The quantum phases of matter

Understand

I present a selective survey of the phases of quantum matter with varieties of many-particle quantum entanglement.

• I classify the phases as gapped, conformal, or compressible quantum matter.
• Gapped quantum matter is illustrated by a simple discussion of the Z_2 spin liquid, and connections are made to topological field theories.
• I discuss how conformal matter is realized at quantum critical points of realistic lattice models, and make connections to a number of experimental systems.