Skip to main content
Log in

Quantum Entropy in Ladder-Plus-Y Double Quantum Dot System using Spontaneously Generated Coherence

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

Abstract

Quantum entropy under spontaneously generated coherence (SGC) was modeled and studied in a double quantum dot (DQD) structure. This system becomes after including the wetting layer (WL) as a ladder-plus-Y- system. The results show that the high probe field under high SGC can give good entanglement between states of the DQD system. Under the high SGC component, the optical pump was more efficient than the probe signal in increasing entanglement. The application of optical fields into WL reduces quantum entropy.

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

Access this article

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
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Mousavi, S.M., Safari, L., Mahmoudi, M., Sahrai, M.: Effect of quantum interference on the optical properties of a three-level V-type atomic system beyond the two-photon resonance condition. J. Phys. B: At. Mol. Opt. Phys. 43, 165501 (2010)

    Article  ADS  Google Scholar 

  2. Fei, W., Wen-Xing, S., Cheng, G.: Effects of spontaneously generated coherence on intensity-intensity correlation in a driven Y-Type atom. Commun. Theor. Phys. 56, 1079–1083 (2011)

    Article  ADS  Google Scholar 

  3. Al-Nashy, B., Razzaghi, S., Al-Musawi, M.A., Saghai, H.R., Al-Khursan, A.H.: Giant gain from spontaneously generated coherence in Y-type double quantum dot structure. Results Phys. 7, 2411–2416 (2017)

    Article  ADS  Google Scholar 

  4. Du, Y., Jin, K., Zhang, J.: The Kerr nonlinearity in an N-Type four-level system via spontaneously generated coherence. J. At. Mol. Phys. 2009, 382764, 4 (2009). https://doi.org/10.1155/2009/382764

  5. Sahrai, M., Noshad, H., Mahmoudi, M.: Entanglement of an atom and its spontaneous emission fields via spontaneously generated coherence. J. Sci. 22, 171–176 (2011)

    Google Scholar 

  6. Eisert, J., Cramer, M., Plenio, M.B.: Area laws for the entanglement entropy – a review. Rev. Mod. Phys. 82, 277–306 (2010)

    Article  ADS  Google Scholar 

  7. Abazari, M., Mortezapour, A., Mahmoudi, M., Sahrai, M.: Phase-controlled atom-photon entanglement in a three-level V-type atomic system via spontaneously generated coherence. Entropy 13, 1541–1554 (2011)

    Article  ADS  Google Scholar 

  8. Entezar, S.R.: Permanently disentangled states of the atom–field system via spontaneously generated coherence. J. Mod. Opt. 60, 1364–1369 (2013)

    Article  ADS  Google Scholar 

  9. Sahraia, M., Nishida, H., Arzhanga, B., Tajallib, H.: Voltage-controlled entanglement between quantum-dot molecule and its spontaneous emission fields via quantum entropy. Int. J. Opt. Photon. 5, 87–95 (2011)

    Google Scholar 

  10. Villas-Boas, J.M., Govorov, A.O., Ulloa, S.E.: Coherent control of tunneling in a quantum dot molecule. Phys. Rev. B 69, 125342 (2004)

    Article  ADS  Google Scholar 

  11. Michael, S., Chow, W.W., Schneider, H.C.: Group-velocity slowdown in a double quantum dot molecule. Phys. Rev. B 88, 125305 (2013)

    Article  ADS  Google Scholar 

  12. Hachim, F.K., Hanoon, F.H., Al-Khursan, Amin Habbeb.: Adaptive prism using double quantum dot structure. Appl. Opt. 59, 2759–2766 (2020)

  13. Akram, H., Al-Khursan, A.H.: Second-order nonlinearity in ladder plus-Y configuration in double quantum dot structure. Appl. Opt. 55, 9866–9874 (2016)

    Article  ADS  Google Scholar 

  14. Abdullah, M., Mohammed Noori, F.T., Al-Khursan, A.H.: Terahertz emission in ladder plus Y-configurations in double quantum dot structure. Appl. Opt. 54, 5168–5192 (2015)

    Article  Google Scholar 

  15. Rehman, E., Al-Khursan, A.H.: All-optical processes in double quantum dot structure. Appl. Opt. 55, 7337–7344 (2016)

    Article  ADS  Google Scholar 

  16. Kamil, N.A., AH-Khursan, A.L.: Optical multistability in double quantum dot system: effect of momentum matrix elements. Superlattice. Microst. 109, 58–70 (2017)

    Article  ADS  Google Scholar 

  17. Li, J., Yu, R., Liu, J., Huang, P., Yang, X.: Voltage-controlled optical bistability of a tunable three-level system in a quantum-dot molecule. Phys. E 41, 70–73 (2008)

    Article  Google Scholar 

  18. Sahrai, M., Mehmannavaz, M.R., Sattari, H.: Optically controllable switch for light propagation based on triple coupled quantum dots. Appl. Opt. 53(2375), 2383 (2014)

    ADS  Google Scholar 

  19. Hao, X., Wu, J., Wang, Y.: Steady-state absorption–dispersion properties and four-wave mixing process in a quantum dot nanostructure. J. Opt. Soc. Am. B 29, 420–428 (2012)

