Coherent control of a quantum transition by a phase jump
Abstract
We present an analytically exactly soluble twostate model, in which a hyperbolicsecantshaped pulsed interaction has a phase jump of ϕ at the time of its maximum. The detuning has a constant part and a hyperbolictangent chirp term. For ϕ=0 , this model reduces to the DemkovKunike model, which in turn contains as particular cases three other wellknown models: the RosenZener, AllenEberly, and BambiniBerman models. A nonzero ϕ induces dramatic changes in the transition probability, ranging from complete population inversion to complete population return. The analytic results are particularly instructive in the adiabatic limit and demonstrate that complete population inversion can always occur for a suitable choice of ϕ . The jump phase ϕ can therefore be used as a control parameter for the twostate transition probability.
 Publication:

Physical Review A
 Pub Date:
 November 2007
 DOI:
 10.1103/PhysRevA.76.053404
 Bibcode:
 2007PhRvA..76e3404T
 Keywords:

 32.80.Bx;
 33.80.Be;
 34.50.s;
 32.80.Qk;
 Level crossing and optical pumping;
 Level crossing and optical pumping;
 Scattering of atoms and molecules;
 Coherent control of atomic interactions with photons