Parametric resonance of complex scalar field under spacetime oscillations

TL;DR

This paper investigates how oscillating spacetime metrics can induce parametric resonance in a complex scalar field, leading to vortex formation, with the resonance conditions influenced by system size effects.

Contribution

It demonstrates the occurrence of parametric resonance in a scalar field caused by spacetime oscillations and links it to vortex formation, highlighting the role of finite size effects.

Findings

Spacetime oscillations induce parametric resonance in the scalar field.

Resonance leads to the formation of topological vortices.

Finite system size sets a lower frequency limit for resonance.

Abstract

In this proceeding, we study time evolution of a complex scalar field, in symmetry broken phase, in presence of oscillating spacetime metric background. We show that spacetime oscillations lead to parametric resonance of the field. This generates excitations in the field for a wide range of frequency of spacetime oscillations which ultimately lead to the formation of topological vortices. The lowest frequency cut-off to induce this phenomena is set by system size due to finite size effects.