Rabi sidebands

Figure 2 depicts the Induced polarization for a given set of conditions The two side peaks correspond to the Rabi sidebands, and the central feature at lo = 0 is the pressure induced extra resonance at the degenerate frequency. 

Figure 1 Three-level atoms with dipole transitions 1,2)- 3) in the Lambda configuratioa Two external coherent fields are coupled to the dipole transitions (half Rabi frequencies Qi 2) and detuned asymmetrically with respect to respective transitions (Ai=-A2=A). Two cavity fields (oi 2) are generated from Rabi sidebands.

Figure 9 Three-level atoms with dipole transitions 1,2>- 3) in the Lambda configuration. The dipole forbidden transition between two metastable states 1> and 2) are coupled to each other via microwave transition (a), or Raman transition (b), or two-photon transition (c) with effective half Rabi frequency Qo Another optical field is resonantly coupled to the dipole transition 2)- 3> with half Rabi frequency Qi. The two cavity fields 012 are amplified from Rabi sidebands on the dipole transition 1)- 3>.

If 8 = (i) (n -n), transitions are resonantly driven between the levels 11, n) and 11, n > at a rate g which is dependent on n and n [16,21,23] (analogous to Franck-Condon factors). Starting from the l> n) state, application of a Rabi Ti pulse coherently transfers the ion to the f ) n ) state this corresponds to applying the Raman beams for a duration t such that = tt. If we apply the Raman beams for half of this time, we create the entangled state of Eq. (4). Here, we will assume the ion is confined in the Lamb-Dicke limit ( 51c 1) and will consider three transitions. The carrier, at 6 = 0, drives transitions between states 1J, n) - 11, n) with Rabi frequency = g. The first red sideband, corresponding to 6 = -(0 drives transitions between states l,n) - T,n-1) with Rabi frequency = gT i/ n. This coupling is analogous to the case in cavity... 

QED [17] where energy is coherently exchanged between the internal state and single-photon radiation field. The first blue sideband, at 8 = +co drives transitions between states 11, n) 11, n+l) with Rabi frequency 2 +i = gTi(n+l) . ... 

Fig. 3. P,(t) for a coherent state driven by the first blue sideband interaction, showing collqjse and revival behavior. The data are fitted to a coherent state distribution, yielding (n) = 3.1(1). The inset shows the results of inverting the time-domain data by employing a Fourier cosine transform at the known Rabi firequencies Poissonian distribution, yielding (n) = 2.9(1). Each data...

Rabi flopping frequency Q, sidebands are generated at a>o that have the homogeneous linewidth ys. The superposition of these sidebands (Fig. 3.25) gives a line profile that depends on the ratio 2/ys of the Rabi flopping frequency 2 and the saturated linewidth ys. For a sufficiently strong pump wave (f2 > ys), the separation of the sidebands becomes larger than their width and a dip appears at the center coq. 

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