Abstract
We study the influences of quantum coherence on the positive work and the efficiency of quantum heat engine (QHE) based on working substance of two-qubit Heisenberg model under a constant external magnetic field. By using analytical and numerical solution, we give the relation expressions for both the positive work and the efficiency with quantum coherence, and in detail discuss the effects of the quantum coherence on the positive work and the efficiency of QHE in the absence or presence of external magnetic field, respectively.
Similar content being viewed by others
References
Scully, M.O.: Phys. Rev. Lett. 87, 220601 (2001)
Quan, H.T., Yang, S., Sun, C.P.: Phys. Rev. E 78(02), 2008 (1116)
Quan, H.T.: Phys. Rev. E 79, 041129 (2009)
Wang, J.H., He, J.Z., He, X.: Phys. Rev. E 84, 041127 (2011)
Wang, J.H., He, J.Z., Wu, Z.Q.: Phys. Rev. E 85, 031145 (2012)
Wang, J.H., Wu, Z.Q., He, J.Z.: Phys. Rev. E 85, 041148 (2012)
Wang, J.H., He, J.Z.: J. Appl. Phys. 111, 043505 (2012)
Li, S., Wang, H., Sun, Y.D., Yi, X.X.: J. Phys. A 40, 8655 (2007)
Fialko, O., Hallwood, D.W.: Phys. Rev. Lett. 108, 085303 (2012)
Scovil, H.E.D., Schulz-dubois, E.O.: Phys. Rev. Lett. 2, 262 (1959)
Kieu, T.D.: Phys. Rev. Lett. 93, 140403 (2004)
Scully, M.O., Zubairy, M.S., Agarwal, G.S., Walther, H.: Science 299, 862 (2003)
He, J.Z., Chen, J.C., Hua, B.: Phys. Rev. E 65, 036145 (2002)
Wu, F., Chen, L.G., Sun, F., Wu, C., Li, Q.: Phys. Rev. E 73, 016103 (2006)
Feldmann, T., Kosloff, R.: Phys. Rev. E 61, 4774 (2000)
Feldmann, T., Kosloff, R.: Phys. Rev. E 68, 016101 (2003)
Feldmann, T., Kosloff, R.: Phys. Rev. E 70, 046110 (2004)
Wu, F., Chen, L., Wu, S., Sun, F.R., Wu, C.: J. Chem. Phys. 124, 214702 (2006)
Wang, J.H., He, J.Z., Xin, Y.: Phys. Scr. 75, 227 (2007)
Wu, F., Chen, L.G., Wu, S., Sun, F.R.: J. Phys. D: Appl. Phys. 39, 4731 (2006)
He, J.Z., Xin, Y., He, X.: Appl. Energy 84, 176 (2007)
Feldmann, T., Kosloff, R.: Phys. Rev. E 61, 4774 (2000)
Wu, F., He, J., Ma, Y., Wang, J.: Phys. Rev. E 90, 062134 (2014)
Chen, J., Lin, B., Hua, B.: J. Phys. D: Appl. Phys. 35, 2051 (2002)
Geva, E., Kosloff, R.: J. Chem. Phys. 97, 4398 (1992)
Lin, B.H., Chen, J.C.: Phys. Rev. E 67, 046105 (2003)
Lin, B.H., Chen, J.C.: Phys. Scr. 71, 12 (2005)
Wang, J.H., He, J.Z., Mao, Z.Y.: Sci. Chin. Series G: Phys Mech. Astro. 50, 163 (2007)
He, J., He, X., Tang, W.: Sci. Chin. Series G: Phys. Mech. Astro. 52, 1317 (2009)
Rezek, Y., Kosloff, R.: New J. Phys. 8, 1 (2006)
Quan, H.T., Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev.E 76, 031105 (2007)
Scully, M.O.: Phys. Rev. Lett. 87, 220601 (2001)
Bender, C., Brody, D.C., Meister, B.K.: J. Phys. A: Math. Gen. 33, 4427 (2000)
Quan, H.T., Zhang, P., Sun, C.P.: Phys. Rev. E 72, 056110 (2005)
Scully, M.O.: Phys. Rev. Lett. 88, 050602 (2002)
Wang, J., Ma, Y., He, J.: EPL 111, 20006 (2015)
Quan, H., Zhang, P., Sun, C.P.: Phys. Rev.E 73, 036122 (2006)
Scully, M.O., Zubairy, M.S., Agarwal, G.S., Walther, H.: Science 299, 862 (2003)
Zhang, T., Liu, W., Chen, P.X., Li, C.Z.: Phys. Rev.A 75, 062102 (2007)
He, J.Z., He, X., Zhang, J.: Chin. Phys. B 21, 050303 (2012)
Altintas-Ferdi, H., Ali, Ü.C., Müstecaplıog~lu, Ö.E.: Phys. Rev. E 90, 032102 (2011)
Bartlett, S.D., Rudolph, T., Spekkens, R.W.: Rev. Mod. Phys. 79, 555 (2007)
Marvian, I., Spekkens, R.W.: New J.Phys. 15, 033001 (2013)
Marvian, I., Spekkens, R.W.: Phys. Rev. A 90, 062110 (2014)
Lloyd, S.J.: Phys. Conf. Ser. 302, 012037 (2011)
Li, C., Lambert, N., Chen, Y.N., Chen, G.Y., Nori, F., Wolf, E.: Sci. Rep. 2, 885 (2012)
Lambert, N., Chen, Y.N., Chen, Y.C., Li, C.M., Chen, G.Y., Nori, F.: Nat. Phys. 9, 10 (2013)
Narasimhachar, V., Gour, G.: Nat. Commum. 6, 7689 (2015)
Åberg, J.: Phys. Rev. Lett. 113, 150402 (2014)
Ćwikliński, P., Studziński, M., Horodecki, M., Oppenheim, J.: Phys. Rev. Lett. 115, 210403 (2015)
Baumgratz, T., Cramer, M., Plenio, M.B.: Phys. Rev. Lett. 113, 140401 (2014)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant No. 11374096), Hunan Provincial Innovation Foundation for Postgraduate (CX2017B177) and the Scientific Research Project of Hunan Provincial Education Department, China(Grant No. 16C0949).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peng, HP., Fang, MF., Yu, M. et al. The Influences of Quantum Coherence on the Positive Work and the Efficiency of Quantum Heat Engine with Working Substance of Two-Qubit Heisenberg XXX Model. Int J Theor Phys 57, 1872–1880 (2018). https://doi.org/10.1007/s10773-018-3712-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3712-8