A note on the geometry of the quantum states of a two-level atom in external radiation fields

8th International Symposium on Quantum Theory and Symmetries

Enríquez, Marco^1 ; Reyes, Rosa^1 ; Rosas-Ortiz, Oscar^1

Physics Department, Cinvestav, A.P. 14-740, 07000 México D.F., Mexico^1

关键词: External radiation fields;    Geometric properties;    Hubbard operators;    Matrix operations;    Quantum approach;    Radiation field;    Three-dimensional units;    Two-level system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/512/1/012021/pdf
DOI  :  10.1088/1742-6596/512/1/012021

来源: IOP

【 摘 要 】

We discuss some of the geometric properties of the state spaces in Quantum Mechanics with emphasis in the two-level systems case. Then the dynamics of a two-level atom affected by radiation fields is revisited in both the semiclassical and quantum approaches. In the calculations we use Hubbard operators to reduce the matrix operations into simple relations of subscripts. The time-evolution of the energy states of the atom is associated to trajectories either on the 2-sphere or in the three-dimensional unit ball according to the classical or quantum approach we are using.