Three boson interaction process: spectra and coherent states

Autor: Goce Chadzitaskos, C. Daskaloyannis, J. Smotlacha
Rok vydání: 2013
Předmět:
Zdroj: Journal of Modern Optics. 60:479-487
ISSN: 1362-3044
0950-0340
DOI: 10.1080/09500340.2013.793415
Popis: We use the methods of constructions of and deformed coherent states in order to construct the coherent states for down conversion processes. The down conversion process can be understood as a quasi-exactly solvable model of quantum mechanics. After the reduction of the Hamiltonian, we use the Turbiner polynomials approach, and the eigenvalues of the Hamiltonian for low number of photons are calculated and the approximation formula is found out. After the discussion on the time evolution and the entanglement, the coherent states are constructed as the eigenstates of the reduced annihilation operator.
Databáze: OpenAIRE