We present a method to numerically compute accurate tunnelling rates for a Bose-Einstein condensate which is described by the nonlinear Gross-Pitaevskii equation. Our method is based on a sophisticated real-time integration of the complex-scaled Gross-Pitaevskii equation, and it is capable of finding the stationary eigenvalues for the Wannier-Stark problem. We show that even weak nonlinearities have significant effects in the vicinity of very sensitive resonant tunnelling peaks, which occur in the rates as a function of the Stark field amplitude. The mean-field interaction induces a broadening and a shift of the peaks, and the latter is explained by an analytic perturbation theory.

Tunnelling rates for the nonlinear Wannier-Stark problem / S. Wimberger;P. Schlagheck;R. Mannella. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 39:3(2006), pp. 729-740. [10.1088/0953-4075/39/3/024]

Tunnelling rates for the nonlinear Wannier-Stark problem

WIMBERGER, Sandro Marcel;
2006

Abstract

We present a method to numerically compute accurate tunnelling rates for a Bose-Einstein condensate which is described by the nonlinear Gross-Pitaevskii equation. Our method is based on a sophisticated real-time integration of the complex-scaled Gross-Pitaevskii equation, and it is capable of finding the stationary eigenvalues for the Wannier-Stark problem. We show that even weak nonlinearities have significant effects in the vicinity of very sensitive resonant tunnelling peaks, which occur in the rates as a function of the Stark field amplitude. The mean-field interaction induces a broadening and a shift of the peaks, and the latter is explained by an analytic perturbation theory.
Tunnelling rates for the nonlinear Wannier-Stark problem / S. Wimberger;P. Schlagheck;R. Mannella. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 39:3(2006), pp. 729-740. [10.1088/0953-4075/39/3/024]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2696712
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