PT-Symmetric Gain-Loss Systems
Exceptional points, phase transitions, and non-Hermitian physics
Controls
Coupling κ
1.00
Gain/Loss γ
0.50
Detuning δ
0.00
Time span
20
PT condition: γ/κ =
—
Eigenvalues:
—
Phase:
—
Exceptional point at γ=κ (square-root branch point). Real spectrum for γ<κ despite non-Hermitian H.
Energy Spectrum vs γ/κ
Amplitude Evolution |ψ₁(t)|², |ψ₂(t)|²
Phase Space Trajectory