SHANNON INFORMATION AND ENTROPY SQUEEZING OF TWO FIELDS PARAMETRIC FREQUENCY CONVERTER INTERACTING WITH A SINGLE-ATOM

Mahmoud Abdel‐Aty, A.‐S. F. Obada, M. Sebawe Abdalla · International Journal of Quantum Information · 2003

In terms of a new Hamiltonian we introduce a modified Jaynes–Cummings model to represent the interaction between a two-level atom and two electromagnetic fields injected simultaneously within a perfect cavity. The field–field interaction is assumed to be in the frequency converter form. Exact expressions of the dynamical operators is given by solving the equations of the motion in the Heisenberg picture. The entropy squeezing is examined in the framework of Shannon information entropy. Using the entropic uncertainty relation, one can be able to show that there is a new kind of quantum squeezing in the entropy.

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