Quantum Field Theory in Curved Spacetime Approach to the Backreaction of Dynamical Casimir Effect

TL;DR

This thesis explores the backreaction effects of the dynamical Casimir effect using quantum field theory in curved spacetime, analyzing particle creation and boundary motion in 1+1 and 3+1 dimensions.

Contribution

It applies quantum field theory in curved spacetime to study backreaction in the dynamical Casimir effect, including regularization and classical effects in higher dimensions.

Findings

Backreaction in 1+1 dimensions qualitatively confirmed.

In 3+1 dimensions, backreaction slows boundary motion, reducing particle creation.

Results are analogous to cosmological particle creation phenomena.

Abstract

In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle creation to the boundary motion is studied using quantum field theory in curved spacetime technique, in 1+1 dimension and 3+1 dimension. The relevant quantities in these quantum field processes are carefully analyzed, including regularization of the UV and IR divergent of vacuum energy, and estimation of classical backreaction effects like radiation pressure. We recovered the qualitative result of backreaction in 1+1 dimensions. In the 3+1 dimension, we find that the backreaction tends to slow down the system to suppress the further particle creation, similar to the case of cosmological particle creation.