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Open Quantum Systems Decoherence Quantum Simulation

Exposing local symmetries in distorted driven lattices via time-averaged invariants

arXiv
Authors: Thomas Wulf, Christian V. Morfonios, Fotis K. Diakonos, Peter Schmelcher

Year

2015

Paper ID

26100

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

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 wavefunctions are further exploited for a symmetry-based convergence check which is applicable for globally broken but locally retained potential symmetries.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.05051 [2] arXiv https://arxiv.org/abs/1511.05051 [3] Publisher https://arxiv.org/abs/1511.05051

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