Fig. 7: Evolution of the ωr-dependence from negligible to significant. | Communications Physics

Fig. 7: Evolution of the ωr-dependence from negligible to significant.

From: Complex frequency detection in a subsystem

Fig. 7: Evolution of the ωr-dependence from negligible to significant.

The relative error in the area enclosed by the eigenvalues of HS,eff(k, ωr) as a function of ωr, using a 5% threshold (the black dashed line) to indicate the validity of non-Hermitian approximation (light blue and light pink regions represent validity and failure, respectively). Here, \({t}_{1}=1.2,{t}_{2}=-1,\lambda =-1,{\mu }_{{{{\rm{S}}}}}=0.2,{t}_{x}=1,{t}_{y}=3.5,{\mu }_{{{{{\rm{S}}}}}^{{\prime} }}=0.3,{t}_{{{{\rm{A}}}}}=0.6,\gamma =0.1\), NS = 80 and Ny = 300.

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