A standard Hamiltonian formulation for the dynamical Casimir effect

TL;DR

This paper develops a standard Hamiltonian framework to describe photon creation in the dynamical Casimir effect, incorporating time-varying couplings and discussing experimental setups with plasma mirrors.

Contribution

It introduces a quantum Hamiltonian formulation for the dynamical Casimir effect using fixed initial mode expansions and time-dependent couplings, advancing theoretical understanding.

Findings

Provides a Hamiltonian model with time-varying couplings

Connects the theory to experimental setups with plasma mirrors

Enhances the quantum description of photon creation

Abstract

We present a quantum description of photon creation via dynamical Casimir effect based on the standard Hamiltonian formulation. The particle representation is constructed in the expansion of field operators fixed with the initial modes. The Hamiltonian is presented in terms of the creation and annihilation operators with the time-varying couplings which originate from the external properties such as an oscillating boundary or a plasma mirror of a semiconductor slab. Some consideration is also made for the experimental realization with a semiconductor plasma mirror.