Lun. 12/11/2018 14:00 Grande Ourse, Bâtiment 13, Etage 1Séminaire
ROUSSEAU Emmanuel (L2C)
Surprises in the modeling of quantum metamaterials
Optical metamaterials are man-made materials exhibiting unusual optical properties. They behave as homogeneous materials (at least for some frequency ranges) whereas their optical properties arise from multiple scattering events i.e. from collective effects. This is illustrated in Fig.1.Pour plus d'informations, merci de contacter Alexandrov S.
It has been suggested recently to introduce quantum emitters into metamaterials [1,2] in order to benefit from quantum effects to manipulate the propagation of light. As an example, quantum metamaterials could present a photonic band-gap oscillating in time with the Rabi frequency of the quantum emitters .
The starting point of the modeling of quantum metamaterials is the choice of a Hamiltonian that describes the quantum dynamics of the emitters and the (quantized) electromagnetic field. Although this seems as old a topic as quantum optics itself, we will show that this choice is not free of “surprises”. We will explain that a result as old as the Power-Zienau-Woolley transform, intensively used to model the interaction of the quantum electromagnetic field with matter, is actually not correct . Indeed, we will show that it breaks the gauge-independence of the electromagnetic field and we will draw the consequences of the breaking of the gauge-independence at the quantum level.
1. A. M. Zagoskin, D. Felbacq, and E. Rousseau, EPJ Quantum Technol. 3, 2 (2016).
2. A. L. Rakhmanov et al., Phys. Rev. B 77, 144507 (2008)
3. E. A. Power and S. Zienau, Phil. Trans. Roy. Soc. Lond. A: Math., Phys. and Eng. Sc. 251, 427-454 (1959)
4. E. Rousseau and D. Felbacq Sci. Rep. 7:11115 (2017)