Wednesday, 6 July 2022

Diffraction by Time crystals (1+1 dimensions)

Time crystals, being 1-dimensional, do not allow for diffraction.

But, theoretically it is possible to think of a (1+1)D `spacetime crystal' instead, to which Bragg's law $$n\lambda=2d\sin\theta$$ applies, but with d now being the Minkowski distance between the `planes' of time and space.

4D Bravais lattices $$\Lambda=\{\textbf{r}=in_0\textbf{a}_0 + n_1\textbf{a}_1 + n_2\textbf{a}_2 + n_3\textbf{a}_3 | n_i\in\mathbb{Z}\}$$

No comments:

Post a Comment