(Georgia Institute of Technology, 2016-10-11)
Brandão, Fernando
In this talk I will show that quantum many-body
states satisfying an area law for entanglement have a local
entanglement spectrum, i.e. the entanglement spectrum can
be approximated by the spectrum of a local model acting on
the boundary of the region. The result follows from a version
of the Hammersley-Clifford Theorem (which states that
classical Gibbs states are equivalent to Markov networks) for
quantum approximate Markov chains. In particular I'll argue
that those are in one-to-one correspondence to 1D quantum
Gibbs states