Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hermitian fractional quantum Hall states   We demonstrate the emergence of a topological ordered phase for non-Hermitian
systems. Specifically, we elucidate that systems with non-Hermitian two-body
interactions show a fractional quantum Hall (FQH) state. The non-Hermitian
Hamiltonian is considered to be relevant to cold atoms with dissipation. We
conclude the emergence of the non-Hermitian FQH state by the presence of the
topological degeneracy and by the many-body Chern number for the ground state
multiplet showing $C_{\mathrm{tot}}=1$. The robust topological degeneracy
against non-Hermiticity arises from the many-body translational symmetry.
Furthermore, we discover that the FQH state emerges without any repulsive
interactions, which is attributed to a phenomenon reminiscent of the continuous
quantum Zeno effect.

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The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con