Classical physics analogues of two- and three-state quantum systems
Dr. Andon Rangelov (Department of Physics, Sofia University, Bulgaria)

Composite pulses and adiabatic passage techniques are a very powerful tool for coherent control of quantum systems. We present a variety of classical analogues of these techniques adapted for two- and three-state quantum systems, which have application in polarization optics [1-3], sum-frequency generation [4,5], invisible cloaking [6] and wireless energy transfer [7-9]. These analogues originate from the mathematical equivalence between the Schrödinger equation and the differential equations that describe classical systems. The analogues offer control tools, which are more effective, robust and reliable compared with the already established.

[1] A. A. Rangelov, U. Gaubatz, N. V. Vitanov, Opt. Commun. 283 (2010) 3891.
[2] A. A. Rangelov, Opt. Lett. 36, 2716 (2011).
[3] S. S. Ivanov, A. A. Rangelov, T. Peters, T. Halfmann, N. V. Vitanov, to be submitted.
[4] H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78 (2008) 063821.
[5] H. Suchowski, V. Prabhudesai, D. Oron, A. Arie, Y. Silberberg, Opt. Exp. 17 (2009) 12731.
[6] U. Leonhardt, Science 312, (2006) 1777.
[7] A. Kurs, A. Karalis, R. Moffatt, J. D. Joannopoulos, P. Fisher, M. Soljacic, Science 317 (2007) 83.
[8] R. E. Hamam, A. Karalis, J. D. Joannopoulos, M. Soljacic, Ann. Phys. 324 (2009) 1783.
[9] A. A. Rangelov, H. Suchowski, Y. Silberberg, N. V. Vitanov, Ann. Phys. 326 (2011) 626.