Choreographed entangle dances: topological states of quantum matter

Understand

For a long time, we thought that only symmetry breaking can give rise to different phases of matter.

• If there was no symmetry breaking, there would be no pattern and it would be featureless.
• But now we realize that, for quantum matter at zero temperature, even symmetric disordered liquids can have features, which give rise to topological phases of quantum matter.
• Some of the topological phases are highly entangled (i.e.