Spontaneous symmetry breaking and elementary excitation are two of the pillars of condensed matter physics that are closely related to each other. The symmetry and its spontaneous breaking not only control the dynamics and spectrum of elementary excitations, but also determine their underlying structures. In this talk, we study the excitation properties of non-equilibrium quantum matters: In the first part, we propose an instanton-like excitation that represents a tunneling between two ``degenerate'/info/1112/' time crystal phases, which spontaneously breaks the discrete temporal translational symmetry. In the second part, we will discuss how the non-equilibrium feature of a driven-dissipative magnet qualitatively changes the dynamical behavior of the quasi-particles and give rise to an emergent confinement between them.