dc.contributor.author | Joseph Akeyo Omolo | |
dc.date.accessioned | 2020-12-01T07:32:54Z | |
dc.date.available | 2020-12-01T07:32:54Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | https://repository.maseno.ac.ke/handle/123456789/3140 | |
dc.description.abstract | In this paper, a simple method for obtaining general analytical solutions of the time evolution equations for a fully quantized parametric oscillation process is developed. Heisenberg’s equations for the signal–idler photon annihilation operators are converted into a matrix equation equivalent to a two-state Jaynes–Cummings time evolution equation which has exact analytical solutions. The mean intensity inversion for the coupled signal–idler photon pair is found to undergo fractional revivals for pump photon in a Fock state, provided both signal and idler photons are in occupied Fock states. General collapses and revivals occur for interactions with pump photon in a coherent state, but now with both or either of signal and idler photons in occupied Fock states. An interpretation of the coupled signal–idler photon pair as a circularly polarized two-state system specified by positive and negative helicity states leads to an appropriate description of photon polarization state dynamics governed by the underlying Jaynes–Cummings interaction. | en_US |
dc.publisher | Routledge | en_US |
dc.subject | quantized parametric oscillation, Jaynes–Cummings interaction, collapses, revivals, fractional revivals, polarization state dynamics | en_US |
dc.title | Exact analytical solutions for fully quantized parametric oscillation dynamics | en_US |
dc.type | Article | en_US |