Variational formulation of classical and quantum models for intense laser pulse propagation

Simon A. Berman (1, 2) , Cristel Chandre (2) , Jonathan Dubois (2) , François Mauger (3) , Maxime Perin (1) , Turgay Uzer (1)

1 Georgia Institute of Technology [Atlanta]
2 I2M - Institut de Mathématiques de Marseille
3 LSU - Louisiana State University

We consider the theoretical description of intense laser pulses propagating through gases. Starting from a first-principles description of both the electromagnetic field and the electron motion within the gas atoms, we derive a hierarchy of reduced models. We obtain a parallel set of models, where the atomic electrons are treated classically on the one hand, and quantum-mechanically on the other. By working consistently in either a Lagrangian formulation or a Hamiltonian formulation, we ensure that our reduced models preserve the variational structure of the parent models. Taking advantage of the Hamiltonian formulation, we deduce a number of conserved quantities of the reduced models.

Domaines: Dynamique Chaotique [nlin.CD]; Physique Atomique [physics.atom-ph]; Physique des plasmas [physics.plasm-ph]

Simon A. Berman, Cristel Chandre, Jonathan Dubois, François Mauger, Maxime Perin, et al.. Variational formulation of classical and quantum models for intense laser pulse propagation. Annals of Physics, 2018, 399, pp.66. ⟨10.1016/j.aop.2018.10.002⟩. ⟨hal-01828139⟩