Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system

We theoretically study the non-Hermitian systems, the non-Hermiticity of which arises from the unequal hopping amplitude (UHA) dimers. The distinguishing features of these models are that they have full real spectra if all of the eigenvectors are time-reversal (T) symmetric rather than parity-time-r...

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Bibliographic Details
Published inAnnals of physics Vol. 339; pp. 109 - 121
Main Authors Zhang, X.Z., Song, Z.
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.12.2013
Elsevier BV
Subjects
Accessibility
AMPLITUDES
Balancing
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DEFECTS
DESIGN
DIMERS
EIGENVECTORS
Invisibility
Momentum-independent reflectionless transmission
Non-Hermitian quantum mechanics
Observers
PARITY
QUANTUM MECHANICS
SCATTERING
SPECTRA
SYMMETRY
TOPOLOGY
TRANSMISSION
Momentum-independent reflectionless transmission
Invisibility
Non-Hermitian quantum mechanics
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Summary:We theoretically study the non-Hermitian systems, the non-Hermiticity of which arises from the unequal hopping amplitude (UHA) dimers. The distinguishing features of these models are that they have full real spectra if all of the eigenvectors are time-reversal (T) symmetric rather than parity-time-reversal (PT) symmetric, and that their Hermitian counterparts are shown to be an experimentally accessible system, which have the same topological structures as that of the original ones but modulated hopping amplitudes within the unbroken region. Under the reflectionless transmission condition, the scattering behavior of momentum-independent reflectionless transmission (RT) can be achieved in the concerned non-Hermitian system. This peculiar feature indicates that, for a certain class of non-Hermitian systems with a balanced combination of the RT dimers, the defects can appear fully invisible to an outside observer. •We investigate the non-Hermitian system with time reversal symmetry.•The Hermitian counterpart is experimentally accessible system.•The behavior of momentum-independent reflectionless transmission can be achieved.•A balanced combination of reflectionless transmission dimers leads to invisibility.•It paves an alternative way for the design of invisible cloaking devices.
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ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2013.08.012