When continuous symmetry is spontaneously broken, there appear Nambu–Goldstone
modes (NGMs) with linear or quadratic dispersion relation, which is called type-I or type-II …

We report new matter-wave solutions of the one-dimensional spin-1 Bose-Einstein
condensate system by combining global spin-rotation states and similarity transformation …

Spin-orbit coupling has novel spin-flip symmetries, a spin-1 spinor Bose-Einstein
condensate owns meaningful interactions, and a toroidal trap is topologically nontrivial. We …

We analyze sound waves (phonons, ie Bogoliubov excitations) propagating on continuous-
wave (cw) solutions of repulsive F= 1 spinor Bose-Einstein condensates (BECs) such as Na …

In this thesis, we develop general methods to analytically obtain the ground state profiles
and associated ground state properties of a spin-1 Bose-Einstein condensate under …