Statistical Analysis of Highly Correlated Systems in Biology and Physics
I have also used Path Integral Monte Carlo techniques to explore the limit of rapid rotations, where the Gross-Pitaevskii equation is no longer valid. Interestingly, the Gross-Pitaevskii equation seems to be valid for much higher densities than expected if properly renormalized. I show that, in accord with the prediction of the Gross-Pitaevskii equations, a scale invariant vortex lattice state is found at high rotations.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign