Decays of degeneracies in PT-symmetric ring-shaped lattices

Abstract

Non-Hermitian ring-shaped discrete lattices share the appeal with their more popular linear predecessors. Their dynamics controlled by the nearest-neighbor interaction is equally phenomenologically interesting. In comparison, the innovative nontriviality of their topology may be expected to lead to new spectral effects. Some of them are studied here via solvable examples. Main attention is paid to the perturbation-caused removals of spectral degeneracy at exceptional points.

17 pp, 10 figures

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Cited by in corpus (13)

• A review of progress in the physics of open quantum systems: theory and experiment
• PT spectroscopy of the Rabi problem
• PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
• PT-symmetry breaking and universal chirality in a PT-symmetric ring
• Numerical calculation of the complex berry phase in non-Hermitian systems
• Competing PT potentials and re-entrant PT symmetric phase for a particle in a box
• PT-symmetry breaking with divergent potentials: lattice and continuum cases
• Exactly solvable $\mathcal{P}\mathcal{T}$-symmetric models in two dimensions
• N-site-lattice analogues of $V(x)=i{x}^3$
• PT symmetric lattices with a local degree of freedom
• PT-symmetry breaking and maximal chirality in a nonuniform PT-symmetric ring
• Spectra, eigenstates and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric ring
• Raising the $\mathcal{P}\mathcal{T}$ transition threshold by strong coupling to neutral chains