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We investigate bipartite particle number fluctuations near the rank-$2$exceptional points (EPs) of $\mathcal{PT}$-symmetric Su-Schrieffer-Heegermodels. Beyond a conformal field theory of massless fermions, fluctuations orequivalently compressibility is negative definite and exhibits superinflationin leading order at EPs, due to the defectiveness in the biorthogonal Hilbertspace. Associated with the bipartite von Neumann entanglement entropy, aparameter in an anomalous correspondence referencing from a purelynon-Hermitian limit helps characterize two inequivalent EP sets. Our work pavesthe way for understanding the singularity of fluctuations relevant to EPs, morepromisingly detectable in experiments.

Negative superinflating bipartite fluctuations near exceptional points in $\mathcal{PT}$-symmetric models