Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I

Understand

In this paper and its sequel, we study non-equilibrium dynamics in driven 1+1D conformal field theories (CFTs) with periodic, quasi-periodic, and random driving.

• We study a soluble family of drives in which the Hamiltonian only involves the energy-momentum density spatially modulated at a single wavelength.
• The resulting time evolution is then captured by a M\"obius coordinate transformation.
• In this Part I, we establish the general framework and focus on the first two classes.