Bloch oscillations of Path-Entangled Photons

Abstract

We show that when photons in N-particle path entangled |N,0> + |0,N> state undergo Bloch oscillations, they exhibit a periodic transition between spatially bunched and antibunched states. The transition occurs even when the photons are well separated in space. We study the scaling of the bunching-antibunching period, and show it is proportional to 1/N.Comment: An error in figure 1b of the original manuscript was corrected, and the period $\lambda_B$ was redefine