Kolmogorov turbulence defeated by Anderson localization for a Bose-Einstein condensate in a Sinai-oscillator trap
arXiv:1703.07386 · doi:10.1103/PhysRevLett.119.054103
Abstract
We study the dynamics of a Bose-Einstein condensate in a Sinai-oscillator trap under a monochromatic driving force. Such a trap is formed by a harmonic potential and a repulsive disk located in the center vicinity corresponding to the first experiments of condensate formation by Ketterle group in 1995. We argue that the external driving allows to model the regime of weak wave turbulence with the Kolmogorov energy flow from low to high energies. We show that in a certain regime of weak driving and weak nonlinearity such a turbulent energy flow is defeated by the Anderson localization that leads to localization of energy on low energy modes. A critical threshold is determined above which the turbulent flow to high energies becomes possible. We argue that this phenomenon can be studied with ultra cold atoms in magneto-optical traps.
5 pages, 5 figures
References in corpus (9)
- Destruction of Anderson localization by a weak nonlinearity
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Emergence of a Turbulent Cascade in a Quantum Gas
- Nonlinear lattice waves in heterogeneous media
- Thermometry of a deeply degenerate Fermi gas with a Bose-Einstein condensate
- Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations
- Mesoscopic "Rydberg" atom in a microwave field
- Dynamics and thermalization of Bose-Einstein condensate in Sinai oscillator trap
- Kolmogorov turbulence, Anderson localization and KAM integrability