Dipole-mode and scissors-mode oscillations of a dipolar supersolid

We study dipole-mode and scissors-mode oscillations of a harmonically trapped dipolar supersolid, composed droplets arranged on one-dimensional (1D) or 2D lattice, to establish the robustness its crystalline structure under translation rotation, using beyond-mean-field model including Lee-Huang-Yang interaction. The atoms are polarized in $z$ direction with supersolid lying $x\text{\ensuremath{-}}y$ plane. A stable oscillation is possible case both quasi-1D quasi-2D supersolids, whereas sustained angular only between maximum minimum trap anisotropy In cases there no visible deformation during oscillation. theoretical estimate scissors-mode-oscillation frequency good agreement present results improves an increase number also confining frequencies. this can be tested experimentally knowhow.