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Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities

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Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities. / Fyodorov, Yan V.; Osman, Mohammed.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 22, 224013, 07.06.2022.

Research output: Contribution to journalArticlepeer-review

Harvard

Fyodorov, YV & Osman, M 2022, 'Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities', Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 22, 224013. https://doi.org/10.1088/1751-8121/ac6717

APA

Fyodorov, Y. V., & Osman, M. (2022). Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities. Journal of Physics A: Mathematical and Theoretical, 55(22), [224013]. https://doi.org/10.1088/1751-8121/ac6717

Vancouver

Fyodorov YV, Osman M. Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities. Journal of Physics A: Mathematical and Theoretical. 2022 Jun 7;55(22). 224013. https://doi.org/10.1088/1751-8121/ac6717

Author

Fyodorov, Yan V. ; Osman, Mohammed. / Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities. In: Journal of Physics A: Mathematical and Theoretical. 2022 ; Vol. 55, No. 22.

Bibtex Download

@article{f8256693349146d1ae667e8708d89a68,
title = "Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities",
abstract = "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. ",
keywords = "coherent perfect absorption, eigenvector nonorthogonality, non-Hermitian random matrices, resonances in chaotic quantum scattering",
author = "Fyodorov, {Yan V.} and Mohammed Osman",
note = "Funding Information: This article is dedicated to the memory of Fritz Haake, whose influential paper [] was arguably the first addressing the statistics of S-matrix poles non-perturbatively within random matrix theory. YVF acknowledges financial support from EPSRC Grant EP/V002473/1 {\textquoteleft}Random Hessians and Jacobians: theory and applications{\textquoteright}. Publisher Copyright: {\textcopyright} 2022 The Author(s). Published by IOP Publishing Ltd.",
year = "2022",
month = jun,
day = "7",
doi = "10.1088/1751-8121/ac6717",
language = "English",
volume = "55",
journal = "Journal of Physics A",
issn = "1751-8113",
publisher = "IOP Publishing",
number = "22",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities

AU - Fyodorov, Yan V.

AU - Osman, Mohammed

N1 - Funding Information: This article is dedicated to the memory of Fritz Haake, whose influential paper [] was arguably the first addressing the statistics of S-matrix poles non-perturbatively within random matrix theory. YVF acknowledges financial support from EPSRC Grant EP/V002473/1 ‘Random Hessians and Jacobians: theory and applications’. Publisher Copyright: © 2022 The Author(s). Published by IOP Publishing Ltd.

PY - 2022/6/7

Y1 - 2022/6/7

N2 - 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.

AB - 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.

KW - coherent perfect absorption

KW - eigenvector nonorthogonality

KW - non-Hermitian random matrices

KW - resonances in chaotic quantum scattering

UR - http://www.scopus.com/inward/record.url?scp=85130713928&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/ac6717

DO - 10.1088/1751-8121/ac6717

M3 - Article

AN - SCOPUS:85130713928

VL - 55

JO - Journal of Physics A

JF - Journal of Physics A

SN - 1751-8113

IS - 22

M1 - 224013

ER -

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