Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field

Alain Jerve Fotue; Sadem Christian Kenfack; Nsangou Issofa; Maurice Tiotsop; Michel Pascal Tabue Djemmo; Amos Veyongni Wirngo; Hilaire Fotsin; Lukong Cornelius Fai

doi:doi:10.11648/j.ajmp.20150403.16

Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field

Alain Jerve Fotue, Sadem Christian Kenfack, Nsangou Issofa, Maurice Tiotsop, Michel Pascal Tabue Djemmo, Amos Veyongni Wirngo, Hilaire Fotsin, Lukong Cornelius Fai

Published in American Journal of Modern Physics (Volume 4, Issue 3)

Received: 29 April 2015 Accepted: 13 May 2015 Published: 3 June 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period τ_0when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element 〖 p〗_01 (〖 or p〗_10) decays with the time as well for different coupling strengths, conﬁnement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.

Published in	American Journal of Modern Physics (Volume 4, Issue 3)
DOI	10.11648/j.ajmp.20150403.16
Page(s)	138-148
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Polaron, Quantum Dot, Qubit, Electric Field, Magnetic Field, Cyclotron Frequency, Shannon Entropy, Decoherence

References

[1]	Li W. P., Yin J. W., Yu Y. F., Wang Z.W. and Xiao J.L., J. Low Temp Phys. 160, 112(2010).
[2]	Yu Y. F., Li W. P., Yin J. W. and Xiao J.L., J. Low Temp. Phys. 50, 3322(2011)
[3]	J.W. Yin, J.L. Xiao, Y.F. Yu, Z.W. Wang, Chin. Phys. B 18, 446(2009).
[4]	Jia-kui S., Hong-Juan L., Jing-Lin X., Physica B 404,1961(2009).
[5]	Nielsen M.A., Chang I. L., Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
[6]	I. D’Amico, Microelectron. J. 37, 1440 (2006)
[7]	Bennett C.H., DiVincenzo D.P., Nature 404, 247 (2000)
[8]	Hawrylak P., Korkusinski M., Solid State Commun. 136, 508 (2005)
[9]	Sarma S.D., Sousa R.D., Hu X.D., Koiller B., Solid State Commun. 133, 737 (2005)
[10]	Yi-Fu Yu, Wei-Ping Li, Ji-Wen Yin, Jing-Lin Xiao, Int. J. Theor. Phys 50, 3322(2011).
[11]	Barnes, J.P., Warren, W.S., Phys. Rev. A 60, 4363 (1999)
[12]	Tolkunov, D., Privman, V., Phys. Rev. A 69, 062309 (2004)
[13]	Grodecka, A., Machnikowski, P., Phys. Rev. B 73, 125306 (2006)
[14]	Lovric, M., Krojanski, H.G., Suter, D., Phys. Rev. A 75, 042305 (2007)
[15]	Shannon CE. Bell Syst. Tech. J., 27(1), 379(1948)
[16]	Sagar RP, Hô M, Mex J. , Chem. Soc. 52(1),60-66(2008).
[17]	Guo-Hua Sun, Shi-Hai Dong. Phys. Scr. 87(4), 045003(2013)
[18]	L. C. Fai, M. Tchoffo, J. T. Diffo and G. C. Fouokeng, Physical Review & Research International 4(2): 267(2014)
[19]	Jing-Lin Xiao, J. Low Temp Phys. 172(1-2), 122 (2013).
[20]	Li S.S., Xia J.B., Yang F.H., Niu Z.C., Feng S.L., Zheng H.Z., J. Appl. Phys. 90, 6151 (2001)
[21]	Li S.S.,Gui- Lu L., Bai F.S., Feng S.L., Zheng H.Z., Proc. Natl. Acad. Sci. USA 98, 11847 (2001)
[22]	Wang Z.W., Xiao J.L., Acta Phys. Sin. 56, 678 (2007)
[23]	L.D Landau, E.M. Lifshitz, Quantum Mechanics (Non relativistic Theory) (Pergamon, London, 1987)
[24]	Yong Sun, Zhao-Hua Ding and Jing-Lin Xiao, J. Low temp. Phys. 177, 151(2014)
[25]	Chen Shihua and Xiao Jing-Lin, Chinese Journal of Electronics 18(2), 2009
[26]	A. J. Fotue, S. C. Kenfack, H. Fotsin, M. Tiotsop, L. C. Fai and M.P. Tabue Djemmo, Physical Science international journal 6(1), 15(2015).
[27]	Y. Ji-Wen , X. Jing-Lin, Y. Yi-Fu and W. Zi-Wu, Chinese Physics B 18(2), 446(2009)
[28]	B.S. Kandemir, A. Cetin, J. Phys. Condens. Matter 17(4), 667(2003)
[29]	V. L. Nguyen, M. T. Nguyen and T. D. Nguyen, Physica B 292(1), 159(2000).
[30]	C. S. Wang and J. L. Xiao, Mod. Phys. Lett. B 26, 1150003 (2012) [10 pages]
[31]	Y. Lepine and G. Bruneau, J. Phys. Condens. Matter 10, 1495(1998).
[32]	B. S. Kandemir and T. Altanhan, Eur. Phys. J. B. 33, 227(2003).

