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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Branching✄ averages are weighted,eg〈̂n(τ) 〉 = ∑N pj=1 Ω( j) (τ)n ( j) (τ)∑ N pj=1 Ω( j) (τ)✘ but weights spread exponentially=⇒ <strong>many</strong> irrelevant paths=⇒ delete low-weight paths and clone high-weight paths:m ( jp) = Integer[ ]ξ + Ω ( jp) /Ω✄ ξ ∈ [0,1] is a random variable, Ω is an average weight✄ after branching, weights of surviving paths are equalised<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> 41
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