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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Positive-Definite Diffusion✄ Modify interaction term <strong>with</strong> a ‘Fermi gauge’:U ∑j: ̂n j j,↓̂n j j,↑ : = − 1 2 |U| ∑j=⇒ diffusion matrix has a real ‘square root’ matrix:(̂n j j,↓ − |U|̂n U ) 2j j,↑ :=⇒ realise the diffusion <strong>with</strong> a real noise process=⇒ problem maps to a real (and much more stable) sub<strong>space</strong><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> 38
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