2017/10/05 by Yan Xing, Lu Qi, Ji Cao +9 · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Eigenvalues and eigenvectors #Geometry #Hermitian matrix #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Parity (physics) #Physics #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Symmetry (geometry) #Symmetry breaking #Topological Materials and Phenomena #quant-ph
paper · pdf · doi:10.1103/physreva.96.043810
published as Physical Review A 96, 043810 (2017)
openalex publication_date 2017/10/05 · openalex created_date 2017/10/20 · arxiv created 2018/11/14 · arxiv updated 2018/11/21 · openalex updated_date 2026/08/05
We study the effects of the position of the passive and active cavities on the spontaneous parity-time- (PT-) symmetry-breaking behavior in a non-Hermitian coupled-cavity-array model. We analyze and discuss the energy eigenvalue spectra and PT symmetry in the topologically trivial and nontrivial regimes under three different cases in detail; that is, the passive and active cavities are located at, respectively, the two end positions, the second and penultimate positions, and each position in the coupled-cavity array. The odevity of the number of cavities is further considered to check the effects of the non-Hermitian terms applied on the PT-symmetric and -asymmetric systems. We find that the position of the passive and active cavities has remarkable impacts on the spontaneous PT-symmetry-breaking behavior, and in each case the system exhibits distinguishable and novel spontaneous PT-symmetry-breaking characteristics. The effects of the non-Hermitian terms on the PT-symmetric and -asymmetric systems due to the odevity are comparatively different in the first case but qualitatively the same in the second case.