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2011

Winding up superfluid in a torus via Bose Einstein condensation

Das, Arnab, Sabbatini, Jacopo, Zurek, Wojciech H.

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We simulate Bose-Einstein condensation (BEC) in a ring employing stochastic Gross-Pitaevskii equation and show that cooling through the critical temperature can generate spontaneous quantized circulation around the ring of the newborn condensate.

Dispersion of the resulting winding numbers follows scaling law predicted by the Kibble-Zurek mechanism (KZM).
Density growth also exhibits scaling behavior consistent with KZM.
This paves a way towards experimental verification of KZM scalings, and experimental determination of critical exponents for the BEC transition.

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We use dimensionless units given by ℏ = 1 , \hbar=1, m = 1 m=1 (mass of 1 Rb atom) and ℏ ω = 1 \hbar\omega=1 with ω = 1 / 40 π \omega=1/40\pi . Also, for small g ~ \tilde{g} we have τ 0 = γ / ( 1 + γ 2 ) \tau_{0}=\gamma/(1+\gamma^{2}) and ξ 0 = 1 / 2 \xi_{0}=1/\sqrt{2} ; [ 3 ]

Cited in the paper.

Before quench we thermalize the system at initial ϵ \epsilon . T = 10 − 3 T=10^{-3} , γ = 10 − 2 \gamma=10^{-2} and g ~ = 0.05 \tilde{g}=0.05 are held constant ∀ t \forall t

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2011

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