Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-order Time-Symmetry-Breaking Phase Transition due to meeting of
  an Exceptional Point and Fano Resonance   We have theoretically investigated the time-symmetry breaking phase
transition process for two discrete states coupled with a one-dimensional
continuum by solving the nonlinear eigenvalue prob- lem for the effective
Hamiltonian associated with the discrete spectrum. We obtain the effective
Hamiltonian with use of the Feshbach-Brillouin-Wigner projection method. Strong
energy depen- dence of the self-energy appearing in the effective Hamiltonian
plays a key role in the time-symmetry breaking phase transition: as a result of
competition in the decay process between the Van Hove singularity and the Fano
resonance, the phase transition becomes a higher-order transition when both the
two discrete states are located near the continuum threshold.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci