Search

Your search keyword '"Kofané, T.C."' showing total 2 results
Start Over Author "Kofané, T.C." Topic bose-einstein condensation
2 results on '"Kofané, T.C."'

1. A variational approach to the modulational-oscillatory instability of Bose–Einstein condensates in an optical potential.

Author

Sabari, S., Wamba, E., Porsezian, K., Mohamadou, A., and Kofané, T.C.

Subjects
*VARIATIONAL approach (Mathematics), *MODULATIONAL instability, *BOSE-Einstein condensation, *NUCLEAR optical potentials, *ORDINARY differential equations, *POTENTIAL theory (Physics)
Abstract

Abstract: We use the time-dependent variational approach to demonstrate how the modulational and oscillatory instabilities can be generated in Bose–Einstein condensates (BECs) trapped in a periodic optical lattice with weak driving harmonic potential. We derive and analyze the ordinary differential equations for the time evolution of the amplitude and phase of the modulational perturbation, and obtain the instability condition of the condensates through the effective potential. The effect of the optical potential on the dynamics of the BECs is shown. We perform direct numerical simulations to support our theoretical findings, and good agreement is found. [Copyright &y& Elsevier]

Published
2013
Full Text
View/download PDF

2. Quantum corrections to the modulational instability of Bose–Einstein condensates with two- and three-body interactions.

Author

Lekeufack, O.T., Sabari, S., Yamgoué, S.B., Porsezian, K., and Kofané, T.C.

Subjects
*QUANTUM theory, *MODULATIONAL instability, *BOSE-Einstein condensation, *THREE-body problem, *TWO-body problem (Physics), *GROSS-Pitaevskii equations
Abstract

We study the amplitude perturbations of the cubic–quintic Gross–Piteavskii equation for weakly trapped Bose–Einstein condensates through a semiquantum procedure. After a quantization of the original problem, with the introduction of quantum degrees of freedom as the fluctuations around classical parameters, a new dynamical modulational instability condition is derived. Corrective terms bear quantum effects that play a crucial role over the reshape of instability domain and sometimes train all unstable modes into full stability. By making use of several indicators through direct numerical simulations of the subsequent set of equations of motion, we found that there are rooms of regular trajectories and those of totally chaotic ones that are strictly related to instability. These numerical results are in agreement with the analytical predictions regarding the stabilization of Bose–Einstein condensates. [ABSTRACT FROM AUTHOR]

Published
2015
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results