Course description

This course, lectured by Prof. Shuo Yang, is a graduate course of Department of Physics, Tsinghua University, which is mainly open to graduate students or senior undergraduates majoring in condensed matter physics, atomic and molecular physics, theoretical physics, and other related majors. This course introduces modern computational approaches beyond conventional analytic and perturbative methods. The selected topics include, but are not limited to, Exact Diagonalization, Density Matrix Renormalization Group, Quantum Monte Carlo, and Tensor Network methods, etc.

Notes

Codes

  • This github repo contains the coding homework of this course written by me.
  • contents:
    • 0925_task Exact Diagonalization of an extended Hubbard model using \(\mathrm{U(1)}\) symmetry & time-evolution of a single-particle Gaussian wavepackage under a 1D tight-binding gradient field note (U(1) symmetry) note (time evolution)
    • 1007_task Exact Diagonalizaition for dispersion relation of transverse-field Ising model using \(k\)-sector symmetry note
    • 1016_task Traditional finite DMRG for transverse-field Ising model note
    • 1023_task Constructing MPO using finite state automata for a square-lattice spin model note
    • 1031_task Variational MPS for open-boundary-conditioned 1D Ising cluster model note
    • 1106_task 3-site iTEBD for an infinite 1D Ising cluster model note
    • 1113_task Classical Monte-Carlo for 2D classical Ising model note
    • 1204_task Constructing the 4-fold degenerated ground states of Kitaev’s toric code model using PEPS note