Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems:
  Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number   There is a common belief in the condensed matter community that bulk
quantities become insensitive to the boundary condition in the infinite-volume
limit. Here we reconsider this statement in terms of recent arguments of
non-Hermitian skin effects, -strong dependence of spectra on boundary
conditions for the non-Hermitian Hamiltonians-, in the traditional Green's
function formalism. We find the criterion for quantities to be
sensitive/insensitive against the boundary condition in Hermitian
correlated/disordered systems, which is characterized by the residue theorem.
We also discuss the uncertainty of the quasiparticle energy under the skin
effects in terms of nonnormal pseudospectra, which can be tested via the sharp
optical absorption from the bulk-surface coupling. Our result indicates that
"pseudo quantum number" emerges as a consequence of large nonnormality.

1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: physics
14
The categories of this paper are: math-ph