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Spread complexity and dynamical transition in multimode Bose-Einstein condensates

Spread complexity and dynamical transition in multimode Bose-Einstein condensates

We study the spread complexity in two-mode Bose-Einstein condensates and unveil that the long-time average of the spread complexity ${\overline{C}}_{K}$ can probe the dynamical transition from self-trapping to Josephson oscillation. When the parameter $\ensuremath{\omega}$ increases over a critical value ${\ensuremath{\omega}}_{c}$, we reveal that the spread complexity exhibits a sharp transition …