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Ermann L, Vergini E, Shepelyansky DL. Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap. Phys Rev Lett. 2017;119(5):054103doi: 10.1103/PhysRevLett.119.054103.
Ermann, L., Vergini, E., & Shepelyansky, D. L. (2017). Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap. Physical review letters, 119(5), 054103. https://doi.org/10.1103/PhysRevLett.119.054103
Ermann, Leonardo, et al. "Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap." Physical review letters vol. 119,5 (2017): 054103. doi: https://doi.org/10.1103/PhysRevLett.119.054103
Ermann L, Vergini E, Shepelyansky DL. Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap. Phys Rev Lett. 2017 Aug 04;119(5):054103. doi: 10.1103/PhysRevLett.119.054103. Epub 2017 Aug 02. PMID: 28949742.
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Phys Rev Lett. 2017 Aug 04;119(5):054103. doi: 10.1103/PhysRevLett.119.054103. Epub 2017 Aug 02.

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

Physical review letters

Leonardo Ermann, Eduardo Vergini, Dima L Shepelyansky

Affiliations

  1. Departamento de Física, Gerencia de Investigación y Aplicaciones, Comisión Nacional de Energía Atómica. Av. del Libertador 8250, 1429 Buenos Aires, Argentina.
  2. CONICET, Godoy Cruz 2290 (C1425FQB) CABA, Argentina.
  3. Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France.

PMID: 28949742 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 and co-workers in 1995. We allow that the external driving allows us 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. This is in a drastic contrast to the random phase approximation leading to energy flow to high 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 ultracold atoms in magneto-optical traps.

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