Quantum thermodynamics of driven-dissipative condensates
Abstract: Polariton condensates occur away from thermal equilibrium, in an open system where heat and particles are continually exchanged with reservoirs. These phenomena have been extensively analyzed in terms of kinetic equations. Based on the collection of knowledge about polariton kinetics provided by these simulations and by experimental works, we constructed a few-level model that captures the main processes involved in the buildup of a ground-state population of polaritons. This allows condensation to be understood as the output of a thermal machine and exposes the thermodynamic constraints on its occurrence. The model consists of a three-level system interacting with a field and connected to a hot and a cold thermal reservoir that represent a non-resonant pump and the lattice phonons. This subsystem can drive a condensate, through polariton-polariton scattering, which produces work in the form of coherent light emission from the microcavity. We obtain a phase diagram as a function of the temperatures of the two baths and investigate the possible types of phase transition that lead to the condensate phase.
- J. Keeling and S. Kéna-Cohen, “Bose–Einstein Condensation of Exciton-Polaritons in Organic Microcavities,” Annu. Rev. Phys. Chem. 71, 435–459 (2020).
- H. Deng, H. Haug, and Y. Yamamoto, “Exciton-polariton Bose-Einstein condensation,” Rev. Mod. Phys. 82, 1489–1537 (2010).
- J. Klaers, J. Schmitt, F. Vewinger, and M. Weitz, “Bose–Einstein condensation of photons in an optical microcavity,” Nature 468, 545–548 (2010).
- P. Kirton and J. Keeling, “Nonequilibrium Model of Photon Condensation,” Phys. Rev. Lett. 111, 100404 (2013).
- T. K. Hakala, A. J. Moilanen, A. I. Väkeväinen, R. Guo, J.-P. Martikainen, K. S. Daskalakis, H. T. Rekola, A. Julku, and P. Törmä, “Bose–Einstein condensation in a plasmonic lattice,” Nature Phys 14, 739–744 (2018).
- S. O. Demokritov, V. E. Demidov, O. Dzyapko, G. A. Melkov, A. A. Serga, B. Hillebrands, and A. N. Slavin, “Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping,” Nature 443, 430–433 (2006).
- H. E. D. Scovil and E. O. Schulz-DuBois, “Three-Level Masers as Heat Engines,” Phys. Rev. Lett. 2, 262–263 (1959).
- J. E. Geusic, E. O. Schulz-DuBios, and H. E. D. Scovil, “Quantum Equivalent of the Carnot Cycle,” Phys. Rev. 156, 343–351 (1967).
- R. Kosloff, “A quantum mechanical open system as a model of a heat engine,” The Journal of Chemical Physics 80, 1625–1631 (1984).
- E. Geva and R. Kosloff, “Three-level quantum amplifier as a heat engine: A study in finite-time thermodynamics,” Phys. Rev. E 49, 3903–3918 (1994).
- E. Geva and R. Kosloff, “The quantum heat engine and heat pump: An irreversible thermodynamic analysis of the three-level amplifier,” The Journal of Chemical Physics 104, 7681–7699 (1996).
- M. T. Mitchison, “Quantum thermal absorption machines: Refrigerators, engines and clocks,” Contemporary Physics 60, 164–187 (2019), arxiv:1902.02672 .
- A. Imamog¯lu, R. J. Ram, S. Pau, and Y. Yamamoto, “Nonequilibrium condensates and lasers without inversion: Exciton-polariton lasers,” Phys. Rev. A 53, 4250–4253 (1996).
- J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymańska, R. André, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and L. S. Dang, “Bose–Einstein condensation of exciton polaritons,” Nature 443, 409–414 (2006).
- R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, “Bose-Einstein Condensation of Microcavity Polaritons in a Trap,” Science 316, 1007–1010 (2007).
- A. Kavokin and G. Malpuech, Cavity Polaritons, 1st ed., Thin Films and Nanostructures No. 32 (Elsevier, Acad. Press, Amsterdam, 2003).
- A. Kavokin, ed., Microcavities, second edition ed., Series on Semiconductor Science and Technology No. 16 (Oxford University Press, Oxford ; New York, NY, 2017).
- I. Carusotto and C. Ciuti, “Quantum fluids of light,” Rev. Mod. Phys. 85, 299–366 (2013).
- H. T. Cao, T. D. Doan, D. B. Tran Thoai, and H. Haug, “Condensation kinetics of cavity polaritons interacting with a thermal phonon bath,” Phys. Rev. B 69, 245325 (2004).
- T. D. Doan, H. T. Cao, D. B. Tran Thoai, and H. Haug, “Condensation kinetics of microcavity polaritons with scattering by phonons and polaritons,” Phys. Rev. B 72, 085301 (2005).
- F. Tassone and Y. Yamamoto, “Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons,” Phys. Rev. B 59, 10830–10842 (1999).
- C. Piermarocchi, F. Tassone, V. Savona, A. Quattropani, and P. Schwendimann, “Nonequilibrium dynamics of free quantum-well excitons in time-resolved photoluminescence,” Phys. Rev. B 53, 15834–15841 (1996).
- V. E. Hartwell and D. W. Snoke, “Numerical simulations of the polariton kinetic energy distribution in GaAs quantum-well microcavity structures,” Phys. Rev. B 82, 075307 (2010).
- G. Malpuech, A. Kavokin, A. Di Carlo, and J. J. Baumberg, “Polariton lasing by exciton-electron scattering in semiconductor microcavities,” Phys. Rev. B 65, 153310 (2002).
- D. Porras, C. Ciuti, J. J. Baumberg, and C. Tejedor, “Polariton dynamics and Bose-Einstein condensation in semiconductor microcavities,” Phys. Rev. B 66, 085304 (2002), arxiv:cond-mat/0206276 .
- F. Tassone, C. Piermarocchi, V. Savona, A. Quattropani, and P. Schwendimann, “Bottleneck effects in the relaxation and photoluminescence of microcavity polaritons,” Phys. Rev. B 56, 7554–7563 (1997).
- J. J. Baumberg, P. G. Savvidis, P. Lagoudakis, M. Martin, D. Whittaker, R. Butte, M. Skolnick, and J. Roberts, “Polariton traps in semiconductor microcavities,” Physica E: Low-dimensional Systems and Nanostructures 13, 385–389 (2002).
- N. Linden, S. Popescu, and P. Skrzypczyk, ‘‘How Small Can Thermal Machines Be? The Smallest Possible Refrigerator,” Phys. Rev. Lett. 105, 130401 (2010).
- M. Esposito, U. Harbola, and S. Mukamel, “Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems,” Rev. Mod. Phys. 81, 1665–1702 (2009).
- S. Gasparinetti, P. Solinas, A. Braggio, and M. Sassetti, “Heat-exchange statistics in driven open quantum systems,” New J. Phys. 16, 115001 (2014), arxiv:1404.3507 .
- S.-W. Li, M. B. Kim, G. S. Agarwal, and M. O. Scully, “Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine,” Phys. Rev. A 96, 063806 (2017), arxiv:1710.00902 [quant-ph] .
- E. Busley, L. Espert Miranda, C. Kurtscheid, F. Wolf, F. Vewinger, J. Schmitt, and M. Weitz, “Sunlight-pumped two-dimensional thermalized photon gas,” Phys. Rev. A 107, 052204 (2023).
- S. Klembt, E. Durupt, S. Datta, T. Klein, A. Baas, Y. Léger, C. Kruse, D. Hommel, A. Minguzzi, and M. Richard, “Exciton-Polariton Gas as a Nonequilibrium Coolant,” Phys. Rev. Lett. 114, 186403 (2015).
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