Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
arXiv:1306.1969 · doi:10.1016/j.aop.2013.08.012
Abstract
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.
9 pages, 4 figures. arXiv admin note: text overlap with arXiv:1008.5306 by other authors
References in corpus (24)
- Making Sense of Non-Hermitian Hamiltonians
- Coherent Perfect Absorbers: Time-reversed Lasers
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Repulsively bound atom pairs in an optical lattice
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
- The ODE/IM Correspondence
- Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
- PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
- Unconventional modes in lasers with spatially varying gain and loss
- The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
- Degrees and signatures of broken PT-symmetry in (non-uniform) lattices
- Perfect State Transfer in PT-symmetric Non-Hermitian Networks
- Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
- Origin of maximal symmetry breaking in even PT-symmetric lattices
- Graphene, Lattice QFT and Symmetries
- Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
- Conditional observability
- Hermitian dynamics in a class of pseudo-Hermitian networks
- Hermitian scattering behavior for the non-Hermitian scattering center
- PT-symmetry breaking and universal chirality in a PT-symmetric ring
- Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
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- Symmetry-Protected Scattering in Non-Hermitian Linear Systems
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- Transition from degeneracy to coalescence: theorem and applications
- An attractor dynamics in a non-Hermitian two-level system
- Semi-localization transition driven by a single asymmetrical tunneling
- Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
- Exceptional spectrum and dynamic magnetization
- Dissipation-induced bound states as a two-level system
- Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states