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Moya-Cessa, H. M., Asenjo, F. A., Hojman, S. A., & Soto-Eguibar, F. (2022). Two-mode squeezed state generation using the Bohm potential. Mod. Phys. Lett. B, 36(09), 2250025.
Abstract: We show that two-mode squeezed vacuum-like states may be engineered in the Bohm-Madelung 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 two-mode 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 non-classical states, namely, two-mode squeezed states of a quantum mechanical system is one of the first applications of the Madelung-Bohm formalism.
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Villegas-Martinez, B. M., Soto-Eguibar, F., Moya-Cessa, H. M., Hojman, S. A., & Asenjo, F. A. (2024). Non-Hermitian dynamics from Hermitian systems: Do-it-yourself. Mod. Phys. Lett. B, Early Access.
Abstract: We show that several Hamiltonians that are PT symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. Therefore, a recipe to produce tractable non-Hermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.
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