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

2005/11/30 by P. R. Eastham, P. B. Littlewood · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Anharmonicity #Condensed matter physics #Crossover #Field (mathematics) #Mathematics #Photon #Physics #Polariton #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum statistical mechanics #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.73.085306

published as Phys. Rev. B 73, 085306 (2006) · 12 pages, 5 figures. v2: Revised version with minor corrections (typos, added reference, correction in argument following Eq. 25). v3: further typos corrected

openalex publication_date 2006/02/06 · arxiv created 2006/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider polariton condensation in a generalized Dicke model, describing a single-mode cavity containing quantum dots, and extend our previous mean-field theory to allow for finite-size fluctuations. Within the fluctuation-dominated regime the correlation functions differ from their (trivial) mean-field values. We argue that the low-energy physics of the model, which determines the photon statistics in this fluctuation-dominated crossover regime, is that of the (quantum) anharmonic oscillator. The photon statistics at the crossover are different in the high-temperature and low-temperature limits. When the temperature is high enough for quantum effects to be neglected we recover behavior similar to that of a conventional laser. At low enough temperatures, however, we find qualitatively different behavior due to quantum effects.

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