Fig. 2: Exceptional points and entanglement dynamics for the two-mode system.
From: Exceptional-point-induced nonequilibrium entanglement dynamics in bosonic networks
The real part (a) and imaginary part (b) of four eigenvalues of M versus g/J with η/J = 0.2. The spectrum is divided into three regions by two EP2s at \({g}_{0}^{-}/J=0.8\) and \({g}_{0}^{+}/J=1.2\). c The time evolution of ν− for g/J = 0.79 (blue), g/J = 1.19 (orange) and g/J = 1.59 (red), showing three distinct types of the entanglement dynamics, i.e., exponential behavior in region I (blue), oscillatory behavior in region II (red) and mixed behavior in region III (orange). d The long time evolution of ν−, to show more difference between region II (red) and III (orange). Other parameters are the same as (c). e The values of ν− versus g/J and t/J with η/J = 0.2. The representative parameters (g/J = 0.79 and g/J = 1.19) near the EP2s in (c) are chosen to illustrate the contrasting entanglement dynamics across these regions, while g/J = 1.59 is just chosen to ensure a consistent parametric spacing.
