Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap

ERMANN, LEONARDO; VERGINI, EDUARDO; SHEPELYANSKY, DIMA L.

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Año: 2017 vol. 119

0031-9007

We study the dynamics of a Bose-Einstein condensate in a Sinai-oscillator trap under a monochromaticdriving force. Such a trap is formed by a harmonic potential and a repulsive disk located in the centervicinity corresponding to the first experiments of condensate formation by Ketterle and co-workers in 1995.We allow that the external driving allows us to model the regime of weak wave turbulence with theKolmogorov energy flow from low to high energies. We show that in a certain regime of weak driving andweak nonlinearity such a turbulent energy flow is defeated by the Anderson localization that leads tolocalization of energy on low energy modes. This is in a drastic contrast to the random phase approximationleading to energy flow to high modes. A critical threshold is determined above which the turbulent flow tohigh energies becomes possible. We argue that this phenomenon can be studied with ultracold atoms inmagneto-optical traps.