Floquet conformal field theory

Abstract

Given a $generic$ two-dimensional conformal field theory (CFT), we propose an analytically solvable setup to study the Floquet dynamics of the CFT, i.e., the dynamics of a CFT subject to a periodic driving. A complete phase diagram in the parameter space can be analytically obtained within our setup. We find two phases: the heating phase and the non-heating phase. In the heating phase, the entanglement entropy keeps growing linearly in time, indicating that the system keeps absorbing energy; in the non-heating phase, the entanglement entropy oscillates periodically in time, i.e., the system is not heated. At the phase transition, the entanglement entropy grows logarithmically in time in a universal way. Furthermore, we can obtain the critical exponent by studying the entanglement evolution near the phase transition. Mathematically, different phases (and phase transition) in a Floquet CFT correspond to different types of M$\ddot{\text{o}}$bius transformations.

are welcome; 19 pages, 1 table; v2: refs added

Cited by in corpus (7)

• Geometric approach to inhomogeneous Floquet systems
• Deterministic chaos and fractal entropy scaling in Floquet CFT
• Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Probing infinite many-body quantum systems with finite-size quantum simulators
• Periodically driven perturbed CFTs: the sine-Gordon model
• Universality in Non-Equilibrium Quantum Systems