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- W2786231617 abstract "Abstract Quantum walks often provide telling insights about the structure of the system on which they are performed. In $${mathscr{P}}{mathscr{T}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>P</mml:mi> <mml:mi>T</mml:mi> </mml:math> -symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization of the mean displacement of such a walker. We investigate the fragile aspects of a topological transition in these two dimer models. We find that the transition is sensitive to the initial state of the walker on the Bloch sphere, and the resultant mean displacement has a robust topological component and a quasiclassical component. In $${mathscr{P}}{mathscr{T}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>P</mml:mi> <mml:mi>T</mml:mi> </mml:math> symmetric dimer lattices, we also show that the transition is smeared by nonlinear effects that become important in the $${mathscr{P}}{mathscr{T}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>P</mml:mi> <mml:mi>T</mml:mi> </mml:math> -symmetry broken region. By carrying out consistency checks via analytical calculations, tight-binding results, and beam-propagation-method simulations, we show that our predictions are easily testable in today’s experimental systems." @default.
- W2786231617 created "2018-02-23" @default.
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- W2786231617 date "2018-08-13" @default.
- W2786231617 modified "2023-09-26" @default.
- W2786231617 title "Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks" @default.
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- W2786231617 doi "https://doi.org/10.1038/s41598-018-30344-6" @default.
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