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

2021/08/30 by Danilo Cius, D. Cius, Fabiano M. Andrade +4
Mathematics · Physics and Astronomy · #Casimir effect #Classical mechanics #Hamiltonian (control theory) #Hermitian matrix #Mathematics #Photon #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum optics #Theoretical physics #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physa.2022.126945

12 pages, 3 figures

openalex created_date 2021/08/16 · arxiv created 2021/08/30 · openalex publication_date 2022/01/20 · arxiv updated 2022/03/02 · openalex updated_date 2026/08/05

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.

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