To achieve Exceptional Point (EP) in a gain/loss coupled pair resonators, both the real and imaginary parts of two eigenfrequencies should coincide. Therefore, it usually imposes difficulties in these systems since during the fabrication process, perturbations may change the resonant frequencies lifting the degeneracy. In this work we reveal that Kerr non-linearity can compensate the initial difference in resonant frequencies, therefore, the EP can occur in a coupled resonators with unequal resonant frequencies, and this unequality is correlated to the contrast between the nonlinear coefficients incorporated in the resonators.

1.
M-A.
Miri
,
A.
Alu
, “
Exceptional points in optics and photonics
”,
Science
363
,
42
(
2019
)
2.
H.
Hodaei
 et al, “
Enhanced sensitivity at higher-order exceptional points
”,
Nature
, vol.
548
,
187
(
2017
)
3.
E.-M.
Graefe
,
H. J.
Korsch
, and
A. E.
Niederle
, “
Quantum-classical correspondence for a non-Hermitian Bose-Hubbard dimer
”,
PHYSICAL REVIEW A
82
,
013629
(
2010
)
4.
H.
Ramezani
and
T.
Kottos
, “
Unidirectional nonlinear PT-symmetric optical structures
”,
PHYSICAL REVIEW A
82
,
043803
(
2010
)
5.
D. R.
Hartree
, “
The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part II. Some Results and Discussion
”,
Mathematical Proceedings of the Cambridge Philosophical Society
, vol.
28
, Issue
1
,
1928
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