  Model checking has been successfully applied to verification of computer
hardware and software, communication systems and even biological systems. In
this paper, we further push the boundary of its applications and show that it
can be adapted for applications in quantum physics. More explicitly, we show
how quantum statistical and many-body systems can be modeled as quantum Markov
chains, and some of their properties that interest physicists can be specified
in linear-time temporal logics. Then we present an efficient algorithm to check
these properties. A few case studies are given to demonstrate the use of our
algorithm to actual quantum physical problems.
