2016/01/08 by K. Dunnett, M. H. Szymańska · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Condensation #Condensed matter physics #Field (mathematics) #Gaussian #Mathematics #Non-equilibrium thermodynamics #Observable #Phase transition #Physics #Polariton #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #Thermodynamics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.93.195306
published as PhysRevB.93.195306 2016 · 16 pages, 14 figures
arxiv created 2016/01/08 · openalex publication_date 2016/05/10 · arxiv updated 2016/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a quantum field theory for parametrically pumped polaritons using Keldysh Green's function techniques with which the occupations of the excitation spectra can be calculated. By considering the mean field and Gaussian fluctuations, we find that the highly nonequilibrium phase transition to the optical parametric oscillator regime is in some ways similar to equilibrium condensation. In particular, we show that this phase transition can be associated with an effective chemical potential, at which the system's bosonic distribution function diverges, and an effective temperature for low energy modes. As in equilibrium systems, the transition is achieved by tuning this effective chemical potential to the energy of the lowest normal mode. Since the nonequilibrium occupations of the modes are available, we determine experimentally observable properties such as the luminescence and absorption spectra.