I am applied to UIUC, UMich, UColorado and Rice (best ranked among the universities I applied to) for Condensed Matter Theory (for a Ph.D in Physics). My GRE score is Q163, V163. I am an international student with a 3.91 WES evaluated undergrad GP. I don't have publications but a decent research experience. I recently found out that these schools were much competitive than I had projected, my chances have begun to look dim especially because of my poor Quant score. Do I have a decent shot?