Fig. 13: Gauge entanglement in a minimal plaquette.
From: Synthetic \({{\mathbb{Z}}}_{2}\) gauge theories based on parametric excitations of trapped ions
We represent the state fidelities \({{{{{{{{\mathcal{F}}}}}}}}}_{i}=| \langle {\Psi }_{i}| \Psi (t)\rangle {| }^{2}\) for the target state \(\left\vert {\Psi }_{i}\right\rangle\) that can either be \(\left\vert {{{{{{{{\rm{L}}}}}}}}}_{1}\right\rangle ,\left\vert {{{{{{{{\rm{L}}}}}}}}}_{2}\right\rangle\) in Eq. (45), or the Bell state \(\left\vert {\Psi }_{{{{{{{{\rm{Bell}}}}}}}}}^{-}\right\rangle\) in Eq. (48). The time evolved state \(\left\vert \Psi (t)\right\rangle\) is obtained by solving numerically the dynamics for \({\Delta }_{2}=10{t}_{1,{{{{{{{{\bf{e}}}}}}}}}_{1}}\), and h = Δ1 = 0. The dashed line at Δtex/2 represents half the exchange time, at which the fidelity with the Bell state (blue line) becomes maximized.
