Exceptional points in 1D arrays of quantum harmonic oscillators

2019 ◽  
Vol 127 (2) ◽  
pp. 20001 ◽  
Author(s):  
A. Cabot ◽  
G. L. Giorgi ◽  
S. Longhi ◽  
R. Zambrini
Keyword(s):  
Harmonic Oscillators ◽  
Exceptional Points

scholarly journals Supersymmetry and Exceptional Points

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 892 ◽  
Author(s):  
Miloslav Znojil
Keyword(s):  
Hilbert Space ◽  
Quantum Theory ◽  
Energy Levels ◽  
Harmonic Oscillators ◽  
Exceptional Point ◽  
Basic Principles ◽  
Exceptional Points ◽  
Super Symmetry ◽  
Physical Literature

The phenomenon of degeneracy of energy levels is often attributed either to an underlying (super)symmetry (SUSY), or to the presence of a Kato exceptional point (EP). In our paper a conceptual bridge between the two notions is proposed to be provided by the recent upgrade of the basic principles of quantum theory called, equivalently, PT − symmetric or three-Hilbert-space (3HS) or quasi-Hermitian formulation in the current physical literature. Although the original purpose of the 3HS approach laid in the mere simplification of technicalities, it is shown here to serve also as a natural theoretical link between the apparently remote concepts of EPs and SUSY. An explicit illustration of their close mutual interplay is provided by the description of infinitely many supersymmetric, mutually non-equivalent and EP-separated regularized spiked harmonic oscillators.

On the Calculation of Polynomially Perturbed Harmonic Oscillators

PIERS Online ◽  
2007 ◽  
Vol 3 (4) ◽  
pp. 485-489 ◽  
Author(s):  
P. Peidaee ◽  
Alireza Baghai-Wadji
Keyword(s):  
Harmonic Oscillators

scholarly journals Exceptional points make an astroid in non-Hermitian Lieb lattice: Evolution and topological protection

2020 ◽  
Vol 102 (24) ◽  
Author(s):  
Yi-Xin Xiao ◽  
Kun Ding ◽  
Ruo-Yang Zhang ◽  
Zhi Hong Hang ◽  
C. T. Chan
Keyword(s):  
Exceptional Points ◽  
Lieb Lattice

scholarly journals Quantum metric and wave packets at exceptional points in non-Hermitian systems

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
D. D. Solnyshkov ◽  
C. Leblanc ◽  
L. Bessonart ◽  
A. Nalitov ◽  
Jiahuan Ren ◽  
...  
Keyword(s):  
Wave Packets ◽  
Exceptional Points
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