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• W2084369968 abstract "We investigate the onset of parity-time ($mathcal{PT}$) symmetry breaking in non-Hermitian tight-binding lattices with spatially-extended loss/gain regions in presence of an advective term. Similarly to the instability properties of hydrodynamic open flows, it is shown that $mathcal{PT}$ symmetry breaking can be either absolute or convective. In the former case, an initially-localized wave packet shows a secular growth with time at any given spatial position, whereas in the latter case the growth is observed in a reference frame moving at some drift velocity while decay occurs at any fixed spatial position. In the convective unstable regime, $mathcal{PT}$ symmetry is restored when the spatial region of gain/loss in the lattice is limited (rather than extended). We consider specifically a non-Hermitian extension of the Rice-Mele tight binding lattice model, and show the existence of a transition from absolute to convective symmetry breaking when the advective term is large enough. An extension of the analysis to ac-dc-driven lattices is also presented, and an optical implementation of the non-Hermitian Rice-Mele model is suggested, which is based on light transport in an array of evanescently-coupled optical waveguides with a periodically-bent axis and alternating regions of optical gain and loss." @default.
• W2084369968 created "2016-06-24" @default.
• W2084369968 creator A5001137611 @default.
• W2084369968 date "2013-11-06" @default.
• W2084369968 modified "2023-10-05" @default.
• W2084369968 title "Convective and absolute<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>PT</mml:mi></mml:math>-symmetry breaking in tight-binding lattices" @default.
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• W2084369968 doi "https://doi.org/10.1103/physreva.88.052102" @default.
• W2084369968 hasPublicationYear "2013" @default.
• W2084369968 type Work @default.
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