Finite-size fluctuations and photon statistics near the polariton condensation transition in a single-mode microcavity

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P. R. Eastham and P. B. Littlewood
Theory of Condensed Matter Group, Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom

Received 31 October 2005; published 6 February 2006

Weconsider polariton condensation in a generalized Dicke model, describing asingle-mode cavity containing quantum dots, and extend our previous mean-fieldtheory to allow for finite-size fluctuations. Within the fluctuation-dominated regimethe correlation functions differ from their (trivial) mean-field values. Weargue that the low-energy physics of the model, which determinesthe photon statistics in this fluctuation-dominated crossover regime, is thatof the (quantum) anharmonic oscillator. The photon statistics at thecrossover are different in the high-temperature and low-temperature limits. Whenthe temperature is high enough for quantum effects to beneglected we recover behavior similar to that of a conventionallaser. At low enough temperatures, however, we find qualitatively differentbehavior due to quantum effects.

URL:	http://link.aps.org/doi/10.1103/PhysRevB.73.085306
DOI:	10.1103/PhysRevB.73.085306
PACS:	71.36.+c; 03.75.Hh; 42.50.Pq 71.36.+c Polaritons including photon–phonon and photon–magnon interactions 03.75.Hh Static properties of Bose-Einstein condensates; thermodynamical, statistical, and structural properties 42.50.Pq Cavity quantum electrodynamics; micromasers YEAR: 2006
KEYWORDS:	semiconductor quantum dots, microcavities, size effect, fluctuations, polaritons, harmonic oscillators

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