It is shown that isospectral Hamiltonians and partner potentials can be found for self-consistent solutions of the Schrödinger and Poisson equations in the presence of identical non-interacting electrons. Perturbation of these systems by an external electric field can be used to break symmetry and spectrally distinguish between states. For a given pair of partner potentials, symmetry may also be broken by a change of electron density or temperature.

A radio frequency (RF) photonic filter is experimentally demonstrated using an optical tapped delay line (TDL) based on an optical frequency comb and a periodically poled lithium niobate (PPLN) waveguide as multiplexer. The approach is used to implement RF filters with variable bandwidth, shape, and center-frequency.

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Supersymmetric partner potentials calculated using single-particle non-reflecting scattering states are localized complex potentials with real eigenvalues. If the initial potential is a symmetric real potential then the partner potential is PT-symmetric. In particular cases, complex conduction band edge profiles are found that yield supersymmetric partner total potentials evaluated using scattering states in the context of self-consistent Schrödinger-Poisson equations.

Emergence of long-lived emitter states is predicted to occur in a mesolaser driven below self-quenching threshold. Distinct behavioral regimes of the emitters are separated by peaks in photon fluctuations (the Fano factor) in a manner analogous to but fundamentally different from the nonequilibrium phase transition analogy in conventional lasers. The parameter space in which long-lived states emerge in mesolasers containing two or more emitters is identified and shown to be controlled by the strength of coupling to external baths.