Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic Dynamics and Optical Power Saturation in Parity-Time (PT)
  Symmetric Double Ring Resonator   We report emergence of saturation and chaotic spiking of optical power in a
double ring resonator with balanced loss and gain, obeying the so-called
parity-time symmetry. We have modeled the system using a discrete-time
iterative equation known as the Ikeda Map. In the linear regime, evolution of
optical power in the system shows power saturation behavior below the PT
threshold and exponential blow-up above the PT threshold. We found that in the
unbroken PT regime, optical power saturation occurs owing to the existence of
stable stationary states, which lies on the surface of 4-dimensional
hypersphere. Inclusion of Kerr nonlinearity into our model leads to the
emergence of a stable, chaotic and divergent region in the parameter basin for
period-1 cycle. A closer inspection into the system shows us that the largest
Lyapunov exponent blows up in the divergent region. It is found that the
existence of high non-negative largest Lyapunov exponent causes chaotic spiking
of optical power in the resonators.

36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci