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Spread complexity and dynamical transition in two-mode Bose-Einstein condensations

Spread complexity and dynamical transition in two-mode Bose-Einstein condensations

We study the spread complexity in two-mode Bose-Einstein condensations 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 $\omega$ increases over a critical value $\omega_c$, we reveal that the spread complexity exhibits a sharp transition …