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Strong light-matter coupling: transient superconductivity in optical stimulated systems and electronic properties inside optical cavities
Giacomo Mazza (CPhT, Ecole Polytechnique, Université Paris-Saclay)
The interaction between light and matter has been intensively used for probing the properties of condensed matter systems. In the last years, this paradigm evolved and the light-matter interaction has become a tool for strongly modify the systems properties and accessing states of matter that are not present (or hidden) in equilibrium conditions. In this talk I will discuss two different examples.
In the first case I will consider the optical stimulation of solids by means of strong light pulses. A series of recent experiments reported the observations of light-induced modification of the electronic properties suggestive of the formation of transient superconducting states. Remarkably these transient states extend far above the equilibrium critical temperatures and appear in different compounds, as cuprates and organics superconductors (fullerides) [1,2]. I will discuss from the theoretical point of view possible realisations of such transient superconductivity in simplified models for correlated superconductors. In particular, I will start from the general case of superconductivity induced by a strong attractive interaction  and then move the more specific case of fullerides .
As a second example I will consider the electronic properties of materials placed inside high-finesse optical cavities, where the vacuum electromagnetic field strongly interact with a given electronic transition. I will discuss how the electronic properties are modified by the light-matter coupling and how the latter can be used to tune the electronic transport properties.
-  D. Fausti et al., Light-induced superconductivity in a stripe-ordered cuprate, Science 331, 189 (2011)
-  M. Mitrano et al., Possible light-induced superconductivity in K3C60 at high temperature, Nature 530, 461 (2016)
-  G. Mazza, From sudden quench to adiabatic dynamics in the attractive Hubbard model, arXiv:1708.01096
-  G. Mazza and A. Georges, Nonequilibrium superconductivity in driven alkali-doped fullerides, Phys.Rev.B 96, 064515 (2017).