Atom-cavity-field interaction

More specifically, the unique modal field profile and characteristics of the CBNL structure are advantageous for biochemical sensing applications, but also for surface emitting lasers and for studies involving strong atom-field interactions such as nonlinear optics and cavity QED. 

This model may describe, for example, a spin -particle confined to move in a one-dimensional harmonic potential whose spin is subject to a harmonic magnetic field or a two-level atomic system interacting with a single mode of a cavity field. It is of interest here as example of an interaction between a discrete- and a continuous-variable system. 

There have been several proposals to generate the antisymmetric state a) in a system of two identical atoms interacting with a single-mode cavity field. For... 

Our consideration so far have applied to photons in an ideal spherical cavity. Consider now the very important case of interaction between a single atom with electric dipole transition and cavity field in the case of Fabry-Perot resonator formed by two parallel ideal reflecting mirrors. In this case, the cavity field can consist only of the photons propagating along the axis of resonator (z axis) because all other photons should leave the space limited by the mirrors. This means that the cavity photons have well-defined direction and therefore are in a state with given linear momentum (21)-(22). Hence, the radiation emitted by the electric dipole transition consists of the two modes with m = 1, while the radiation of the third mode m 0 is forbidden. In this case, the photons with given helicity can be represented in terms of linearly polarized photons as follows [27] ... 

In Sect. 14.3 we discussed techniques to store and observe single ions in traps. We will now present some recently performed experiments that allow investigations of single atoms and their interaction with weak radiation fields in a microwave resonator [14.127]. The results of these experiments provide crucial tests of basic problems in quantum mechanics and quantum electrodynamics (often labeled cavity QED ). Most of these experiments were performed with alkali atoms. The experimental setup is shown in Fig, 14.48. 

By tracing out the atomic variables, i.e., Pc=TratomP we can obtain the information of the cavity fields. Following the standard techniques for the mixing interactions [4,84] we treat the cavity fields b, bf) linearly. Assuming that the atoms decay much more rapidly than the cavity fields, we can eliminate atomic variables adiabatically and derive the master equation of cavity modes i,2. For the case of Qi/Qomaster equation for Pc has the same form as Eq. (35), and the parameters are the same as in Eq. (36). Also we have taken 713=723=/ and Ki=K2=k for simplicity. The only difference lies in the dressed populations at steady state in the absence of the cavity fields. They are calculated as... 

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