Two-mode squeezed state generation using the Bohm potential

Héctor M. Moya-Cessa, Felipe A. Asenjo, Sergio A. Hojman, Francisco Soto-Eguibar

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number2250025
JournalModern Physics Letters B
Issue number9
StatePublished - 30 Mar 2022
Externally publishedYes


  • Bohm potential
  • Time-dependent coupled harmonic oscillator
  • entangled states
  • two-mode squeezed states


Dive into the research topics of 'Two-mode squeezed state generation using the Bohm potential'. Together they form a unique fingerprint.

Cite this