    Article  ADS  Google Scholar 

  20. Tarasov, G.G., Zhuchenko, Z.Y., Lisitsa, M.P., Mazur, Yu.I., Wang, Zh.M., Salamo, G.J., Warming, T., Bimberg, D., Kissel, H.: Optical detection of asymmetric quantum-dot molecules in double-layer InAs/GaAs structures. Semiconductors 40, 79–83 (2006)

    Article  ADS  Google Scholar 

  21. Vafafard, A., Goharshenasan, S., Nozari, N., Mortezapour, A., Mahmoudi, M.: Phase-dependent optical bistability in the quantum dot nanostructure molecules via inter-dot tunneling. J. Lumin. 134, 900–905 (2013)

    Article  Google Scholar 

  22. She, Y., Zheng, X., Wang, D., Zhang, W.: Controllable double tunneling induced transparency and solitons formation in a quantum dot molecule. Opt. Express 21, 17392–17403 (2013)

    Article  ADS  Google Scholar 

  23. Yan, D., Liu, Y., Bao, Q., Fu, C., Wu, J.: Electromagnetically induced transparency in an inverted-Y system of interacting cold atoms. Phys. Rev. A 86, 023828 (2012)

    Article  ADS  Google Scholar 

  24. Kuang, S., Yang, H.: Blazed gain grating in a four-level atomic system. J. Opt. Soc. Am. B 30, 136–139 (2013)

    Article  ADS  Google Scholar 

  25. Zhang, Y., Xiao, M.: Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system. Appl. Phys. Lett. 90, 111104 (2007)

    Article  ADS  Google Scholar 

  26. Michael, S., Chow, W.W., Schneider, H.C.: Group-velocity slowdown in quantum-dots and quantum-dot Molecules. Proc. SPIE 8980, 89801I (2014)

    Article  ADS  Google Scholar 

  27. Kim, J., Chuang, S.L.: Theoretical and experimental study of optical gain, refractive index change, and linewidth enhancement factor of p-doped quantum-dot lasers. IEEE J. Quantum Electron. 42, 942–952 (2006)

    Article  ADS  Google Scholar 

  28. Al-Husaini, H., Al-Khursan, A.H., Al-Dabagh, S.Y.: III-N QD lasers. Open Nanosci. J. 3, 1–11 (2009)

    Article  ADS  Google Scholar 

  29. Dakhil, T., Abdulalmuhsin, S.M., Al-Khursan, A.H.: Tunable mechanisms of quantum efficiencies in CdSe and TiO2 quantum dot solar. Appl. Opt. 57, 612–619 (2018a)

    Article  ADS  Google Scholar 

  30. Dakhil, T., Abdulalmuhsin, S.M., Al-Khursan, A.H.: Quantum efficiency of CdS quantum dot photodetectors. Micro. Nano Lett. 13, 1185–1187 (2018b)

    Article  Google Scholar 

  31. Jabir, J.N., Ameen, S.M.M., Al-Khursan, A.H.: Plasmonic quantum dot nanolaser: effect of “waveguide Fermi energy”. Plasmonics 14, 1881–1891 (2019). https://doi.org/10.1007/s11468-019-00981-2

  32. Al-Nashy, B., Amin, S.M.M., Al-Khursan, A.H.: Kerr effect in Y- configuration double quantum dot system. J. Opt. Soc. Am. B 125, 4873–4875 (2014)

    Google Scholar 

  33. Al-Nashy, B., Ameen, S.M.M., Al-Khursan, A.H.: Kerr dispersion in Y- configuration double quantum dot System. J. Opt. 16, 105205 (2014)

    Article  ADS  Google Scholar 

  34. Calabrese, P., Cardy, J.: Evolution of entanglement entropy in one-dimensional systems. J. Stat. Mech. P04010 (2005). https://doi.org/10.1088/1742-5468/2005/04/P04010

  35. Phoenix, S.J.D., Knight, P.L.: fluctuations and entropy in models of quantum optical resonance. Ann. Phys. 186, 381–407 (1988)

    Article  ADS  Google Scholar 

  36. Asada, M., Kameyama, A., Suematsu, Y.: Gain and intervalence bans absorption in quantum-well lasers. EEE J. Quantum Electron. QE-20, 745–753 (1984)

    Article  ADS  Google Scholar 

  37. Mandel, L., Wolf, E.: Optical coherence and quantum optical. Cambridge University Press, Cambridge (1995)

    Book  Google Scholar 

  38. Al-Ameri, H.H., Abdullah, M., Al-Khursan, A.H.: Entanglement in ladder-plus-Y-double quantum dot structure via entropy. Appl. Opt. 58, 369–382 (2019)

    Article  ADS  Google Scholar 

  39. Al-Salihi, F.R., Al-Khursan, A.H.: Electromagnetically induced grating in double quantum dot system. Opt. Quant. Electron. 52, 185 (2020)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amin Habbeb Al-Khursan.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Al-Ameri, H.H., Abdullah, M. & Al-Khursan, A.H. Quantum Entropy in Ladder-Plus-Y Double Quantum Dot System using Spontaneously Generated Coherence. Int J Theor Phys 60, 10–25 (2021). https://doi.org/10.1007/s10773-020-04635-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-020-04635-6

Keywords

Navigation