Quantum simulation of an extra dimension

Phys Rev Lett. 2012 Mar 30;108(13):133001. doi: 10.1103/PhysRevLett.108.133001. Epub 2012 Mar 29.


We present a general strategy to simulate a D+1-dimensional quantum system using a D-dimensional one. We analyze in detail a feasible implementation of our scheme using optical lattice technology. The simplest nontrivial realization of a fourth dimension corresponds to the creation of a bi-volume geometry. We also propose single- and many-particle experimental signatures to detect the effects of the extra dimension.