期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 55, 期 22, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac6717
关键词
coherent perfect absorption; eigenvector nonorthogonality; non-Hermitian random matrices; resonances in chaotic quantum scattering
资金
- EPSRC [EP/V002473/1]
Motivated by coherent perfect absorption, this study investigates the shape of the deepest dips in the frequency-dependent single-channel reflection of waves from a cavity with spatially uniform losses. Non-orthogonality factors O(nn) of eigenmodes associated with the non-selfadjoint effective Hamiltonian play a major role in determining the shape. For cavities supporting chaotic ray dynamics, random matrix theory is used to derive the explicit distribution of non-orthogonality factors, revealing that they follow a heavy-tail distribution. Additionally, an explicit non-perturbative expression for the resonance density in single-channel chaotic systems is derived.
Motivated by the phenomenon of coherent perfect absorption, we study the shape of the deepest dips in the frequency-dependent single-channel reflection of waves from a cavity with spatially uniform losses. We show that it is largely determined by non-orthogonality factors O ( nn ) of the eigenmodes associated with the non-selfadjoint effective Hamiltonian. For cavities supporting chaotic ray dynamics we then use random matrix theory to derive, fully non-perturbatively, the explicit distribution of the non-orthogonality factors for systems with both broken and preserved time reversal symmetry. The results imply that O ( nn ) are heavy-tail distributed. As a by-product, we derive an explicit non-perturbative expression for the resonance density in a single-channel chaotic systems in a much simpler form than available in the literature.
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