Peak Position of Marginal Distributions

Figure Overview and Methodology

These plots display the maximum peak positions (\(\omega\)) of the marginal distributions for three different quantum states: Optimum, Entangled, and Unentangled. The data represents the real roots derived from the marginal distribution formulas.

• Calculation Method: Peak positions were computed using analytical approaches by finding roots of the derivatives of the respective distribution functions.
• Dynamically Plotted Lines: The curves represent peak positions as functions of the decay ratio (\(\Gamma_e / \Gamma_f\)). They change based on the detuning parameter \(\delta_a / \Gamma_f\).

Reference Guidelines

Horizontal reference lines show the central frequencies:

• Red dashed line: \(\omega_{fe} / \Gamma_f\)
• Blue dashed line: \(\omega_{eg} / \Gamma_f\)

Data Source

All data points are stored in local files: peak_data_Opt.json, peak_data_Ent.json, and peak_data_UnEnt.json.