Abstract
Interesting effects arise in cyclic machines where both heat and ergotropy transfer take place between the energising bath and the system (the working fluid). Such effects correspond to unconventional decompositions of energy exchange between the bath and the system into heat and work, respectively, resulting in efficiency bounds that may surpass the Carnot efficiency. However, these effects are not directly linked with quantumness, but rather with heat and ergotropy, the likes of which can be realised without resorting to quantum mechanics.
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H.E.D. Scovil, E.O. Schulz-DuBois, Phys. Rev. Lett. 2, 262 (1959)
W. Pusz, S.L. Woronowicz, Commun. Math. Phys. 58, 273 (1978)
A. Lenard, J. Stat. Phys. 19, 575 (1978)
R. Alicki, J. Phys. A 12, L103 (1979)
R. Kosloff, J. Chem. Phys. 80, 1625 (1984)
M.O. Scully, M.S. Zubairy, G.S. Agarwal, H. Walther, Science 299, 862 (2003)
A.E. Allahverdyan, R. Balian, T.M. Nieuwenhuizen, Europhys. Lett. 67, 565 (2004)
N. Erez, G. Gordon, M. Nest, G. Kurizki, Nature 452, 724 (2008)
L. Del Rio, J. Aberg, R. Renner, O. Dahlsten, V. Vedral, Nature 474, 61 (2011)
M. Horodecki, J. Oppenheim, Nat. Commun. 4, 2059 (2013)
L.A. Correa, J.P. Palao, D. Alonso, G. Adesso, Sci. Rep. 4, 3949 (2014)
P. Skrzypczyk, A.J. Short, S. Popescu, Nat. Commun. 5, 4185 (2014)
F. Brandão, M. Horodecki, N. Ng, J. Oppenheim, S. Wehner, Proc. Natl. Acad. Sci. USA 112, 3275 (2015)
J.P. Pekola, Nat. Phys. 11, 118 (2015)
R. Uzdin, A. Levy, R. Koslo, Phys. Rev. X 5, 031044 (2015)
M. Campisi, R. Fazio, Nat. Commun. 7, 11895 (2016)
J. Roßnagel, S.T. Dawkins, K.N. Tolazzi, O. Abah, E. Lutz, F. Schmidt-Kaler, K. Singer, Science 352, 325 (2016)
R. Kosloff, Entropy 15, 2100 (2013)
D. Gelbwaser-Klimovsky, W. Niedenzu, G. Kurizki, Adv. At. Mol. Opt. Phys. 64, 329 (2015)
J. Goold, M. Huber, A. Riera, L. del Rio, P. Skrzypczyk, J. Phys. A 49, 143001 (2016)
S. Vinjanampathy, J. Anders, Contemp. Phys. 57, 1 (2016)
R. Kosloff, Y. Rezek, Entropy 19, 136 (2017)
D. Gelbwaser-Klimovsky, R. Alicki, G. Kurizki, Phys. Rev. E 87, 012140 (2013)
D. Gelbwaser-Klimovsky, R. Alicki, G. Kurizki, Europhys. Lett. 103, 60005 (2013)
D. Gelbwaser-Klimovsky, G. Kurizki, Phys. Rev. E 90, 022102 (2014)
W. Niedenzu, D. Gelbwaser-Klimovsky, A.G. Kofman, G. Kurizki, New J. Phys. 18, 083012 (2016)
C.B. Dağ, W. Niedenzu, O.E. Müstecapl"i"oğlu, G. Kurizki, Entropy 18, 244 (2016)
V. Mukherjee, W. Niedenzu, A.G. Kofman, G. Kurizki, Phys. Rev. E 94, 062109 (2016)
A. Ghosh, C.L. Latune, L. Davidovich, G. Kurizki, Proc. Natl. Acad. Sci. U.S.A. 114, 12156 (2017)
A. Ghosh, D. Gelbwaser-Klimovsky, W. Niedenzu, A.I. Lvovsky, I. Mazets, M.O. Scully, G. Kurizki, Proc. Natl. Acad. Sci. U.S.A. 115, 9941 (2018)
W. Niedenzu, V. Mukherjee, A. Ghosh, A.G. Kofman, G. Kurizki, Nat. Commun. 9, 165 (2018)
