Impact of inelastic processes on the chaotic dynamics of a Bose-Einstein condensate trapped into a moving optical lattice
| Autor: | Francois M. M. Kakmeni, Clément Tchawoua, Sylvin Tchatchueng, Martin Siewe Siewe |
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| Rok vydání: | 2017 |
| Předmět: |
Condensed Matter::Quantum Gases
Fluid Flow and Transfer Processes Physics Optical lattice Chaotic General Physics and Astronomy Parameter space 01 natural sciences law.invention Nonlinear Sciences::Chaotic Dynamics Complex dynamics Classical mechanics law 0103 physical sciences Dissipative system Homoclinic orbit 010306 general physics 010301 acoustics Bose–Einstein condensate Bloch wave |
| Zdroj: | The European Physical Journal Plus. 132 |
| ISSN: | 2190-5444 |
| Popis: | We investigate the dynamics of a Bose-Einstein condensate with attractive two-body and repulsive three-body interactions between atoms trapped into a moving optical lattice and subjected to some inelastic processes (a linear atomic feeding and two dissipative terms related to dipolar relaxation and three-body recombination). We are interested in finding out how the nonconservative terms mentioned above act on the dynamical behaviour of the condensate, and how they can be used in the control of possible chaotic dynamics. Seeking the wave function of condensate on the form of Bloch waves, we notice that the real amplitude of the condensate is governed by an integro-differential equation. As theoretical tool of prediction of homoclinic and heteroclinic chaos, we use the Melnikov method, which provides two Melnikov functions related to homoclinic and heteroclinic bifurcations. Applying the Melnikov criterion, some regions of instability are plotted in the parameter space and reveal complex dynamics (solitonic stable solutions, weak and strong instabilities leading to collapse, growth-collapse cycles and finally to chaotic oscillations). It comes from some parameter space that coupling the optical intensity and parameters related to atomic feeding and atomic losses (dissipations) as control parameters can help to reduce or annihilate chaotic behaviours of the condensate. Moreover, the theoretical study reveals that there is a certain ratio between the atomic feeding parameter and the parameters related to the dissipation for the occurrence of chaotic oscillations in the dynamics of condensate. The theoretical predictions are verified by numerical simulations (Poincare sections), and there is a certain reliability of our analytical treatment. |
| Databáze: | OpenAIRE |
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