Lectures on Exact Diagonalization

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Lectures given at Master 2 level at ICFP during the Numerical Physics course (since Nov. 2016)

Author : Guillaume Roux

  • Lecture 1 : Ising in a transverse field
  • Tutorial 1 : Lanczos algorithm
  • Lecture 2 : Heisenberg model, spin conservation and translation invariance
  • Tutorial 2 : Dispersion relations of spin chains
  • Homework : Gap and correlations in the ITF model, time-evolution
  • Homework : Harmonic oscillator and Jayne Cummings

References