Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical hybridization of skin modes in coupled non-Hermitian chains   Non-Hermitian topological systems exhibit a plethora of unusual topological
phenomena that are absent in the Hermitian systems. One of these key features
is the extreme eigenstate localization of eigenstates, also known as
non-Hermitian skin effect (NHSE), which occurs in open chains. However, many
new and peculiar non-Hermitian characteristics of the eigenstates and
eigenvlaues that emerge when two such non-Hermitian chains are coupled together
remain largely unexplored. Here, we report various new avenues of eigenstate
localization in coupled non-Hermitian chains with dissimilar inverse skin
lengths in which the NHSE can be switched on and off by the inter-chain
coupling amplitude. A very small inter-chain strength causes the NHSE to be
present at both ends of an anti-symmetric coupled system because of the weak
hybridization of the eigenstates of the individual chains. The eigenspectrum
under open boundary conditions (OBC) exhibits a discontinuous jump known as the
critical NHSE (CNHSE) as its size increases. However, when the hybridization
between eigenstates becomes significant in a system with strong inter-chain
coupling, the NHSE and CNHSE vanish. Moreover, a peculiar "half-half skin
localization" occurs in composite chains with opposite signs of inverse decay
lengths, where half of the eigenstates are exponentially localized at one chain
and the remainder of the eigenstates on the other chain. Our results provide a
new twist and insights for non-Hermitian phenomena in coupled non-Hermitian
systems.

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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat