Hi, I have a 3.7GPA overall, in physics, and in math (double major in physics and math). I come from a no name liberal arts university with no graduate program in physics or math, I have 3 internships but in experimental work and with no publications. And yes I am a US student.
Suppose I get a 990PGRE in the upcoming test (I am pretty confident I will get it and I am studying like a mad man to ensure so), what rankings for physics graduate school can I apply to? I am interested in theoretical condensed matter physics (PhD of course). E.g., should apply to some top 10s, top 40s, top 100s,..? What are my chances?