Handedness of complex PT-symmetric potential barriers

Abstract

Generally, when imaginary part of an optical potential is non-symmetric the reflectivity, $R(E)$, shows left/right handedness, further if it is not negative-definite the reflection and transmission, $T(E)$, coefficients become anomalous in some energy intervals and absorption is indefinite ($\pm$). We find that the complex PT-symmetric potentials could be exceptional in this regard. They may act effectively like an absorptive potential for any incident energy provided the particle enters from the preferred (absorptive) side.

9 pages and 4 figures

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Cited by in corpus (32)

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• Conceptual Problems in Scattering from Localized non-Hermitian Potentials
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• New features of scattering from a one-dimensional non-Hermitian (complex) potential
• Discrete PT-symmetric models of scattering
• Scattering theory using smeared non-Hermitian potentials
• Hermitian scattering behavior for the non-Hermitian scattering center
• Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential
• Pseudo-Hermitian Interactions in Dirac Theory: Examples
• Scattering in the PT-symmetric Coulomb potential
• The Physical Interpretation of PT-invariant Potentials
• Spectral singularity and deep multiple minima in the reflectivity in non-Hermitian (complex) Ginocchio potential
• Absorption in atomic wires
• Scattering amplitudes for the rationally extended P T symmetric complex potentials
• Coherent perfect absorption with and without lasing in complex potentials
• A new solvable complex PT-symmetric potential
• Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential
• Conserved Correlation in PT -symmetric Systems: Scattering and Bound States
• Analytical solutions for the radial Scarf II potential
• Absence of Floquet scattering in oscillating non-Hermitian potential wells
• Scattering by PT-symmetric non-local potentials
• Scattering states of a particle, with position-dependent mass, in a $\mathcal{P}\mathcal{T}$ symmetric heterojunction
• Origin of branch points in the spectrum of PT-symmetric periodic potentials
• Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
• Coherent scattering from semi-infinite non-Hermitian potentials
• Three types of discrete energy eigenvalues in complex PT-symmetric scattering potentials
• Eigenvalue problems for the complex PT-symmetric potential V(x)= igx
• Spacing gain and absorption in a simple $\mathcal{P}\mathcal{T}$-symmetric model: spectral singularities and ladders of eigenvalues and resonances
• Non-local PT-symmetric potentials in the one-dimensional Dirac equation
• Scattering in a varying mass PT symmetric double heterojunction
• An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms