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Vortex Nucleation In A Dissipative Variant Of The Nonlinear Schrödinger Equation Under Rotation, R. Carretero-González, Panayotis G. Kevrekidis, T. Kolokolnikov

Mathematics and Statistics Department Faculty Publication Series

In the present work, we motivate and explore the dynamics of a dissipative variant of the nonlinear Schrödinger equation under the impact of external rotation. As in the well established Hamiltonian case, the rotation gives rise to the formation of vortices. We show, however, that the most unstable mode leading to this instability scales with an appropriate power of the chemical potential μ of the system, increasing proportionally toμ^2/3. The precise form of the relevant formula, obtained through our asymptotic analysis, provides the most unstable mode as a function of the atomic density and the trap strength. We …