217 citations · 1.7k across the 41 of their papers we have counts for
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Photonic realization of the relativistic Dirac oscillator
Stefano Longhi
A photonic realization of the Dirac oscillator (DO), i.e. of the relativistic extension of the quantum harmonic oscillator, is proposed for light propagation in fiber Bragg grating…
Optical analogue of population trapping in the continuum: classical and quantum interference effects
S. Longhi
A quantum theory of light propagation in two optical channel waveguides tunnelling-coupled to a common continuum of modes (such as those of a slab waveguide) is presented, and clas…
Discrete diffraction and shape-invariant beams in optical waveguide arrays
S. Longhi
General properties of linear propagation of discretized light in homogeneous and curved waveguide arrays are comprehensively investigated and compared to those of paraxial diffract…
Classical and quantum interference in multiband optical Bloch oscillations
S. Longhi
Classical and quantum interference of light propagating in arrays of coupled waveguides and undergoing multiband optical Bloch oscillations (BOs) with negligible Zener tunneling is…
Dynamic localization and transport in complex crystals
S. Longhi
The behavior of a Bloch particle in a complex crystal with PT symmetry subjected to a sinusoidal ac force is theoretically investigated. For unbroken PT symmetry and in the single-…
Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model
S. Longhi
Spectral singularities are predicted to occur in a non-Hermitian extension of the Friedrichs-Fano-Anderson model describing the decay of a discrete state coupled to a contin…
Spectral singularities and Bragg scattering in complex crystals
S. Longhi
Spectral singularities that spoil the completeness of Bloch-Floquet states may occur in non-Hermitian Hamiltonians with complex periodic potentials. Here an equivalence is establis…