Rabi splitting

The intriguing properties of devices made by the combination of a film-forming dye and an optical microstructure turn up in the discovery of strong coupling between excited states and photon modes in microcavities, creating Rabi-splitted polariton modes [211]. They occur in materials with narrow absorption bands (e.g., porphyrins and cyanine dyes) and may pave the way to new laser types and fundamental insights into the interaction of matter and light. 

If the variation of the population as a function of delay time features damped oscillations with Rabi frequency, it is expected to see the Rabi splitting. Can this be observed ... 

V. S. Letokhov In the case of very intense IR fields we should take into consideration the effects of both (1) rearrangement of quantum vibrational levels (e.g., Rabi splittings) and (2) distortion of potential molecular curves. But with such strong IR femtosecond pulses we perhaps cannot ignore the excited electronic states. I believe that a simple molecule can be excited to some higher vibrational levels and subse-quently can be involved in a multiphoton jump to excited electronic states. As a result, it will be difficult to observe the effect of distortion of molecular potential curves. 

The second solution of eqn (10.10) for the region of the Rabi splitting where u> wcav(q) can be found from the equation... 

Thus the cavity polariton dispersion has a simple interpretation. Let us calculate the electric fields from eqn (10.7) for the modes (10.16). Neglecting small terms of the order of q2 /n2, the fields Ei and Et are related in these modes by Ei = —Et cot (p. Then the y-component of the fields Eu,l is equal to zero. In other words, with accuracy up to small terms (of the order of q2 /k2) the total in-plane electric field in the polaritonic modes is parallel to the dipole moment Pi for any direction of the wavevector q, and the value of the Rabi splitting energy thus does not depend on the wavevector direction. 

When the unit cell of an organic crystal contains two or more molecules, the spectrum of the cavity polaritons strongly depends on the relation between (i) the detuning u = coc — u>ly (ii) the energy of the Rabi splittings W1 and W2, and... 

Now let us consider the wavevector broadening of the upper polariton states for large q. At large wavevectors the upper polariton dispersion curve tends to that of the cavity photon, and 5q 7o(A2e63/2/cj2h c3) cavity polariton branch contains the coherent states only. 

Ref. (15) made with the Rabi splitting and detuning 100 meV yielded, for microcavities with disordered organics, /cm n 104 cm-1. Then for the wavepackets satisfying 1 < f3l/2kmin < 10, the characteristic time would be 0.2 < tb < 20 ps and the corresponding velocity 5 108 > Vb > 5 107 cm/s. In our ID numerical example below we will use the value of parameter / within the segment just discussed. 

The exciton-photon interaction is written in such a form that 2y yields the Rabi splitting energy in the perfect system. We chose to use the same number N of photon modes, and the wavevectors k are discrete with 2ir/Na increments. Our approach is to straightforwardly find the normalized polariton eigenstates Tj) (i is the state index) of the Hamiltonian (10.50) and then use them in the site-coordinate representation ... 

The AC Stark effect is relevant, not only in atomic spectroscopy, but also in solid state physics. The biexciton state (or excitonic molecule), where two Wannier excitons are bound by the exchange interaction between electrons, occurs in various semiconductors (see section 2.22). Various experiments on the AC Stark effect of excitons have been reported, but the clearest example to date is probably the observation of the Rabi splitting of the biexciton line in CuC reported by Shimano and Kuwata-Gonokami [477]. It is very interesting to consider how Bloch states in solids, which themselves are delocalised and periodic, are dressed or modified by the electromagnetic field, since their properties are rather different from those of purely atomic states, which are by definition completely localised. 

Fig. 5.9 Saturation broadening and Rabi splitting of double-resonance signals with increasing RF power P...

The Rabi splitting in MCs is enhanced significantly compared to that in bulk making it easier to achieve the desired coupling at practical temperatures. The cavity polaritons feature large and unique optical nonlinearities not achievable in a bulk... 

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