equilibrium approximations in light-matter systems from weak to strong coupling
- URL: http://arxiv.org/abs/2512.05196v1
- Date: Thu, 04 Dec 2025 19:03:52 GMT
- Title: Multimode equilibrium approximations in light-matter systems from weak to strong coupling
- Authors: Davis M. Welakuh, Vasil Rokaj, Michael Ruggenthaler, Angel Rubio,
- Abstract summary: We show that for equilibrium properties of coupled light-matter systems, we can approximately capture the effects of multi-mode photonic environments.<n>We present a comprehensive set of approximation methods designed to accurately capture equilibrium phenomena in quantum light-matter systems.
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- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work, we detail different approaches to treat multi-mode photonic environments within non-relativistic quantum electrodynamics in the long-wavelength approximation efficiently. Specifically we show that for equilibrium properties of coupled light-matter systems, we can approximately capture the effects of multi-mode photonic environments on matter systems by either only keeping the polarization part of the electric field in the length-gauge formulation or by a few effective modes. We present a comprehensive set of approximation methods designed to accurately capture equilibrium phenomena in quantum light-matter systems across a range of complex photonic environments, from weak to strong coupling. These methods are applied to atomic and molecular models as well as to a two-dimensional quantum ring, demonstrating the versatility of our approach and laying the groundwork for first-principles simulations of real materials in cavity quantum electrodynamics.
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