A. Ghosh, W. Niedenzu, V. Mukherjee, G. Kurizki, in Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, edited by F. Binder, L. Correa, C. Gogolin, J. Anders, G. Adesso (Springer International Publishing, 2019), pp. 1–30
A. del Campo, J. Goold, M. Paternostro, Sci. Rep. 4, 6208 (2014)
M. Kolar, D. Gelbwaser-Klimovsky, R. Alicki, G. Kurizki, Phys. Rev. Lett. 109, 090601 (2012)
R. Dillenschneider, E. Lutz, Europhys. Lett. 88, 50003 (2009)
X.L. Huang, T. Wang, X.X. Yi, Phys. Rev. E 86, 051105 (2012)
O. Abah, E. Lutz, Europhys. Lett. 106, 20001 (2014)
J. Roßnagel, O. Abah, F. Schmidt-Kaler, K. Singer, E. Lutz, Phys. Rev. Lett. 112, 030602 (2014)
G. Manzano, F. Galve, R. Zambrini, J.M.R. Parrondo, Phys. Rev. E 93, 052120 (2016)
A.Ü.C. Hardal, O.E. Müstecapl"i"oğlu, Sci. Rep. 5, 12953 (2015)
J. Klaers, S. Faelt, A. Imamoglu, E. Togan, Phys. Rev. X 7, 031044 (2017)
B.K. Agarwalla, J.-H. Jiang, D. Segal, Phys. Rev. B 96, 104304 (2017)
S. Carnot, Réflexions sur la puissance motrice du feu et sur les machines propres à développer cette puissance (Bachelier, Paris, 1824)
P. Talkner, P. Hänggi, Phys. Rev. E 93, 022131 (2016)
E. Bäumer, M. Lostaglio, M. Perarnau-Llobet, R. Sampaio, Fluctuating work in coherentquantum systems: proposals and limitations, https://doi.org/arXiv:1805.10096 (2018)
P. Talkner, E. Lutz, P. Hänggi, Phys. Rev. E 75, 050102 (2007)
P. Hänggi, P. Talkner, Nat. Phys. 11, 108 (2015)
M. Campisi, P. Hänggi, P. Talkner, Rev. Mod. Phys. 83, 771 (2011)
M. Campisi, P. Hänggi, P. Talkner, Rev. Mod. Phys. 83, 1653 (2011)
M. Campisi, P. Talkner, P. Hänggi, Phys. Rev. Lett. 102, 210401 (2009)
M. Perarnau-Llobet, E. Bäumer, K.V. Hovhannisyan, M. Huber, A. Acin, Phys. Rev. Lett. 118, 070601 (2017)
V. Chernyak, S. Mukamel, Phys. Rev. Lett. 93, 048302 (2004)
A.E. Allahverdyan, T.M. Nieuwenhuizen, Phys. Rev. E 71, 066102 (2005)
M.F. Gelin, D.S. Kosov, Phys. Rev. E 78, 011116 (2008)
H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2002)
B.P. Venkatesh, G. Watanabe, P. Talkner, New J. Phys. 17, 075018 (2015)
H. Spohn, J. Math. Phys. 19, 1227 (1978)
F. Binder, L. Correa, C. Gogolin, J. Anders, G. Adesso, Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, Fundamental Theories of Physics (Springer International Publishing, 2019)
R. Clausius, Die mechanische Wärmetheorie, Erster Band, 3rd edn. (Friedrich Vieweg und Sohn, Braunschweig, 1887)
H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd edn. (John Wiley & Sons, Inc., New York, 1985)
M.S. Kim, F.A.M. de Oliveira, P.L. Knight, Phys. Rev. A 40, 2494 (1989)
W. Niedenzu, G. Kurizki, New J. Phys. 20, 113038 (2018)
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Ghosh, A., Mukherjee, V., Niedenzu, W. et al. Are quantum thermodynamic machines better than their classical counterparts?. Eur. Phys. J. Spec. Top. 227, 2043–2051 (2019). https://doi.org/10.1140/epjst/e2019-800060-7
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DOI: https://doi.org/10.1140/epjst/e2019-800060-7