Fig. 5: Charge fluctuation anomalies related to charge localization in the Aubry-André model. | npj Quantum Information

Fig. 5: Charge fluctuation anomalies related to charge localization in the Aubry-André model.

From: Quasiperiodic circuit quantum electrodynamics

Fig. 5

For all white areas, the charge is localized with negligible charge fluctuations. The black lines represent the values for the parameter pair (λ, Ng) for which the ground state is degenerate and, thus, the quantum fluctuations of the charge are finite, ultimately leading to delocalized states. This breaking of the charge localization is shown for NgT = 0 and the energy ratios (a) ES = EC, (b) ES = 5EC, and (c) ES = 25EC, as well as for (d) NgT = 1/4 and ES = 25EC. We see that the complexity of the pattern increases for increasing ES/EC. Moreover, NgT ≠ 0 breaks the mirror symmetry along Ng but not the periodicity.

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