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Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems

Cilt: 7 Sayı: 2 30 Kasım 2024
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Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems

Öz

Here we analytically derive the eigenspectra of non-Hermitian systems with an odd number of channels in a scheme that eliminates the requirement of all-to-all coupling of the channels. The calculated spectrum displays coexisting parity-time broken and parity-time symmetric modes for any choice of coupling and gain/loss values except for the case of N=3 where a certain range of coupling and gain/loss parameters are required for the coexistence of parity-time broken and parity-time symmetric modes.

Anahtar Kelimeler

Kaynakça

  1. [1] Bender C. M., Boettcher S., 1998. Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry. Physical Review Letters, 80(24), pp. 5243-5246
  2. [2] Mostafazadeh A., 2002. Pseudo-Hermiticity versus symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Journal of Mathematical Physics, 43(1) pp. 205-214
  3. [3] El-Ganainy R., Makris K. G., Christodoulides D. N. and Musslimani Z. H., 2007. Theory of coupled optical PT-symmetric structures. Optics Letters, 32(17), pp. 2632-2634
  4. [4] Makris K. G., El-Ganainy R. and Christodoulides D. N., 2008. Beam Dynamics in PT Symmetric Optical Lattices. Physical Review Letters, 100, 103904.
  5. [5] Rüter C. E., Makris K. G., El-Ganainy R., Christodoulides D. N., Segev M. and Kip D., 2010. Observation of parity–time symmetry in optics. Nature Physics, 6 pp. 192-195
  6. [6] Guo A., Salamo G. J., Duchesne D., Morandotti R., Volatier-Ravat M., Aimez V., Siviloglou G. A. and Christodoulides D. N., 2009. Observation of PT-Symmetry Breaking in Complex Optical Potentials. Physical Review Letters, 103 093902
  7. [7] Ge L., Chong Y. D. and Stone A. D., 2012. Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures Physical Review A, 85 023802.
  8. [8] Sounas D. L., Fleury R. and Alù A., 2015. Unidirectional cloaking based on metasurfaces with balanced loss and gain. Physical Review Applied, 4 014005.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Fotonik, Optoelektronik ve Optik İletişim

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

30 Kasım 2024

Yayımlanma Tarihi

30 Kasım 2024

Gönderilme Tarihi

9 Şubat 2024

Kabul Tarihi

28 Mayıs 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: 2

Kaynak Göster

APA
Özgün, E. (2024). Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems. Kocaeli Journal of Science and Engineering, 7(2), 179-183. https://doi.org/10.34088/kojose.1434585
AMA
1.Özgün E. Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems. KOJOSE. 2024;7(2):179-183. doi:10.34088/kojose.1434585
Chicago
Özgün, Ege. 2024. “Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems”. Kocaeli Journal of Science and Engineering 7 (2): 179-83. https://doi.org/10.34088/kojose.1434585.
EndNote
Özgün E (01 Kasım 2024) Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems. Kocaeli Journal of Science and Engineering 7 2 179–183.
IEEE
[1]E. Özgün, “Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems”, KOJOSE, c. 7, sy 2, ss. 179–183, Kas. 2024, doi: 10.34088/kojose.1434585.
ISNAD
Özgün, Ege. “Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems”. Kocaeli Journal of Science and Engineering 7/2 (01 Kasım 2024): 179-183. https://doi.org/10.34088/kojose.1434585.
JAMA
1.Özgün E. Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems. KOJOSE. 2024;7:179–183.
MLA
Özgün, Ege. “Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems”. Kocaeli Journal of Science and Engineering, c. 7, sy 2, Kasım 2024, ss. 179-83, doi:10.34088/kojose.1434585.
Vancouver
1.Ege Özgün. Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems. KOJOSE. 01 Kasım 2024;7(2):179-83. doi:10.34088/kojose.1434585