Abstract
Some of the oldest and most important applications of thermodynamics are operations of refrigeration as well as production of useful energy. Part of the efforts to understand and develop thermodynamics in the quantum regime have been focusing on harnessing quantum effects to such operations. In this review, we present the recent developments regarding the role of quantum coherences in the performances of thermal machines—the devices realising the above thermodynamic operations. While this is known to be an intricate subject, in part because being largely model-dependent, the review of the recent results allows us to identify some general tendencies and to suggest some future directions.
Similar content being viewed by others
References
S. Carnot, Réflections Sur La Puissance Motrice Du Feu et Sur Les Machines Propres à Développer Cette Puissance (Bachelier, Paris, 1824)
H.E.D. Scovil, E.O. Schulz-DuBois, Phys. Rev. Lett. 2, 262 (1959)
J. Geusic, E.O. Schulz-Du Bois, H.E.D. Scovil, Phys. Rev. 156, 343 (1967)
A. Levy, D. Gelbwaser-Klimovsky, Quantum Features and Signatures of Quantum Thermal Machines, in Thermodynamics in the Quantum Regime Fundamental Theories of Physics, vol. 195, ed. by F. Binder, L. Correa, C. Gogolin, J. Anders, G. Adesso (Springer, Cham, 2018)
H..T. Quan, Yu.-xi Liu, C..P. Sun, Franco Nori, Phys. Rev. E 76, 031105 (2007)
R. Kosloff, A. Levy, Annu. Rev. Phys. Chem. 65, 365–93 (2014)
Mark T. Mitchison, Contemp. Phys. 60, 164 (2019)
D. Gelbwaser-Klimovsky, G. Kurizki, Phys. Rev. E 90, 022102 (2014)
X..L. Huang, Tao Wang, X..X. Yi, Phys. Rev. E 86, 051105 (2012)
O. Abah, E. Lutz, Eur. Phys. 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)
W. Niedenzu, D. Gelbwaser-Klimovsky, A.G. Kofman, G. Kurizki, New J. Phys. 18, 083012 (2016)
W. Niedenzu, V. Mukherjee, A. Ghosh, A.G. Kofman, G. Kurizki, Nat. Commun. 9, 165 (2018)
B. Xiao, R. Li, Phys. Lett. A 382, 3051–3057 (2018)
R. Alicki, D. Gelbwaser-Klimovsky, New J. Phys. 17, 115012 (2015)
B. Kumar Agarwalla, J..H. Jiang, D. Segal, Phys. Rev. B 96, 104304 (2017)
A. Ferraro, S. Olivares, M. Paris, Gaussian States in Quantum Information (Bibliopolis, Napoli, 2005).
F. Curzon, B. Ahlborn, Am. J. Phys. 43, 22–24 (1975)
J. Klaers, S. Faelt, A. Imamoglu, E. Togan, Phys. Rev. X 7, 031044 (2017)
C.L. Latune, I. Sinayskiy, F. Petruccione, Sci. Rep. 9, 3191 (2019)
R. Alicki, arXiv:1401.7865. (2014)
C.L. Latune, I. Sinayskiy, F. Petruccione, Quantum Sci. Technol. 4, 025005 (2019)
C.L. Latune, I. Sinayskiy, F. Petruccione, Phys. Rev. Res. 1, 033097 (2019)
H. Breuer, F. Petruccione, Theory of Open Quantum Systems (Oxford Publication, Oxford, 2002).
L.A. Correa, J.P. Palao, D. Alonso, G. Adesso, Sci. Rep. 4, 3949 (2014)
C.B. Dağ, W. Niedenzu, Ö.E. Müstecaplıoǧlu, G. Kurizki, Entropy 18, 244 (2016)
F.L.S. Rodrigues, G. De Chiara, M. Paternostro, G.T. Landi, Phys. Rev. Lett. 123, 140601 (2019)
M.O. Scully, M.S. Zubairy, G.S. Agarwal, H. Walther, Science 299, 862 (2003)
D. Türkpençe, Ö.E. Müstecaplıoǧlu, Phys. Rev. E 93, 012145 (2016)
T. Guff, S. Daryanoosh, B.Q. Baragiola, A. Gilchrist, Phys. Rev. E 100, 032129 (2019)
R. Dillenschneider, E. Lutz, EPL 8, 50003 (2009)
S. De Liberato, M. Ueda, Phys. Rev. E 84, 051122 (2011)
H. Li, J. Zou, W.-L. Yu et al., Phys. Rev. E 89, 052132 (2014)
P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986)
G.J. Milburn, Phys. Rev. A 36, 744 (1987)
R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications (Lecture Notes in Physics), vol. 717 (Springer, Berlin, 1987).
