Non-Hermitian topological mobility edges and transport in photonic quantum walks

Abstract

In non-Hermitian quasicrystals, mobility edges (ME) separating localized and extended states in complex energy plane can arise as a result of non-Hermitian terms in the Hamiltonian. Such ME are of topological nature, i.e. the energies of localized and extended states exhibit distinct topological structures in the complex energy plane. However, depending on the origin of non-Hermiticity, i.e. asymmetry of hopping amplitudes or complexification of the incommensurate potential phase, different winding numbers are introduced, corresponding to different transport features in the bulk of the lattice: while ballistic transport is allowed in the former case, pseudo dynamical localization is observed in the latter case. The results are illustrated by considering non-Hermitian photonic quantum walks in synthetic mesh lattices.

5 pages, 4 figures, to appear in Optics Letters

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Cited by in corpus (11)

• Topological Non-Hermitian skin effect
• Entanglement phase transitions in non-Hermitian quasicrystals
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Non-Hermitian control of localization in mosaic photonic lattices
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Non-Hermitian invisibility in tight-binding lattices
• Delocalization of light in photonic lattices with unbounded potentials
• Phase transitions in non-Hermitian superlattices
• Algebraic localization-delocalization phase transition in moving potential wells on a lattice
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals