2020/08/31 by Ewelina Lange, Grzegorz Chimczak, Anna Kowalewska-Kudłaszyk +1
Physics and Astronomy · #Class (philosophy) #Gravitational singularity #Homogeneous space #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral line #Symmetry (geometry) #Type (biology) #quant-ph
paper · pdf · doi:10.1038/s41598-020-76787-8
published as Scientific Reports 10, 19906 (2020) · 9 pages, 3 figures. This is a preprint of an article published in Scientific Reports. The final authenticated version is available online at: https://doi.org/10.1038/s41598-020-76787-8
openalex created_date 2020/08/21 · openalex publication_date 2020/11/16 · arxiv created 2020/11/19 · arxiv updated 2020/11/23 · openalex updated_date 2026/08/05
We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time ([Formula: see text]) symmetric in special cases only. Systems exhibiting this symmetry are characterised by real-valued energy spectra and can display exceptional points, where a symmetry-breaking transition occurs. We demonstrate that there is a more general type of symmetry, i.e., rotation-time ([Formula: see text]) symmetry. We observe that [Formula: see text]-symmetric non-Hermitian Hamiltonians exhibit real-valued energy spectra which can be made singular by symmetry breaking. To calculate the spectra of the studied bosonic non-diagonalisable Hamiltonians we apply diagonalisation methods based on bosonic algebra. Finally, we list a versatile set rules allowing to immediately identifying or constructing [Formula: see text]-symmetric Hamiltonians. We believe that our results on the [Formula: see text]-symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the [Formula: see text]-symmetric systems.