Simulating many-body physics with quantum phase-space methods
Simulating many-body physics with quantum phase-space methods
Simulating many-body physics with quantum phase-space methods
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Fermionic sign problem✄ Quantum Monte Carlo (QMC) samples <strong>many</strong>-<strong>body</strong> wavefunction φ(r) (wavefunctiontreated as a probability)✄ but Fermion states are antisymmetric➜ wavefunction nonpositive✄ must introduce (possibly negative) weighting factors➜ bad sampling errors (unless approximations used)〈A〉∼〈sA〉〈s〉<strong>Simulating</strong> <strong>many</strong>-<strong>body</strong> <strong>physics</strong> <strong>with</strong> <strong>quantum</strong> <strong>phase</strong>-<strong>space</strong> <strong>methods</strong> 36