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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+P Equations✄ get two stochastic Raman-modified nonlinear Schrödinger equations:∂∂x φ(t,x) = − Z ∞+dt ′ g(t −t ′ )φ(t ′ ,x) + Γ(t,x) ± i−∞ 2∂t 2φZ ∞]dt ′ h(t −t ′ )φ + (t ′ ,x)φ(t ′ ,x) + Γ R (t,x) φ(t,x)[i−∞Z∂∞∂x φ+ (t,x) = − dt ′ g ∗ (t −t ′ )φ + (t ′ ,x) + Γ + (t,x) ∓ i ∂ 2−∞ 2∂t [2φZ ∞]+ −i dt ′ h ∗ (t −t ′ )φ(t ′ ,x)φ + (t ′ ,x) + Γ R+ (t,x)−∞✄ for non-classical states, φ and φ + are not complex conjugate∂ 2φ + (t,x)<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> 31
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