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Vortex nucleation in mesoscopic Bose superfluid and breaking of the parity symmetry
- Source :
- Phys. Rev. A 80, 053611 (2009)
- Publication Year :
- 2009
-
Abstract
- We analyze vortex nucleation in mezoscopic 2D Bose superfluid in a rotating trap. We explicitly include a weakly anisotropic stirring potential, breaking thus explicitly the axial symmetry. As the rotation frequency passes the critical value $\Omega_c$ the system undergoes an extra symmetry change/breaking. Well below $\Omega_c$ the ground state is properly described by the mean field theory with an even condensate wave function. Well above $\Omega_c$ the MF solution works also well, but the order parameter becomes odd. This phenomenon involves therefore a discrete parity symmetry breaking. In the critical region the MF solutions exhibit dynamical instability. The true many body state is a strongly correlated entangled state involving two macroscopically occupied modes (eigenstates of the single particle density operator). We characterize this state in various aspects: i) the eligibility for adiabatic evolution; ii) its analytical approximation given by the maximally entangled combination of two single modes; and finally iii) its appearance in particle detection measurements.<br />Comment: 14 pages, 27 figures
- Subjects :
- Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. A 80, 053611 (2009)
- Publication Type :
- Report
- Accession number :
- edsarx.0907.0564
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.80.053611