Dissertação de Mestrado #620 – Ivan Romualdo de Oliveira – 01/03/2019

Entanglement entropy production in the dynamical Casimir effect

Autor: Ivan Romualdo de Oliveira

Banca Examinadora

Prof. Nelson de Oliveira Yokomizo (Orientador)

DF/UFMG

Prof. Mario Sergio de Carvalho Mazzoni

DF/UFMG

Prof. Silas Luiz de Carvalho

DM/UFMG

Orientação

Prof. Nelson de Oliveira Yokomizo (Orientador)

DF/UFMG

Resumo do Trabalho

In this work, we investigate the production of entanglement entropy in the dynamical Casimir effect at parametric resonance. Symplectic techniques for the description of the time evolution of Gaussian states in bosonic systems allow us to relate the asymptotic production of entanglement entropy to the classical Lyapunov exponents. We consider the case where one boundary is static, and the other is oscillating sinusoidally. We find trough numerical computations that in 1+1 dimensions the Lyapunov exponents are zero and the entropy production is sublinear. In the 2+1 dimensions case, the Lyapunov exponents are nonzero, leading to a linear production of entropy.