A Second Quantized Approach to the Rabi Problem

Autor(es)

Baldiotti, M. C. ; Molina, C.

• Tipo de documento: Artigo Científico
• Fonte: Brazilian Journal of Physics; v. 47, n. 5, p. 544-551, OCT 2017.
• Citações Web of Science: 0

Resumo

In the present work, the Rabi Problem, involving the response of a spin 1/2 particle subjected to a magnetic field, is considered in a second quantized approach. In this concrete physical scenario, we show that the second quantization procedure can be applied directly in a non-covariant theory. The proposed development explicits not only the relation between the full quantum treatment of the problem and the semiclassical Rabi model, but also the connection of these approaches with the Jaynes-Cummings model. The consistency of the method is checked in the semiclassical limit. The treatment is then extended to the matter component of the Rabi problem so that the Schrodinger equation is directly quantized. Considering the spinorial field, the appearance of a negative energy sector implies a specific identification between Schrodinger's and Maxwell's theories. The generalized theory is consistent, strictly quantum and non-relativistic. (AU)

• Processo FAPESP: 15/24380-2 - Termodinâmica generalizada em correspondências fluido/gravidade
• Beneficiário: Carlos Molina Mendes
• Modalidade de apoio: Auxílio à Pesquisa - Regular