Counterintuitive transitions between crossing energy levels

Details Counterintuitive transitions between crossing energy levels Counterintuitive transitions between crossing energy levels

2010-10-06

arxiv.org/abs/1010.1280v1

Phys. Rev. A 72, 053404 (2005)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.72.053404

We calculate analytically the probabilities for intuitive and counterintuitive transitions in a three-state system, in which two parallel energies are crossed by a third, tilted energy. The state with the tilted energy is coupled to the other two states in a chainwise linkage pattern with constant couplings of finite duration. The probability for a counterintuitive transition is found to increase with the square of the coupling and decrease with the squares of the interaction duration, the energy splitting between the parallel energies, and the tilt (chirp) rate. Physical examples of this model can be found in coherent atomic excitation and optical shielding in cold atomic collisions.

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