Conformal properties of a periodically driven 1D quantum system

In this paper, we investigate conformal properties of a one-dimensional quantum system in the presence of an oscillating, time-dependent barrier. We compute the conformal anomaly c. We consider two methods: the well-known low-temperature expansion of the free-energy, and the analysis of the scaling regime under a deformation by a scaling operator [Formula: see text], that explicitly breaks conformal symmetry. The first method allows us to show that, as a consequence of the oscillations, c becomes dependent on the corresponding amplitude. Then, by combining these two approaches, we show that the correlation length [Formula: see text] gets an additional interaction dependent factor.