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arXiv · 2311.18180

Kinetic equations for real scalar fields coupled to a continuum of atoms

Joseph Kraisler·Joonsoo Lee
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Abstract

We consider a model of a scalar field, with dispersion relation {\omega}(k), coupled to a random medium of two level atoms. We investigate the dynamics of states with at most one quanta of excitation in the system. In a high frequency limit, the probability amplitudes are shown to satisfy kinetic equations. Under additional hypotheses on the dispersion relation, we obtain an analytically solvable expression in the diffusion limit.

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Joseph Kraisler, Joonsoo Lee. 2023-11-30. Kinetic equations for real scalar fields coupled to a continuum of atoms. https://arxiv.org/abs/2311.18180

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