6 problems

Bender–Boettcher conjecture. There might exist certain manifestly non-Hermitian realizations of quantum systems that still admit the conventional probabilistic interpretation and p…

Let $n$ be the lattice size, and consider each contour of exceptional points as an algebraic curve in the $(\Delta,\gamma)$-plane, with $\Delta,\gamma\in\mathbb{R}$ and the upper h…

The discussion concerns a non-Hermitian Hamiltonian with real spectrum that governs unitary evolution after the Hilbert space of states is appropriately amended. Bender–Boettcher c…

In a non-Hermitian but hermitizable quantum system, let $H$ be a Hamiltonian equipped with a metric operator $\Theta$ defining the inner product…

The Lieb–Liniger model is considered with a complexified coupling parameter $g$. Encircling an exceptional point can permute eigenenergies and eigenspaces, producing anholonomy in…

Let $P_J(E,\lambda)$ be the Bender–Dunne polynomial associated with the quasi-exactly solvable sector indexed by $J$, and consider its zeros as functions of $\lambda$ after squarin…