Skip to main content

Advertisement

SpringerLink
Log in

Quantum Transfer Energy and Nonlocal Correlation in a Dimer with Time-Dependent Coupling Effect

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The presence of coherence phenomenon due to the interference of probability amplitude terms, is one of the most important features of quantum mechanics theory. Recent experiments show the presence of quantum processes whose coherence provided over suddenly large interval-time. In particular, photosynthetic mechanisms in light-harvesting complexes provide oscillatory behaviors in quantum mechanics due to quantum coherence. In this work, we investigate the coherent quantum transfer energy for a single-excitation and nonlocal correlation in a dimer system modelled by a two-level atom system with and without time-dependent coupling effect. We analyze and explore the required conditions that are feasible with real experimental realization for optimal transfer of quantum energy and generation of nonlocal quantum correlation. We show that the enhancement of the probability for a single-excitation transfer energy is greatly benefits from the combination of the energy detuning and time-dependent coupling effect. We investigate the presence of quantum correlations in the dimer using the entanglement of formation. We also find that the entanglement between the donor and acceptor is very sensitive to the physical parameters and it can be generated during the coherent energy transfer. On the other hand, we study the dynamical behavior of the quantum variance when performing a measurement on an observable of the density matrix operator. Finally, an interesting relationship between the transfer probability, entanglement and quantum variance is explored during the time evolution in terms of the physical parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Sarovar, M., Ishizaki, A., Fleming, G.R., Whaley, K.B.: Nat. Phys. 6, 462 (2010)

    Article  Google Scholar 

  2. Engel, G.S., Calhoun, T.R., Read, E.L., Ahn, T.-K, Mancal, T., Cheng, Y.-C., Blankenship, R.E., Fleming, G.R.: Nature 446, 782 (2007)

    Article  ADS  Google Scholar 

  3. Lee, H., Cheng, Y.-C., Fleming, G.R.: Science 316, 1462 (2007)

    Article  ADS  Google Scholar 

  4. Collini, E., Wong, C., Wilk, K., Curmi, P., Brumer, P., Scholes, G.: Nature 463, 644 (2010)

    Article  ADS  Google Scholar 

  5. Rebentrost, P., Mohseni, M., Aspuru-Guzik, A.: J. Phys. Chem. B 113, 9942 (2009)

    Article  Google Scholar 

  6. Panitchayangkoon, G., Hayes, D., Fransted, K., Caram, J., Harel, E., Wen, J., Blankenship, R., Engel, G.: Proc. Natl. Acad. Sci. USA 107, 12766 (2010)

    Article  ADS  Google Scholar 

  7. Liao, J.-Q., Huang, J.-F., Kuang, L.-M., Sun, C.P.: Phys. Rev. A 82, 052109 (2010)

    Article  ADS  Google Scholar 

  8. Richards, G.H., Wilk, K.E., Curmi, P.M.G., Quiney, H.M., Davis, J.A.: J. Phys. Chem. Lett. 3, 272 (2012)

    Article  Google Scholar 

  9. Calhoun, T., Ginsberg, N., Schlau-Cohen, G., Cheng, Y.-C., Ballottari, M., Bassi, R., Fleming, G.: J. Phys. Chem. B 113, 16291 (2009)

    Article  Google Scholar 

  10. Ishizaki, A., Calhoun, T., Schlau-Cohen, G., Fleming, G.: Phys. Chem. Chem. Phys. 12, 7319 (2010)

    Article  Google Scholar 

  11. Scholak, T., de Melo, F., Wellens, T., Mintert, F., Buchleitner, A.: Phys. Rev. E 83, 021912 (2011)

  12. Olaya-Castro, A., Lee, C.F., Olsen, F.F., Johnson, N.F.: Phys. Rev. B 78, 085115 (2008)

    Article  ADS  Google Scholar 

  13. Liang, X.T., Zhang, W.M., Zhuo, Y.Z.: Phys. Rev. E 81, 011906 (2010)

    Article  ADS  Google Scholar 

  14. Plenio, M., Huelga, S.: New J. Phys. 10, 113019 (2008)

    Article  ADS  Google Scholar 

  15. Ishizaki, A., Fleming, G.R.: Annu. Rev. Condens. Matter Phys. 3, 333 (2012)

    Article  Google Scholar 

  16. Ishizaki, A., Fleming, G.: New J. Phys. 12, 055004 (2010)

    Article  ADS  Google Scholar 

  17. Rebentrost, P., Mohseni, M., Kassal, I., Lloyd, S., Aspuru-Guzik, A.: New J. Phys. 11, 033003 (2009)

    Article  ADS  Google Scholar 

  18. Caram, J.R., Engel, G.S.: Faraday Discuss 153, 93 (2011)

    Article  ADS  Google Scholar 

  19. Sarovar, M., Cheng, Y.-C., Whaley, K.: Phys. Rev. E 83, 011906 (2011)

    Article  ADS  Google Scholar 

  20. Rebentrost, P., Mohseni, M., Kassal, I., Lloyd, S., Aspuru-Guzik, A.: New J. Phys. 11, 033003 (2009)

    Article  ADS  Google Scholar 

  21. Harel, E., Engel, G.S.: Proc. Natl. Acad. Sci. USA “PNAS” 109, 706 (2012)

    Article  ADS  Google Scholar 

  22. Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)

    Article  ADS  Google Scholar 

  23. Shrödinger, E.: Proc. Camb. Phil. Soc. 31, 555 (1935)

    Article  ADS  Google Scholar 

  24. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  25. Bell, J.: Physics 1, 195 (1964)

