VillegasMartinez, B. M., SotoEguibar, F., MoyaCessa, H. M., Hojman, S. A., & Asenjo, F. A. (2024). NonHermitian dynamics from Hermitian systems: Doityourself. Mod. Phys. Lett. B, Early Access.
Abstract: We show that several Hamiltonians that are PT symmetric may be taken to Hermitian Hamiltonians via a nonunitary transformation and vice versa. Therefore, a recipe to produce tractable nonHermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such nonunitary transformations may be associated, via a fractionalWick rotation, to complex time.

MoyaCessa, H. M., Asenjo, F. A., Hojman, S. A., & SotoEguibar, F. (2022). Twomode squeezed state generation using the Bohm potential. Mod. Phys. Lett. B, 36(09), 2250025.
Abstract: We show that twomode squeezed vacuumlike states may be engineered in the BohmMadelung formalism by adequately choosing the phase of the wave function. The difference between our wave function and the one of the squeezed vacuum states is given precisely by the phase we selected. We would like to stress that the engineering of twomode vacuum states is possible due to the existence of the Bohm potential, and it is relevant because of its potential use in the propagation of optical fields, where it may render a variety of applications in optics. The approach to generate nonclassical states, namely, twomode squeezed states of a quantum mechanical system is one of the first applications of the MadelungBohm formalism.
