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Four-level refrigerator driven by photons
Phys. Rev. E 91, 050102(R) – Published 18 May, 2015
DOI: https://doi.org/10.1103/PhysRevE.91.050102
Abstract
We propose a quantum absorption refrigerator driven by photons. The model uses a four-level system as its working substance and couples simultaneously to hot, cold, and solar heat reservoirs. Explicit expressions for the cooling power and coefficient of performance (COP) are derived, with the purpose of revealing and optimizing the performance of the device. Our model runs most efficiently under the tight coupling condition, and it is consistent with the third law of thermodynamics in the limit .
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References (31)
- J. Brantut, C. Grenier, J. Meineke, D. Stadler, S. Krinner, C. Kollath, T. Esslinger, and A. Georges, Science 342, 713 (2013).
- P. J. Lowell, G. C. O'Neil, J. M. Underwood, and J. N. Ullom, Appl. Phys. Lett. 102, 082601 (2013).
- C. Bergenfeldt, P. Samuelsson, B. Sothmann, C. Flindt, and M. Büttiker, Phys. Rev. Lett. 112, 076803 (2014).
- M. Esposito, N. Kumar, K. Lindenberg, and C. Van den Broeck, Phys. Rev. E 85, 031117 (2012); M. Esposito, K. Lindenberg, and C. Van den Broeck, Europhys. Lett. 85, 60010 (2009).
- O. Abah, J. Roßnagel, G. Jacob, S. Deffner, F. Schmidt-Kaler, K. Singer, and E. Lutz, Phys. Rev. Lett. 109, 203006 (2012); J. Roßnagel, O. Abah, F. Schmidt-Kaler, K. Singer, and E. Lutz, ibid. 112, 030602 (2014).
- O. Fialko and D. W. Hallwood, Phys. Rev. Lett. 108, 085303 (2012).
- Y. Yuan, R. Wang, J. Z. He, Y. L. Ma, and J. H. Wang, Phys. Rev. E 90, 052151 (2014).
- R. Wang, J. H. Wang, J. Z. He, and Y. L. Ma, Phys. Rev. E 87, 042119 (2013).
- F. L. Wu, J. Z. He, Y. L. Ma, and J. H. Wang, Phys. Rev. E 90, 062134 (2014); Y. Rezek and R. Kosloff, New J. Phys. 8, 83 (2006); E. Geva and R. Kosloff, J. Chem. Phys. 96, 3054 (1992); 97, 4398 (1992); 102, 8541 (1995).
- M. O. Scully, M. S. Zubairy, G. S. Agarwal, and H. Walther, Science 299, 862 (2003); M. O. Scully, K. R. Chapin, K. E. Dorfman, M. B. Kim, and A. Svidzinsky, Proc. Natl. Acad. Sci. USA 108, 15097 (2011).
- A. Levy, R. Alicki, and R. Kosloff, Phys. Rev. E 85, 061126 (2012).
- U. Harbola, S. Rahav, and S. Mukame, Europhys. Lett. 99, 50005 (2012).
- A. Levy and R. Kosloff, Phys. Rev. Lett. 108, 070604 (2012).
- E. Muñoz and F. J. Peña, Phys. Rev. E 86, 061108 (2012); 89, 052107 (2014).
- Z. Zhuang and S. D. Liang, Phys. Rev. E 90, 052117 (2014).
- X. L. Huang, L. C. Wang, and X. X. Yi, Phys. Rev. E 87, 012144 (2013).
- L. A. Correa, Phys. Rev. E 89, 042128 (2014).
- B. Cleuren, B. Rutten, and C. Van den Broeck, Phys. Rev. Lett. 108, 120603 (2012).
- H. T. Quan, Phys. Rev. E 79, 041129 (2009); H. T. Quan, Y. X. Liu, C. P. Sun, and F. Nori, ibid. 76, 031105 (2007).
- J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics (Springer, New York, 2010).
- C. Li, Y. C. Zhang, J. H. Wang, and J. Z. He, Phys. Rev. E 88, 062120 (2013); B. Rutten, M. Esposito, and B. Cleuren, Phys. Rev. B 80, 235122 (2009).
- J. P. Palao, R. Kosloff, and J. M. Gordon, Phys. Rev. E 64, 056130 (2001); N. Linden, S. Popescu, and P. Skrzypczyk, Phys. Rev. Lett. 105, 130401 (2010).
- L. A. Correa, J. P. Palao, D. Alonso, and G. Adesso, Sci. Rep. 4, 3949 (2014).
- M. Kolář, D. Gelbwaser-Klimovsky, R. Alicki, and G. Kurizki, Phys. Rev. Lett. 109, 090601 (2012).
- A. Levy, R. Alicki, and R. Kosloff, Phys. Rev. Lett. 109, 248901 (2012); B. Cleuren, B. Rutten, and C. Van den Broeck, ibid. 109, 248902 (2012); A. E. Allahverdyan, K. V. Hovhannisyan, and G. Mahler, ibid. 109, 248903 (2012).
- M. Esposito and C. Van den Broeck, Phys. Rev. E 82, 011143 (2010).
- L. A. Correa, J. P. Palao, G. Adesso, and D. Alonso, Phys. Rev. E 87, 042131 (2013).
- Y. Wang, M. Li, Z. C. Tu, A. C. Hernandez, and J. M. M. Roco, Phys. Rev. E 86, 011127 (2012); S. Sheng and Z. C. Tu, ibid. 89, 012129 (2014).
- Y. Hu, F. Wu, Y. L. Ma, J. Z. He, J. H. Wang, A. C. Hernández, and J. M. M. Roco, Phys. Rev. E 88, 062115 (2013).
- C. de Tomas, A. C. Hernandez, and J. M. M. Roco, Phys. Rev. E 85, 010104(R) (2012).
- When interacting with the two-state ( and ) subsystem (cf. Fig. 1), the photon reservoir at constant volume can be taken as a single mode with (resonant) frequency , thereby indicating its partition function, . It follows, using the internal energy and , that the heat capacity when .