    Google Scholar 

  26. Clauser, J., Horne, M., Shimony, A., Holt, R.: Phys. Rev. Lett. 23, 880 (1969)

    Article  ADS  Google Scholar 

  27. Huver, S.D., Wildfeuer, C.F., Dowling, J.P.: Phys. Rev. A 78, 063828 (2008)

    Article  ADS  Google Scholar 

  28. Wootters, W.K.: Quantum Inform. Comput. 1, 27 (2001)

    Google Scholar 

  29. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  30. Popescu, S., Rohrlich, D.: Phys. Rev. A 56, R3319 (1997)

    Article  ADS  Google Scholar 

  31. Zyczkowski, K., Horodecki, P., Sanpera, A., Lewenstein, M.: Phys. Rev. A 58, 883 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  32. Berrada, K: Opt. Commun. (2011)

  33. Berrada, K., Abdel Khalek, S., Raymond Ooi, C.H.: Phys. Rev. A 86, 033823 (2012)

    Article  ADS  Google Scholar 

  34. Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008)

    Article  ADS  Google Scholar 

  35. Berrada, K., Hassouni, Y.: Eur. Phys. J. D 61, 513 (2010)

    Article  ADS  Google Scholar 

  36. Wootters, W.K.: Quant. Inform. Comput. 1, 27 (2001)

    Google Scholar 

  37. Bennett, C.H, Bernstein, H. J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  38. Popescu, S., Rohrlich, D.: Phys. Rev. A 56, R3319 (1997)

    Article  ADS  Google Scholar 

  39. Nielsen, M.A.: Phys. Rev. Lett. 83, 436 (1999)

    Article  ADS  Google Scholar 

  40. Giacobino, E., Karr, J.P., Messin, G., Eleuch, H., Baas, A.: Comptes Rendus Phys. 3, 41 (2002)

    Article  ADS  Google Scholar 

  41. Eleuch, H., Guérin, S., Jauslin, H.R.: Phys. Rev. A 85, 013830 (2012)

    Article  ADS  Google Scholar 

  42. Berrada, K., El Baz, M., Eleuch, H., Hassouni, Y.: Int. J. Mod. Phys. C 21, 291 (2010)

    Article  ADS  Google Scholar 

  43. Sete, E.A., Svidzinsky, A.A., Eleuch, H., Yang, Z., Nevels, R.D., Scully, M.O.: J. Mod. Opt. 57, 1311 (2010)

    Article  ADS  Google Scholar 

  44. Eleuch, H.: Int. J. Mod. Phys. B 24, 5653 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  45. Abdel-Khalek, S., Berrada, K., Obada, A.S.-F.: Eur. Phys. J. D 66, 1 (2012)

    Article  Google Scholar 

  46. Berrada, K, Abdel-Khalek, S.: Physica E 44, 628 (2011)

    Article  ADS  Google Scholar 

  47. Abdel-Khalek, S., Berrada, K., Raymond Ooi, C.H.: Laser Phys. 22, 1449 (2012)

    Article  ADS  Google Scholar 

  48. Berrada, K., Mohammadzade, A., Abdel-Khalek, S., Eleuch, H., Salimity, S.: Physica E 45, 21 (2012)

    Article  ADS  Google Scholar 

  49. Berrada, K., Eleuch, H.: Laser Phys. 25, 105201 (2015)

    Article  ADS  Google Scholar 

  50. Werner, R.F.: Phys. Rev. A 40, 4277 (1989)

    Article  ADS  Google Scholar 

  51. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  52. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  53. Friedrich, B., Herschbach, D.: Phys. Rev. Lett. 74, 4623 (1995)

    Article  ADS  Google Scholar 

  54. Englert, B.G.: Elements of micromaser physics. arXiv:quant-ph/0203052 (2002)

  55. Li, X.-S., Lin, D.L., Gong, C.-D.: Phys. Rev. A 36, 5209 (1987)

    Article  ADS  Google Scholar 

  56. Hood, C.J., Chapman, M.S., Lynn, T.W., Kimble, H.J.: Phys. Rev. Lett. 80, 4157 (1998)

    Article  ADS  Google Scholar 

  57. Panitchayangkoon, G., et al.: Proc. Natl. Acad. Sci. USA 107, 12766 (2010)

    Article  ADS  Google Scholar 

  58. Collini, E., et al.: Nature (London) 463, 644 (2010)

    Article  ADS  Google Scholar 

  59. Miller, W.H.: J. Chem. Phys. 136, 210901 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (44-130-36-RG). The authors, therefore, acknowledge with thanks DSR technical and financial support.

Author information

Authors and Affiliations

  1. Department of Chemistry, Faculty of Sciences, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Reda M. El-Shishtawy

  2. Department of Physics, College of Science, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

    K. Berrada

  3. Center for Nanoscale Science and Engineering, Departments of Chemistry and Chemical and Environmental Engineering, University of California, Riverside, CA, 92521-0403, USA

    Robert C. Haddon

  4. King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Robert C. Haddon

  5. Physics Department, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Yas F. Al-Hadeethi, Saleh. H. Al-Heniti & Bahaaudin M. Raffah

  6. Lithography in Devices Fabrication and Development Research Group, DSR, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Yas F. Al-Hadeethi

Authors
  1. Reda M. El-Shishtawy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Berrada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Robert C. Haddon
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yas F. Al-Hadeethi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Saleh. H. Al-Heniti
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Bahaaudin M. Raffah
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Berrada.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

El-Shishtawy, R.M., Berrada, K., C. Haddon, R. et al. Quantum Transfer Energy and Nonlocal Correlation in a Dimer with Time-Dependent Coupling Effect. Int J Theor Phys 56, 1417–1428 (2017). https://doi.org/10.1007/s10773-017-3282-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-017-3282-1

Keywords

Search

Navigation