Abstract.
The joint entropy of a non-dissipative driven harmonic oscillator for both the single and the double Gaussian states is determined. It is shown that, a non-random driving force does not influence the evolution of the system’s joint entropy. For a random driving force however, the joint entropy increases almost monotonically with time, while exhibiting oscillatory behavior. The increase is a further proof of the decoherence mechanism in the system, for which we determine the duration and other characteristics.
Similar content being viewed by others
References
R.M. Gray, Entropy and Information Theory (Springer-Verlag, New York, 2013) p. 311
D. Feldman, A Brief Introduction to Information Theory, Excess Entropy and Computational Mechanics (Bar Harbor, Revised Edition, 2002) pp. 5--11
T.M. Cover, T.A. Joy, Elements of Information Theory (John Wiley and Sons Inc, 1991) p. 308
J. Dunkel, S.A. Trigger, Phys. Rev. A 71, 052102 (2005)
W.H. Zurek, Phys. Today 44, 36 (1991)
C. Anastopoulos, Ann. Phys. 303, 275 (2003)
R. Leipnik, Inf. Control 2, 64 (1959)
V. Aguiar, I. Guedes, Physica A 401, 159 (2014)
S.A. Trigger, Bull. Lebedev Phys. Inst. 9, 44 (2004)
R.J. Yáñez, W. Van Assche, J.S. Dehesa, Phys. Rev. A 50, 3065 (1994)
P. Garbaczewski, Phys. Rev. A 72, 056101 (2005)
Ö. Özcan, E. Aktürk, R. Sever, Int. J. Theor. Phys. 47, 3207 (2008)
E. Aktürk, Ö. Özcan, R. Sever, Int. J. Mod. Phys. B 31, 2449 (2009)
R. Omnès, Rev. Mod. Phys. 64, 339 (1992)
R.W. Robinett, Phys. Rep. 392, 1 (2004)
J.C. Retamal, in Lecture Notes in Physics, Vol. 575 (Springer-Verlag, 2001) pp. 138--157
G.W. Ford, R.F. O’Connell, Phys. Scr. 82, 038112 (2010)
J.R. Choi, Pramana-J. Phys. 62, 13 (2004)
G.W. Ford, R.F. O’Connell, Phys. Lett. A 286, 87 (2001)
W.G. Unruh, Philos. Trans. R. Soc. A 370, 4454 (2012)
R.F. O’Connell, J. Zuo, J. Mod. Opt. 512, 821 (2003)
R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1965)
I. Bialynicki-Birula, J. Mycielski, Commun. Math. Phys. 44, 129 (1975)
M. Campisi, Phys. Rev. E 78, 051123 (2008)
M. Kardar, Statistical Physics of Fields (Cambridge University Press, 2007) p. 41
R.F. O’Connell, J. Zuo, Phys. Rev. A 67, 062107 (2003)
G.W. Ford, J.T. Lewis, R.F. O’Connell, Phys. Rev. A 64, 032101-1-4 (2001)
C.J. Myatt, B.E. King, Q.A. Turchette, C.A. Sackett, D. Kielpinski, W.M. Itano, C. Monroe, D.J. Wineland, Nature 403, 269 (2000)
G.W. Ford, J.T. Lewis, Probability, Statistical Mechanics and Number Theory, in Adv. Math. Supplement. Studies, Vol. 9 (Orlando, Academic, FL, 1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fotue, A.J., Wirngo, A.V., Keumo Tsiaze, R.M. et al. Joint entropy and decoherence without dissipation in a driven harmonic oscillator. Eur. Phys. J. Plus 131, 326 (2016). https://doi.org/10.1140/epjp/i2016-16326-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2016-16326-9