Breather excitations on the one-dimensional quantum droplet

We propose a possible way to excite breathers on the one-dimensional quantum droplets, which benefit from the introduction of quantum fluctuation and locally exhibit the homogeneous density distribution similar to plane waves. By the linear stability analysis and quenching technique, we abruptly change the nonlinear strength and add a periodic or localized modulation on it to excite the breathers on droplets. The Akhmediev and Kuznetsov-Ma breathers are excited numerically, and their maximal density and breathing period manifest the obvious dependence on the characters of modulation. Meanwhile, a perturbed plane wave also admits the novel breather dynamics, like the Akhmediev breather with double-row peaks and the spreading train of breathing solitons. Our results provide the guidance for breather excitation on self-bound background waves and deepen the understanding on the properties of quantum droplets.