Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biorthogonal quantum criticality in non-Hermitian many-body systems   We develop the perturbation theory of the fidelity susceptibility in
biorthogonal bases for arbitrary interacting non-Hermitian many-body systems
with real eigenvalues. The quantum criticality in the non-Hermitian transverse
field Ising chain is investigated by the second derivative of ground-state
energy and the ground-state fidelity susceptibility. We show that the system
undergoes a second-order phase transition with the Ising universal class by
numerically computing the critical points and the critical exponents from the
finite-size scaling theory. Interestingly, our results indicate that the
biorthogonal quantum phase transitions are described by the biorthogonal
fidelity susceptibility instead of the conventional fidelity susceptibility.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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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: acc-phys