Oscillatory stability of quantum droplets in $\text{}{ \mathcal P }{ \mathcal T }$-symmetric optical lattice

Jiehong Lao,Zheng Zhou,Xili Zhang,Fuqiu Ye,Honghua Zhong

Figure 3. (a) A phase diagram of the stability of ${ \mathcal P }{ \mathcal T }$-symmetric QDs with respect to N and g in the unbroken ${ \mathcal P }{ \mathcal T }$-symmetric phase (W0 = 0.05). (b) A phase diagram of the stability of ${ \mathcal P }{ \mathcal T }$-symmetric QDs with respect to N and g in the broken ${ \mathcal P }{ \mathcal T }$-symmetric phase (W0 = 0.2). (c) Phase diagram of ${ \mathcal P }{ \mathcal T }$-symmetric QDs relative to W0 and g by fixing N = 4. (d) The stability $\mathrm{Im}[\lambda ]$ versus the condensate norm N corresponds to a longitudinal section of g = 1 in (a). (e) and (f) are direct simulations of the perturbed evolution of ${ \mathcal P }{ \mathcal T }$-symmetric QDs of pentagram markers in (d), respectively. (g) The stability $\mathrm{Im}[\lambda ]$ versus the self-repulsion strength g corresponds to cross section of N = 4 in (a). (g) and (i) are direct simulations of the perturbed evolution of ${ \mathcal P }{ \mathcal T }$-symmetric QDs of pentagram markers in (g), respectively.