Solvable drives in Conformal field theories
APA
(2024). Solvable drives in Conformal field theories. SciVideos. https://youtu.be/UIBZXbWLYqg
MLA
Solvable drives in Conformal field theories. SciVideos, Aug. 29, 2024, https://youtu.be/UIBZXbWLYqg
BibTex
@misc{ scivideos_ICTS:29460, doi = {}, url = {https://youtu.be/UIBZXbWLYqg}, author = {}, keywords = {}, language = {en}, title = {Solvable drives in Conformal field theories}, publisher = {}, year = {2024}, month = {aug}, note = {ICTS:29460 see, \url{https://scivideos.org/icts-tifr/29460}} }
Abstract
We consider a class of exactly solvable Hamiltonian deformations of Conformal Fields Theories (CFTs) in arbitrary dimensions. The deformed Hamiltonians involve generators which form a SU(1,1) subalgebra. The Floquet and quench dynamics can be computed exactly. The CFTs exhibit distinct heating and non-heating phases at late times characterized by exponential and oscillatory correlators as functions of time. When the dynamics starts from a homogenous state, the energy density is shown to localize spatially in the heating phase. The set-ups considered will involve step pulses of different Hamiltonians, but can be generalized to smooth drives. In low dimensions we verify our results with lattice numerics.