PSI 2016/2017 - Condensed Matter Review (Vidal)

Course outline, Ising CFT

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

Reduced density matrix and charicterzation of entanglement

Operator algebras, Majorana representation and Wick's theorem

Entanglement entropy for free fermionic systems

Scaling of entanglement entropy

Entanglement entropy and universality, c-theorem

Basics of tensor networks 

Matrix product states

Matrix product states, low energy excited states and time evolution

Computational efficiency of MPS and MERA, scale invariance of MERA

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