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arXiv · 1804.00526

Metriplectic Structure of a Radiation-Matter Interaction Toy Model

Giulia Marcucci·Claudio Conti·Massimo Materassi
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Abstract

A dynamical system defined by a metriplectic structure is a dissipative model characterized by a specific pair of tensors, which defines the Leibniz brackets. Generally, these tensors are Poisson brackets tensor and a symmetric metric tensor that models purely dissipative dynamics. In this paper, the metriplectic system describing a simplified two-photon absorption by a two-level atom is disclosed. The Hamiltonian component describes the free electromagnetic radiation. The metric component encodes the radiation-matter coupling, driving the system to an asymptotically stable state in which the excited level of the atom is populated due to absorption. This work is intended as a first result to pave the way to apply the metriplectic formalism to many other irreversible processes in nonlinear optics.

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Giulia Marcucci, Claudio Conti, Massimo Materassi. 2018-03-27. Metriplectic Structure of a Radiation-Matter Interaction Toy Model. https://arxiv.org/abs/1804.00526

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