PSI 2016/2017 - Condensed Matter Review (Vidal)

PEPS, branching MERA, TNs in statistical mechanics, TNs in holography

Computational efficiency of MPS and MERA, scale invariance of MERA

Matrix product states, low energy excited states and time evolution

Matrix product states

Basics of tensor networks 

Entanglement entropy and universality, c-theorem

Scaling of entanglement entropy

Entanglement entropy for free fermionic systems

Operator algebras, Majorana representation and Wick's theorem

Reduced density matrix and charicterzation of entanglement

Computational cost, power method, exact diagonalization and sparse vector update

Course outline, Ising CFT