Robust and fragile PT-symmetric phases in a tight-binding chain

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 3, 2010, Pages

  Joglekar, Yogesh N ^a   Scott, Derek ^a   Babbey, Mark ^a   Saxena, Avadh ^b  

^a INDIANA UNIVERSITY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX EIGENVALUES; CONTINUUM LIMITS; HOPPING ENERGIES; TIGHT BINDING; TIME-REVERSAL;

BINDING ENERGY; BINDING SITES; EIGENVALUES AND EIGENFUNCTIONS; IMPURITIES; PHASE DIAGRAMS;

PLATINUM COMPOUNDS;

EID: 77957344051     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.030103     Document Type: Article

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19. We use the term "robust" PT-symmetric phase provided that limN→γPT(N)>0. This usage is different from that in Ref. [12], but is consistent with that in Ref. [14].
20. This is strictly true only when N = 4 p + 1. For N = 4 p - 1, as γ increases, the number of real eigenvalues reduces from 7 → 3 → 5 → 1.