English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study chaos and hyperchaos of Rydberg-dressed Bose-Einstein condensates(BECs) in a one-dimensional optical lattice. Due to the long-range soft-coreinteraction between the dressed atoms, the dynamics of the BECs are describedby the extended Bose-Hubbard model. In the mean-field regime, we analyze thedynamical stability of the BEC by focusing on the groundstate and localizedstate configuration. Lyapunov exponents of the two configurations arecalculated by varying the soft-core interaction strength, potential bias andlength of the lattice. Both configurations can have multiple positive Lyapunovexponents, exhibiting hyperchaotic dynamics. We show the dependence of thenumber of the positive Lyapunov exponents and the largest Lyapunov exponent onthe length of the optical lattice. The largest Lyapunov exponent is directlyproportional to areas of phase space encompassed by the associated Poincar\'esections. We demonstrate that linear and hysteresis quenches of the latticepotential and the dressed interaction lead to distinct dynamics due to thechaos and hyperchaos. Our work is relevant to current research on chaos, andcollective and emergent nonlinear dynamics of BECs with long-rangeinteractions.

Hyperchaos in a Bose-Hubbard chain with Rydberg-dressed interactions