## Quantum Gravity and Nonlinear Optics: the Generalized Uncertainty Principle

Quantum gravity is one of the most intriguing fields of physics, people is working a lot for finding an experimental framework.

It is apparently impossible to reach in the laboratory the required energies, many consider the scale of the Universe, looking for high energy particles.

Perhaps we can play the quantum gravity game in the laboratory by using nonlinear optics. It is really interesting that the equations that describe some of the modifications of quantum mechanics, which are supposed to hold true at the Planck scale (as the famous KMM proposal), are also valid for the propagation of nonparaxial nonlocal optical beams. This is treated in a recent work in Phys. Rev. A (ArXiv:1406.6677)

One of the simplest and beautiful predictions of the quantum gravity literature is the possibility of a generalized uncertainty principle, which reads as

that implies that the spatial uncertainity cannot be smaller than a minimal quantity. The states that satistfy this condition are named the maximally localized states.

In Phys. Rev. A (ArXiv:1406.6677) we show that in nonlinear optics these states can be excited by an ultrafocused laser beam, this provides fascinating analogs of supposed quantum gravity effects.

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