Specifically, a combination, such like with i = 1..N, n > 2, and , can Gemcitabine cost generate the necessary magnitudes of the characteristic system frequencies Ω 2 and (that, actually, are the corresponding Rabi frequencies), comparable with the given magnitude of the decay coefficient

D. Below we depict the atomic system behavior in the several introduced Selleckchem SCH 900776 above configurations. Note, that the cited thereby Rabi frequencies were calculated in the SI system of units with the following notations: ; the electric permittivity of free space ε 0 ≈ 8.8542 × 10-12 F/m; the speed of light in free space c = 299792458 m/sec; resonant wavelength close to the D 2-line of a sodium atom λ D ≈ 589.29 × 10-9 m; corresponding circular (in radians per second) resonant frequency ; non-diagonal so called ‘transition’ dipole matrix element (in the same order as selleck products for the D 2-line transition, that is about 1 Debye) ρ ex = 1 × 3.33564 × 10-30 C m. For instance, if the available for the system of atoms and field volume has the value equal to V = 0.001 m3, then . Assume, for example,

the available volume V = 10-13 m3 is somehow filled by the set s3a1 with D ≈ 107 rad/sec, initially coupled with one-photon Fock state. Then, , , and . The corresponding graphs for probability to find each atom in the excited state are shown in Figure 1. Figure 1 Time evolution of | β α ( t )| 2 . V = 10 -13 m 3 . Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr 1 = π/6, the dot line is for the space phase kr 2 = 2π/3, and the thin solid line corresponds to kr 3 = π. Let us see what happens when the available volume is increased by one order. This yields V = 10-12 m3 with the same three atoms (D ≈ 107 rad/sec)

of the configuration s3a1. Then, ; and . The corresponding graphs for each atom excited state probability are depicted in Figure 2. Figure 2 Atom excited state probability | β α ( t )| 2 . V = 10 -12 m 3 . Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr 1 = π/6, the dot line is for SPTLC1 the space phase kr 2 = 2π/3, and the thin solid line corresponds to kr 3 = π. Suppose now that the available volume is V = 10-13 m3, somehow filled by the set s5a1 with D ≈ 107 rad/sec initially coupled with one-photon Fock state. Then, ; , and . The corresponding graphs for each atom excited state probability are shown in Figure 3. Figure 3 Atomic excitation probability | β α ( t )| 2 as a function of time. V = 10-13 m3. Atoms are arranged in the set s5a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase k r 1 = 2π/3, the dot line is for the space phase kr 5 = 19π/6, and the thin solid line corresponds to kr 3 = 5π/2. And again, let us see what happens when the available volume is increased by one order.