Fundamental limitation of ultrastrong coupling between light and atoms
A. Vukics, T. Grie{\ss}er, P. Domokos

TL;DR
This paper explores the fundamental limits of ultrastrong light-atom coupling, revealing that superradiant criticality is closely linked to molecular and crystalline phase boundaries.
Contribution
It introduces a tractable polarization field model within a generalized gauge framework to analyze light-matter interaction limitations.
Findings
Superradiant criticality is near covalent molecule formation.
Electrostatic dipole-dipole interactions between atoms are canceled.
Framework helps determine fundamental limits of light-matter coupling.
Abstract
In a recent work of ours [Phys. Rev. Lett. 112, 073601 (2014)], we generalized the Power-Zineau-Woolley gauge to describe the electrodynamics of atoms in an arbitrary confined geometry. Here we complement the theory by proposing a tractable form of the polarization field to represent atomic material with well-defined intra-atomic potential. The direct electrostatic dipole-dipole interaction between the atoms is canceled. This theory yields a suitable framework to determine limitations on the light-matter coupling in quantum optical models with discernible atoms. We find that the superradiant criticality is at the border of covalent molecule formation and crystallization.
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