D..G. Klimovsky, W. Niedenzu, P. Brumer, G. Kurizki, Sci. Rep. 5, 14413 (2015)
P. Doyeux, B. Leggio, R. Messina, M. Antezza, Phys. Rev. E 93, 022134 (2016)
G. Watanabe, B.P. Venkatesh, P. Talkner, A. del Campo, Phys. Rev. Lett. 118, 050601 (2017)
G. Watanabe, B.P. Venkatesh, P. Talkner, M.-J. Hwang, A. del Campo, Phys. Rev. Lett. 124, 210603 (2020)
S. Teufel, Adiabatic Perturbation Theory in Quantum Dynamics (Springer, Berlin, 2003).
A.E. Allahverdyan, Th.M. Nieuwenhuizen, Phys. Rev. E 71, 046107 (2005)
T. Albash, S. Boixo, D.A. Lidar, P. Zanardi, New J. Phys. 14, 123016 (2012)
F. Plastina, A. Alecce, T.J.G. Apollaro et al., Phys. Rev. Lett. 113, 260601 (2014)
K. Korzekwa, M. Lostaglio, J. Oppenheim, D. Jennings, New J. Phys. 18, 023045 (2016)
C.L. Latune, I. Sinayskiy, F. Petruccione, Phys. Rev. A 102, 042220 (2020)
R. Kosloff, T. Feldmann, Phys. Rev. E 65, 055102(R) (2002)
T. Feldmann, R. Kosloff, Phys. Rev. E 68, 016101 (2003)
T. Feldmann, R. Kosloff, Phys. Rev. E 70, 046110 (2004)
K. Brandner, U. Seifert, Phys. Rev. E 93, 062134 (2016)
K. Brandner, M. Bauer, U. Seifert, Phys. Rev. Lett. 119, 170602 (2017)
K. Brandner, K. Saito, Phys. Rev. Lett. 124, 040602 (2020)
T. Feldmann, R. Kosloff, Phys. Rev. E 73, 025107(R) (2006)
M.V. Berry, J. Phys. A 42, 365303 (2009)
X. Chen, A. Ruschhaupt, S. Schmidt et al., Phys. Rev. Lett. 104, 063002 (2010)
S. Deng, A. Chenu, P. Diao et al., Sci. Adv. 4, eaar5909 (2018)
A. del Campo, J. Goold, M. Paternostro, Sci. Rep. 4, 6208 (2014)
J. Deng, Q.-H. Wang, Z. Liu, P. Hänggi, J. Gong, Phys. Rev. E 88, 062122 (2013)
M. Beau, J. Jaramillo, A. del Campo, Entropy 18, 168 (2016)
O. Abah, M. Paternostro, Phys. Rev. E 99, 022110 (2019)
A. Hartmann, V. Mukherjee, W. Niedenzu, W. Lechner, Phys. Rev. R 2, 023145 (2020)
R. Dann, R. Kosloff, New J. Phys. 22, 013055 (2020)
S. Campbell, S. Deffner, Phys. Rev. Lett. 118, 100601 (2017)
O. Abah, R. Puebla, A. Kiely, G. De Chiara, M. Paternostro, S. Campbell, New J. Phys. 21, 103048 (2019)
O. Abah, E. Lutz, Phys. Rev. E 98, 032121 (2018)
O. Abah, M. Paternostro, E. Lutz, Phys. Rev. Res. 2, 023120 (2020)
R. Uzdin, Phys. Rev. Appl. 6, 024004 (2016)
T. Feldmann, R. Kosloff, Phys. Rev. E 85, 051114 (2012)
P.A. Camati, J.F.G. Santos, R.M. Serra, Phys. Rev. A 99, 062103 (2019)
F. Altintas, A.Ü.C. Hardal, Ö.E. Müstecaplıoǧlu, Phys. Rev. A 91, 023816 (2015)
R. Uzdin, A. Levy, R. Kosloff, Phys. Rev. X 5, 031044 (2015)
