Exercise shorts

Advanced Computational Methods in Physics 2026: Quantum many body and tensor networks

Short silent films with captions, four per session, where in one to two minutes we see one idea of the session, with every number on screen computed with the same codes as the notebooks

Session 1: Many-body interactions and classical symmetry broken magnetism

Film 1.1 The exponential wall

Film 1.2 Superexchange: from electrons to spins

Film 1.3 Mean-field theory: the self-consistent loop

Film 1.4 Classical order and frustration

Session 2: Many-body quantum magnets

Film 2.1 A classical and a quantum magnet

Film 2.2 Exact diagonalization

Film 2.3 A magnetic field as a probe

Film 2.4 Gapped or gapless?

Session 3: Many-body correlated fermionic systems

Film 3.1 Charge order in the many-body spectrum

Film 3.2 The chemical potential as a gate

Film 3.3 Is the Hubbard chain magnetic?

Film 3.4 Spin-charge separation

Session 4: Tensor networks for many-body quantum magnets

Film 4.1 Matrix product states

Film 4.2 Entanglement and the area law

Film 4.3 Entanglement at a phase transition

Film 4.4 Fractionalization: the spin-1 chain

Session 5: Tensor networks for many-body correlated fermionic systems

Film 5.1 Fermions as spins: the Jordan-Wigner string

Film 5.2 A charge density wave at a hundred sites

Film 5.3 When is mean-field theory valid? The correlation entropy

Film 5.4 The density matrix renormalization group