Floquet conformal field theories with generally deformed Hamiltonians

In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) 1+1D, which the driving Hamiltonian involves energy-momentum density spatially modulated by an arbitrary smooth function. This generalizes earlier work was restricted to sine-square deformed type of Hamiltonians, operating within a \mathfrak{sl}_2 ????????2 sub-algebra. Here show remarkably that problem remains soluble generalized case full Virasoro algebra, based on geometrical approach. It is found phase diagram determined stroboscopic trajectories operator evolution. The presence/absence spatial fixed points evolution indicates driven CFT heating/non-heating phase, entanglement entropy grows/oscillates time. Additionally, heating regime further subdivided into multitude phases, with different patterns and distribution density, are characterized number points. Phase transitions between these phases can be achieved simply changing duration application Hamiltonian. %In general, there rich internal structures numbers points, result space. %Interestingly, after each cycle, will shuffle other array, come back original locations p display="inline">p ( p\ge 1 display="inline">p?1 ) cycles. We demonstrate general features concrete examples compare results lattice calculations find remarkable agreement.