Inkscape symmetry mode11/15/2022 ![]() ![]() These symmetries become apparent in the equilibrium frame. We demonstrate that non-Hermitian Hamiltonians, which can be divided into a PT-symmetric term and a term commuting with the Hamiltonian, possess hidden PT symmetries. Passive PT-symmetric Hamiltonians, in which only loss is present and gain is absent, can also display exceptional points, just like PT-symmetric systems, and therefore are extensively investigated. We discuss how introducing an equilibrium frame, in which a given Hamiltonian has balanced loss and gain terms, can reveal PT symmetry hidden in non-Hermitian Hamiltonians of dissipative systems. Compared to their $\cal PT$-symmetric counterparts, such anti-$\cal PT$-symmetric systems could be easier to scale and, thus, can serve as a promising platform for engineering quantum systems with high-order EPs.
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