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Abstract: We analyze vortex nucleation in mezoscopic 2D Bose superfluid in a rotatingtrap. We explicitly include a weakly anisotropic stirring potential, breakingthus explicitly the axial symmetry. As the rotation frequency passes thecritical value $\Omega c$ the system undergoes an extra symmetrychange-breaking. Well below $\Omega c$ the ground state is properly describedby the mean field theory with an even condensate wave function. Well above$\Omega c$ the MF solution works also well, but the order parameter becomesodd. This phenomenon involves therefore a discrete parity symmetry breaking. Inthe critical region the MF solutions exhibit dynamical instability. The truemany body state is a strongly correlated entangled state involving twomacroscopically occupied modes eigenstates of the single particle densityoperator. We characterize this state in various aspects: i the eligibilityfor adiabatic evolution; ii its analytical approximation given by themaximally entangled combination of two single modes; and finally iii itsappearance in particle detection measurements.



Autor: D. Dagnino, N. Barberán, M. Lewenstein

Fuente: https://arxiv.org/



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