Fig. 2. (Color online) (a) The entanglement entropy as a function of the coupling strength for the even parity (blue line) and odd parity (red line). The ground state is denoted by the black solid line, corresponding to the lowest energy level. (b) Some low energy spectra with even (blue) and odd (red) parity obtained by the polynomial equation. $\Delta =0.5$, $U=1.9$.
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