Driven three-state model and its analytic solutions

Journal Article · Mon Feb 01 04:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528041· OSTI ID:5707903

Carroll, C E; Hioe, F T

For an atom or molecule in which two transitions are driven by laser beams, a three-state model is used. Transitions among the three states are caused only by the oscillating electric fields of the laser beams. The amplitudes and detunings of the two laser beams, which are various functions of the time, appear in the Schroedinger equation for the atom or molecule. In certain cases, the Schroedinger equation can be solved analytically, to find transition probabilities and the probability of no transition. This is done by using Clausen's special function, or by assuming that the sum of the two detunings is zero at all times. Conditions for complete transfer of the population from the ground state to an excited state are obtained from the analytic solutions.

• Research Organization: Department of Physics, St. John Fisher College, Rochester, New York 14618
• OSTI ID: 5707903
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:2; ISSN JMAPA
• Country of Publication: United States
• Language: English

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