Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 42: Poster: Quantum Optics and Photonics III
Q 42.61: Poster
Wednesday, March 2, 2016, 16:30–19:00, Empore Lichthof
Nonlocal continuity and invariant currents in locally symmetric photonic crystals — •Christian Morfonios1, Panayotis Kalozoumis2, Fotios Diakonos2, and Peter Schmelcher1,3 — 1Centre for Optical Quantum Technologies, Hamburg University, Germany — 2Physics Department, Athens University, Greece — 3Centre for Ultrafast Imaging, Hamburg, Germany
Within a nonlocal discrete continuity formalism, we demonstrate the spatial invariance of stationary state currents in one-dimensional domains with inversion-(time-) or translation-(time-) symmetric sub-Hamiltonians. Cases of complete, overlapping, and gapped domainwise symmetry in model setups of effective Schrödinger photonic waveguide crystals are shown, including systems with balanced gain and loss. The invariants enable a mapping between the wave amplitudes of symmetry-related sites, generalizing the Bloch and parity theorems to local translation and inversion symmetry. In scattering systems, simultaneously vanishing inversion-symmetry invariants signify completely transmitting states with correspondingly symmetric density. In periodically driven setups, the invariants are retained for period-averaged quasi-energy eigenstates. Encoding local potential and coupling symmetries into arbitrary stationary states, the theory of symmetry-induced continuity and local invariants may contribute to the understanding of wave structure and response in systems with localized spatial regularities.