scholarly journals High-Order Exceptional Points in Diffusive Systems: Robust APT Symmetry 2 Against Perturbation and Phase Oscillation at APT Symmetry Breaking

2019 ◽  
Author(s):  
Peichao Cao ◽  
◽  
Ying Li ◽  
Yugui Peng ◽  
Chengwei Qiu ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
High Order ◽  
Phase Oscillation ◽  
Exceptional Points ◽  
Diffusive Systems

Symmetry-breaking-induced plasmonic exceptional points and nanoscale sensing

2020 ◽  
Vol 16 (4) ◽  
pp. 462-468 ◽  
Author(s):  
Jun-Hee Park ◽  
Abdoulaye Ndao ◽  
Wei Cai ◽  
Liyi Hsu ◽  
Ashok Kodigala ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Exceptional Points ◽  
Nanoscale Sensing

High-order exceptional points in non-Hermitian Moiré lattices

2019 ◽  
Vol 14 (5) ◽  
Author(s):  
Yan-Rong Zhang ◽  
Ze-Zheng Zhang ◽  
Jia-Qi Yuan ◽  
Ming Kang ◽  
Jing Chen
Keyword(s):  
High Order ◽  
Exceptional Points

scholarly journals High‐order exceptional points and enhanced sensing in subwavelength resonator arrays

2020 ◽  
Author(s):  
Habib Ammari ◽  
Bryn Davies ◽  
Erik Orvehed Hiltunen ◽  
Hyundae Lee ◽  
Sanghyeon Yu
Keyword(s):  
High Order ◽  
Exceptional Points ◽  
Resonator Arrays

scholarly journals High-order exceptional points in optomechanics

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
H. Jing ◽  
Ş. K. Özdemir ◽  
H. Lü ◽  
Franco Nori
Keyword(s):  
High Order ◽  
Exceptional Points

scholarly journals Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $${\mathscr{PT}}$$ symmetry

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ewelina Lange ◽  
Grzegorz Chimczak ◽  
Anna Kowalewska-Kudłaszyk ◽  
Karol Bartkiewicz
Keyword(s):  
Symmetry Breaking ◽  
General Type ◽  
Energy Spectra ◽  
Exceptional Points ◽  
Rotation Time ◽  
Time Symmetry ◽  
Laser Pumping ◽  
Special Cases ◽  
New Applications ◽  
Symmetric Systems

AbstractWe study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time ($${{\mathscr{PT}}}$$ PT ) 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 ($${\mathscr{RT}}$$ RT ) symmetry. We observe that $${\mathscr{RT}}$$ RT -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 $${\mathscr{RT}}$$ RT -symmetric Hamiltonians. We believe that our results on the $${\mathscr{RT}}$$ RT -symmetric class of bosonic systems and their spectral singularities can lead to new applications inspired by those of the $${{\mathscr{PT}}}$$ PT -symmetric systems.

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