Nonequilibrium polariton condensates: Microscopic theory and macroscopic phenomenology

Jonathan Keeling

University of Cambridge

Microcavity polaritons - superpositions of confined photons and excitons in quantum wells - have been the subject of much experimental and theoretical work recently, following the experimental realisation of condensation of polaritons. One important difference between polariton condensates and previous examples such as Helium or cold atoms is that polaritons have relatively short lifetimes. On the other hand, compared to lasers, polaritons are more strongly interacting, and therefore much better able to thermalise than are photons. This combination leads to a picture of non-equilibrium condensation, in which there is a continual flux of particles through the system.

After introducing a microscopic model of polaritons, and reviewing some results of this model in equilibrium [1], I will discuss how the steady states in the presence of pumping and decay can be described, considering both the nature of the steady states, and fluctuations about them[2]. Motivated by these microscopic results, I will then discuss more macroscopic features, such as the non-equilibrium spectrum, and how it affects the possibility of superfluidity away from equilibrium, and conclude by talking about the way that pumping and decay change the large-scale structure expected in a non-equilibrium condensate[3].

[1] J. Keeling, F. M. Marchetti, M. H. Szymanska, and P. B. Littlewood, Semicond. Sci. Technol. 22, R1 (2007)
[2] M. H. Szymanska, J. Keeling, and P. B. Littlewood, Phys. Rev. Lett. 96, 230602 (2006).
[3] J. Keeling and N. G. Berloff, Phys. Rev. Lett. 100, 250401 (2008).

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