Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 62: Poster: Quantum Optics and Photonics III
Q 62.79: Poster
Thursday, March 26, 2015, 17:00–19:00, C/Foyer
Local symmetries and invariants in wave scattering — •Christian Morfonios1, Panayotis Kalozoumis1, Fotis Diakonos2, and Peter Schmelcher1,3 — 1Centre for Optical Quantum Technologies, Hamburg University, Germany — 2Department of Physics, Athens University, Greece — 3The Hamburg Centre for Ultrafast Imaging, Germany
Local inversion or translation symmetries in one dimension are shown to yield invariant currents that characterize wave propagation. These currents map the wave function from an arbitrary spatial domain to any symmetry-related domain, thereby generalizing the parity and Bloch theorems to the case of broken global symmetry. In particular, nonvanishing nonlocal invariants provide a systematic pathway to discrete global symmetry breaking [PRL 113, 050403]. Applied to locally mirror symmetric photonic multilayer systems, the invariants are used to classify scattering states according to the symmetry decomposition of the field profile, and perfectly transmitting resonances in aperiodic media are constructed from symmetry principles [PRA 88, 033857].