Mellado, P. (2022). Topological edge states in dipolar zigzag stripes. J. Phys. Materials, 5(3), 034007.
Abstract: We study the magnon spectrum of stacked zigzag chains of point magnetic dipoles with an easy axis. The anisotropy due to the dipolar interactions and the twopoint basis of the zigzag chain unit cell combine to give rise to topologically nontrivial magnon bands in 2D zigzag lattices. Adjusting the distance between the two sublattice sites in the unit cell causes a band touching, which triggers the exchange of the Chern numbers of volume bands switching the sign of the thermal conductivity and the sense of motion of edges modes in zigzag stripes. We show that these topological features survive when the range of the dipolar interactions is truncated up to the second nearest neighbors.

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.

SotoEguibar, F., Asenjo, F. A., Hojman, S. A., & MoyaCessa, H. M. (2021). Bohm potential for the time dependent harmonic oscillator. J. Math. Phys., 62(12), 122103.
Abstract: In the MadelungBohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equation.
