Stimulated electron-electron interaction in cavities*

Electron interactions mediated by the exchange of virtual bosonic excitations form a central cornerstone in quantum many-body theory where they are responsible for many-body phases such as superconductivity [1,2]. More recently, interactions mediated by excitations with photonic character, such as exciton-polaritons [3,4] and transverse cavity photons [5] have also been tipped to lead to superconductivity. We propose a novel scheme to engineer stimulated electron interactions in any 2D electron system coupled to a cavity under driving. The interaction can be tuned to be attractive (or repulsive) and lead to Cooper instability at temperature up to ~1K. Our scheme opens up a new avenue for on-demand quantum material engineering.

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[2] P. A. Lee, N. Nagaosa, X.G. Wen, Rev. Mod. Phys. 78, 17 (2006)
[3] F. P. Laussy, A. V. Kavokin, I. A. Shelykh Phys. Rev. Lett. 104, 106402 (2010)
[4] O. Cotlet, S. Zeytinoglu, M. Sigrist, E. Demler, A. Imamoglu, Phys. Rev. B 93, 054510 (2016)
[5] F. Schlawin, A. Cavalleri, D. Jaksch, Phys. Rev. Lett. 122, 133602 (2019)