Complex energy plane and topological invariant in non-Hermitian systems

2021 ◽  
Vol 17 (3) ◽  
Author(s):  
Annan Fan ◽  
Shi-Dong Liang
Keyword(s):  
Topological Invariant ◽  
Complex Energy Plane ◽  
Complex Energy ◽  
Energy Plane

One- and two-quasiparticle states in the complex energy plane

2007 ◽  
Vol 789 (1-4) ◽  
pp. 182-200 ◽  
Author(s):  
G.G. Dussel ◽  
R. Id Betan ◽  
R.J. Liotta ◽  
T. Vertse
Keyword(s):  
Complex Energy Plane ◽  
Complex Energy ◽  
Energy Plane

scholarly journals ρ resonance from the I = 1 ππ potential in lattice QCD

2018 ◽  
Vol 175 ◽  
pp. 05007 ◽  
Author(s):  
Daisuke Kawai
Keyword(s):  
Phase Shift ◽  
Lattice Qcd ◽  
Complex Energy Plane ◽  
Complex Energy ◽  
S Matrix ◽  
Resonant Behavior ◽  
Scattering Phase ◽  
The Difference ◽  
Energy Plane

We calculate the phase shift for the I = 1 ππ scattering in 2+1 flavor lattice QCD at mπ = 410 MeV, using all-to-all propagators with the LapH smearing. We first investigate the sink operator independence of the I = 2 ππ scattering phase shift to estimate the systematics in the LapH smearing scheme in the HAL QCD method at mπ = 870 MeV. The difference in the scattering phase shift in this channel between the conventional point sink scheme and the smeared sink scheme is reasonably small as long as the next-toleading analysis is employed in the smeared sink scheme with larger smearing levels. We then extract the I = 1 ππ potential with the smeared sink operator, whose scattering phase shift shows a resonant behavior (ρ resonance). We also examine the pole of the S-matrix corresponding to the ρ resonance in the complex energy plane.

Description of the continuum part of the spectrum by using the complex energy plane

2005 ◽  
Vol 31 (8) ◽  
pp. S1329-S1336
Author(s):  
R Id Betan ◽  
R J Liotta ◽  
N Sandulescu ◽  
T Vertse
Keyword(s):  
Complex Energy Plane ◽  
Complex Energy ◽  
Energy Plane ◽  
The Continuum

scholarly journals Multistep shell model in the complex energy plane

2012 ◽  
Vol 338 ◽  
pp. 012029 ◽  
Author(s):  
Z X Xu ◽  
C Qi ◽  
R J Liotta ◽  
R Wyss
Keyword(s):  
Shell Model ◽  
Complex Energy Plane ◽  
Complex Energy ◽  
Energy Plane

scholarly journals Shell model in the complex energy plane and two-particle resonances

2003 ◽  
Vol 67 (1) ◽  
Author(s):  
R. Id Betan ◽  
R. J. Liotta ◽  
N. Sandulescu ◽  
T. Vertse
Keyword(s):  
Shell Model ◽  
Complex Energy Plane ◽  
Complex Energy ◽  
Energy Plane
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