deletions | additions       diff --git a/subsection_Coupled_Parametric_Oscillators_A__1.tex b/subsection_Coupled_Parametric_Oscillators_A__1.tex  index ee4d4d7..867869f 100644  --- a/subsection_Coupled_Parametric_Oscillators_A__1.tex  +++ b/subsection_Coupled_Parametric_Oscillators_A__1.tex 
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\[ \tan(\theta) = \frac{R}{T} \]  As the system evolves, the eigen-states only accumulate phase.  \[ \varphi = \theta N\]  Where N is the number of cycles inside the resonator.  By substituting $N = t/\tau$, where $\tau$ is the round trip time in the cavity, and taking the time derivative we get,  \[ \Omega_\pm = \pm \theta/\tau \equiv \pm \Omega\]  The system will beat with this frequency, that depends on the coupling strength. 
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