https://doi.org/10.1140/epjp/s13360-025-06484-w
Regular Article
Chaotic dynamics of Bose–Einstein condensates with tunable scattering length trapped in a tilted optical lattice potential
1
Department of Physics, H.H. The Rajah’s College (Autonomous) (Affiliated to Bharathidasan University, Tiruchirappalli-620024, India), 620024, Pudukkottai, Tamilnadu, India
2
Instituto de Física Teórica, UNESP–Universidade Estadual Paulista, 01140-070, São Paulo, Brazil
3
Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
4
Department of Civil Engineering, Advanced Teacher’s Training College of the Technical Education, University of Douala, P.O. Box 1872, Douala, Cameroon
Received:
22
February
2025
Accepted:
26
May
2025
Published online:
17
June
2025
This study investigates the emergence of chaotic dynamics in Bose–Einstein condensates (BECs) subjected to both alternating (AC) and constant (DC) components of the interaction strength, modeled through the scattering length. We systematically explore how the interplay of AC and DC nonlinearities affects the dynamical evolution of the condensate under a tilted optical lattice potential. Various types of chaos are identified across different parametric regimes, with numerical simulations revealing a clear distinction between regular and chaotic domains. The width of the regular domains is quantified, and the influence of AC and DC components in promoting stochastic behavior is highlighted. Lyapunov exponents, Poincaré sections, and other chaos indicators then confirm the transition to chaotic dynamics, in agreement with analytical expectations. A qualitative conjecture is proposed for the role of these interactions in BEC stabilization. Our findings offer insights into the dynamic control of BECs, with potential applications in quantum simulation and coherent matter-wave engineering, in line with entanglement and quantum transport, that are crucial for developing robust and reliable quantum technologies.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
