$\mathcal{P}\mathcal{T}$-like phase transitions from square roots of supersymmetric Hamiltonians

Jacob L. Barnett, Ramy El-Ganainy

We introduce a general framework for realizing $\mathcal{P}\mathcal{T}$-like phase transitions in non-Hermitian systems without imposing explicit parity--time ($\mathcal{P}\mathcal{T}$) symmetry. The…