Invisibility in non-Hermitian tight-binding lattices

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.032111· OSTI ID:21448631

Longhi, Stefano ^[1]

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1. Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano (Italy)

Reflectionless defects in Hermitian tight-binding lattices, synthesized by the intertwining operator technique of supersymmetric quantum mechanics, are generally not invisible and time-of-flight measurements could reveal the existence of the defects. Here it is shown that, in a certain class of non-Hermitian tight-binding lattices with complex hopping amplitudes, defects in the lattice can appear fully invisible to an outside observer. The synthesized non-Hermitian lattices with invisible defects possess a real-valued energy spectrum; however, they lack parity-time (PT) symmetry, which does not play any role in the present work.

• OSTI ID: 21448631
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.032111; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
C INVARIANCE
ENERGY SPECTRA
P INVARIANCE
PARITY
QUANTUM MECHANICS
QUANTUM OPERATORS
SUPERSYMMETRY
T INVARIANCE
TIME-OF-FLIGHT METHOD
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
SPECTRA
SYMMETRY