Cite This Article

Plain Text BibTeX RIS

APA Style

Alain Jerve Fotue, Sadem Christian Kenfack, Nsangou Issofa, Maurice Tiotsop, Michel Pascal Tabue Djemmo, et al. (2015). Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. American Journal of Modern Physics, 4(3), 138-148. https://doi.org/10.11648/j.ajmp.20150403.16

Copy | Download

ACS Style

Alain Jerve Fotue; Sadem Christian Kenfack; Nsangou Issofa; Maurice Tiotsop; Michel Pascal Tabue Djemmo, et al. Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. Am. J. Mod. Phys. 2015, 4(3), 138-148. doi: 10.11648/j.ajmp.20150403.16

Copy | Download

AMA Style

Alain Jerve Fotue, Sadem Christian Kenfack, Nsangou Issofa, Maurice Tiotsop, Michel Pascal Tabue Djemmo, et al. Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. Am J Mod Phys. 2015;4(3):138-148. doi: 10.11648/j.ajmp.20150403.16

Copy | Download

@article{10.11648/j.ajmp.20150403.16,
  author = {Alain Jerve Fotue and Sadem Christian Kenfack and Nsangou Issofa and Maurice Tiotsop and Michel Pascal Tabue Djemmo and Amos Veyongni Wirngo and Hilaire Fotsin and Lukong Cornelius Fai},
  title = {Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {3},
  pages = {138-148},
  doi = {10.11648/j.ajmp.20150403.16},
  url = {https://doi.org/10.11648/j.ajmp.20150403.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150403.16},
  abstract = {In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period τ_0when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element 〖 p〗_01 (〖 or p〗_10) decays with the time as well for different coupling strengths, conﬁnement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field
AU  - Alain Jerve Fotue
AU  - Sadem Christian Kenfack
AU  - Nsangou Issofa
AU  - Maurice Tiotsop
AU  - Michel Pascal Tabue Djemmo
AU  - Amos Veyongni Wirngo
AU  - Hilaire Fotsin
AU  - Lukong Cornelius Fai
Y1  - 2015/06/03
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150403.16
DO  - 10.11648/j.ajmp.20150403.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 138
EP  - 148
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150403.16
AB  - In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period τ_0when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element 〖 p〗_01 (〖 or p〗_10) decays with the time as well for different coupling strengths, conﬁnement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.
VL  - 4
IS  - 3
ER  -

Copy | Download

Author Information

Alain Jerve Fotue

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Sadem Christian Kenfack

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Nsangou Issofa

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Maurice Tiotsop

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Michel Pascal Tabue Djemmo

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Amos Veyongni Wirngo

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Hilaire Fotsin

Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Lukong Cornelius Fai

Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Alain Jerve Fotue, Sadem Christian Kenfack, Nsangou Issofa, Maurice Tiotsop, Michel Pascal Tabue Djemmo, et al. (2015). Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. American Journal of Modern Physics, 4(3), 138-148. https://doi.org/10.11648/j.ajmp.20150403.16

Copy | Download

ACS Style

Alain Jerve Fotue; Sadem Christian Kenfack; Nsangou Issofa; Maurice Tiotsop; Michel Pascal Tabue Djemmo, et al. Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. Am. J. Mod. Phys. 2015, 4(3), 138-148. doi: 10.11648/j.ajmp.20150403.16

Copy | Download

AMA Style

Alain Jerve Fotue, Sadem Christian Kenfack, Nsangou Issofa, Maurice Tiotsop, Michel Pascal Tabue Djemmo, et al. Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field. Am J Mod Phys. 2015;4(3):138-148. doi: 10.11648/j.ajmp.20150403.16

Copy | Download

@article{10.11648/j.ajmp.20150403.16,
  author = {Alain Jerve Fotue and Sadem Christian Kenfack and Nsangou Issofa and Maurice Tiotsop and Michel Pascal Tabue Djemmo and Amos Veyongni Wirngo and Hilaire Fotsin and Lukong Cornelius Fai},
  title = {Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field},
  journal = {American Journal of Modern Physics},
  volume = {4},
  number = {3},
  pages = {138-148},
  doi = {10.11648/j.ajmp.20150403.16},
  url = {https://doi.org/10.11648/j.ajmp.20150403.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150403.16},
  abstract = {In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period τ_0when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element 〖 p〗_01 (〖 or p〗_10) decays with the time as well for different coupling strengths, conﬁnement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Decoherence of Polaron in Asymmetric Quantum Dot Qubit Under an Electromagnetic Field
AU  - Alain Jerve Fotue
AU  - Sadem Christian Kenfack
AU  - Nsangou Issofa
AU  - Maurice Tiotsop
AU  - Michel Pascal Tabue Djemmo
AU  - Amos Veyongni Wirngo
AU  - Hilaire Fotsin
AU  - Lukong Cornelius Fai
Y1  - 2015/06/03
PY  - 2015
N1  - https://doi.org/10.11648/j.ajmp.20150403.16
DO  - 10.11648/j.ajmp.20150403.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 138
EP  - 148
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20150403.16
AB  - In this paper, we investigate the time evolution of the quantum mechanical state of a polaron using the Pekar type variational method on the electric-LO-phonon and the magnetic-LO-phonon strong coupling in a quantum dot. We obtain the Eigen energies and the Eigen functions of the ground state and the first excited state, respectively. In a quantum dot, this system can be viewed as a two level quantum system qubit. The superposition state polaron density oscillates in the quantum dot with a period τ_0when the polaron is in the superposition of the ground and the first-excited states. The spontaneous emission of phonons causes the decoherence of the qubit. We show that the density matrix of the qubit decays with the time while the coherence term of the density matrix element 〖 p〗_01 (〖 or p〗_10) decays with the time as well for different coupling strengths, conﬁnement lengths, and dispersion coefficients. The Shannon entropy is evaluated in order to investigate the decoherence of the system.
VL  - 4
IS  - 3
ER  -

Copy | Download