Orateur
Description
There has been a growing body of work on driven CFTs. One can deform the Hamiltonian by applying e.g. a spatial deformation. This mimicks a deformed spin chain with non-uniform couplings, with a strength profile following some envelope function. One can then apply Floquet driving by alternating between the deformed and undeformed Hamiltonian, and study what happens to the system during the time evolution. In this way one can find different phases, such as in one phase the system absorbs work and heats up, in another the work is returned and then absorbed again and on and on.
There has also been much work on circuit complexity of CFTs. There the time evolution is viewed as a continuous circuit of unitary operators, and notions of circuit complexity of quantum algorithms can be implemented with a suitable cost function. The cost function can e.g. be based on a quantum information geometry.
My talk combines these two topics: I will investigate the so-called Bogoliubov-Kubo-Mori quantum information metric applied to driven CFTs, and relate driving to a background spacetime metric. This provides new connections between quantum information geometry, CFTs, holography, and non-equilibrium physics.