Quantum Monte Carlo
Variational sampling, projection, and the sign problem.
Learning sequence
- Variational Monte Carlo and local energy — Rewrite a quantum expectation as a sampled local-energy average.
- Imaginary time and diffusion Monte Carlo — Derive drift-diffusion and separate nodal, timestep and sampling errors.
- Path integrals, ring polymers, and the sign problem — Derive a closed imaginary-time path and understand exchange cancellation.
Read in sequence. Each lesson states its assumptions, derivation steps, and domain of validity.