J. Klatzow, J.N. Becker, P.M. Ledingham et al., Phys. Rev. Lett. 122, 110601 (2019)
M.O. Scully, K.R. Chapin, K.E. Dorfman, M.B. Kim, A. Svidzinsky, Proc. Natl. Acad. Sci. USA 108(37), 15097 (2011)
A.A. Svidzinsky, K.E. Dorfman, M.O. Scully, Coherent Opt. Phenom. 1, 7 (2012)
M. Kloc, P. Cejnar, G. Schaller, Phys. Rev. E 100, 042126 (2019)
C.L. Latune, I. Sinayskiy, F. Petruccione, New J. Phys. 22, 083049 (2020)
M. Gross, S. Haroche, Phys. Rep. 93, 301–396 (1982)
C.L. Latune, I. Sinayskiy, F. Petruccione, Phys. Rev. Res. 1, 033192 (2019)
C.L. Latune, I. Sinayskiy, F. Petruccione, Phys. Rev. A 99, 052105 (2019)
M.S. Kim, J. Lee, D. Ahn, P.L. Knight, Phys. Rev. A 65, 040101 (2002)
M.B. Plenio, S.F. Huelga, Phys. Rev. Lett. 88, 197901 (2002)
F. Benatti, R. Floreanini, M. Piani, Phys. Rev. Lett. 91, 070402 (2003)
W. Niedenzu, G. Kurizki, New J. Phys. 20, 113038 (2018)
V. Holubec, T. Novotný, J. Low Temp. Phys. 192, 147 (2018)
V. Holubec, T. Novotný, J. Chem. Phys. 151, 044108 (2019)
W. Niedenzu, D. Gelbwaser-Klimovsky, G. Kurizki, Phys. Rev. E 92, 042123 (2015)
D. Gelbwaser-Klimovsky, W. Niedenzu, G. Kurizki, Adv. At. Mol. Opt. Phys. 64, 329 (2015)
G. Manzano, G.-L. Giorgi, R. Fazio, R. Zambrini, New J. Phys. 21, 123026 (2019)
M. Kilgour, D. Segal, Phys. Rev. E 98, 012117 (2018)
S. Rahav, U. Harbola, S. Mukamel, Phys. Rev. A 86, 043843 (2012)
H.P. Goswami, U. Harbola, Phys. Rev. A 88, 013842 (2013)
K.E. Dorfman, D. Xu, J. Cao, Phys. Rev. E 97, 042120 (2018)
J.-Y. Du, F.-L. Zhang, New J. Phys. 20, 063005 (2018)
M.T. Mitchison, M.P. Woods, J. Prior, M. Huber, New J. Phys. 17, 115013 (2015)
S. Nimmrichter, J. Dai, A. Roulet, V. Scarani, Quantum 1, 37 (2017)
D. Newman, F. Mintert, A. Nazir, Phys. Rev. E 101, 052129 (2020)
D. Newman, F. Mintert, A. Nazir, Phys. Rev. E 95, 032139 (2017)
J.O. González, J.P. Palao, D. Alonso, L.A. Correa, Phys. Rev. E 99, 062102 (2019)
Acknowledgements
This work is based on research supported by the South African Research Chair Initiative, Grant No. UID 64812 of the Department of Science and Technology of the Republic of South Africa and National Research Foundation of the Republic of South Africa.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Latune, C.L., Sinayskiy, I. & Petruccione, F. Roles of quantum coherences in thermal machines. Eur. Phys. J. Spec. Top. 230, 841–850 (2021). https://doi.org/10.1140/epjs/s11734-021-00085-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjs/s11734-021-00085-1