Enhancement of photon creation through the pseudo-Hermitian dynamical Casimir effect

TL;DR

This paper explores a non-Hermitian approach to the dynamical Casimir effect, demonstrating that photon creation can be significantly enhanced through engineered pseudo-Hermitian Hamiltonians, with implications for quantum state manipulation.

Contribution

It introduces a non-Hermitian version of the effective Hamiltonian for the dynamical Casimir effect, showing potential for increased photon production and quantum state squeezing.

Findings

Photon creation can be substantially increased using pseudo-Hermitian Hamiltonians.

Engineered non-Hermitian Hamiltonians can amplify Hermitian quantum processes.

Results support the use of pseudo-Hermitian quantum mechanics for quantum state enhancement.

Abstract

We analyse here the pseudo-Hermitian Dynamical Casimir effect, proposing a non-Hermitian version of the effective Law's Hamiltonian used to describe the phenomenon. We verify that the average number of created photons can be substantially increased, a result which calls the attention to the possibility of engineering the time-dependent non-Hermitian Hamiltonian we have assumed. Given the well-known difficulty in detecting the Casimir photon production, the present result reinforces the importance of pseudo-Hermitian quantum mechanics as a new chapter of quantum theory and an important tool for the amplification of Hermitian processes such as the degree of squeezing of quantum states.