well for generic eigenstates of $H_{\textsc{bec}}$. This is illustrated in , which shows plots of these indicators as functions of $\omega_{1}$. Apart from examining the suitability of ${\varepsilon_{\small\textsc{pcc}}}$ as an entanglement indicator, we have also checked for the extent of linear correlation between any two indicators based on the corresponding PCC, as follows. We have obtained $100$ values each of $\xi_{\textsc{tei}}$ and $\xi_{\textsc{svne}}$ for different values of $\omega_{1}$ in the range $(-1, 1)$ in steps of $0.02$. Treating the two sets of values as two sets of random numbers, we obtain the PCC between them, as defined in Eq. . The PCC between $\xi_{\textsc{tei}}$ and $\xi_{\textsc{svne}}$ (respectively, $\xi_{\textsc{ipr}}$ and $\xi_{\textsc{svne}}$) estimates the extent of linear correlation between the two indicators, and is found to be $0.97$ (resp., $0.99$) in the case shown in corresponding to $\ket{\psi_{4,2}}$. (In general, the PCC ranges from $1$ for complete correlation, to $-1$ for maximal anti-correlation. Its vanishing indicates the absence of linear correlation).

![$\xi_{\textsc{svne}}$ (red solid line), $\xi_{\textsc{tei}}$ (blue dashed line) and $\xi_{\textsc{ipr}}$ (green dotted line) vs. $\omega_{1}$, for the state $\ket{\psi_{4,2}}$ in the BEC model.[]{data-label="fig:N4k2VaryOmega1"}](fig_bec_compare_2_TEI_IPR_vary_omega1_lambda_quarter_mult.eps){width="50.00000%"}

Figure \[fig:CorrPlotN4VaryOmega1\] shows the PCC between $\xi_{\textsc{svne}}$ and various indicators, for the eigenstates $\ket{\psi_{4,k}}$ where $k=0,1,2,3,4$. From (a), 