Exposing local symmetries in distorted driven lattices via time-averaged invariants
Time-averaged two-point currents are derived and shown to be spatially invariant within domains of local translation or inversion symmetry for arbitrary time-periodic quantum systems in one dimension. These currents are shown to provide a valuable tool for detecting deformations of a spatial symmetr...
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Veröffentlicht in: | Physical review. E 2016-05, Vol.93 (5), p.052215-052215, Article 052215 |
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container_title | Physical review. E |
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creator | Wulf, T Morfonios, C V Diakonos, F K Schmelcher, P |
description | Time-averaged two-point currents are derived and shown to be spatially invariant within domains of local translation or inversion symmetry for arbitrary time-periodic quantum systems in one dimension. These currents are shown to provide a valuable tool for detecting deformations of a spatial symmetry in static and driven lattices. In the static case the invariance of the two-point currents is related to the presence of time-reversal invariance and/or probability current conservation. The obtained insights into the wave functions are further exploited for a symmetry-based convergence check which is applicable for globally broken but locally retained potential symmetries. |
doi_str_mv | 10.1103/PhysRevE.93.052215 |
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title | Exposing local symmetries in distorted driven lattices via time-averaged invariants |
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