Spontane Strahlung eines Zwei‐Atom‐Systems

Abstract

The method of "many-centers-quantization" developed in a foregoing paper [l] is used to solve the decay problem of two atoms with various initial states. Especially the angular distributions and angular correlations are given.

Cooperative Spontaneous Emission from an Initially Fully Excited System of Three Identical Two‐level Atoms

“…I n this paper we investigate the directional properties of the radiation emitted by three identical initially excited two-level atoms. As is well known [8,9,131, the angular distribution for the total number of photons emitted by a two-atom system shows no difference to the single-atom characteristic, i.e. there is no preference of the line joining the two atoms, as might be expected.…”

“…and Now t,he positive frequency part of the electric field operator E(+)(r, t ) in the wave zone is composed of the vacuum field E,!-p)(r, t ) and the one-atom contributions EL+)(r, t ) ~~2 9 1 3 p = l E ( + ) ( r , t ) = Eh+)(r, t ) + 2 E$+)(r, t ) , (8) [ ; x [;xdll Ei:)(r, t ) = -kz d r (9) Since the field is initially in the vacuum state the vacuum part does not contribute to the expectation value of the normally ordered correlation operators (6), (7) and we get the following expressions for the intensity 23 7 3 jI,v=l G(')(i, t ) = I(;, t ) = 2yu(i.) 2 (a,+(t) a,(t)) exp (ikxpvi) Q(2)(;1, t ; i 2 , t ) = 4 y 2 U ( i l ) u(Q c (n,(t) n,(t)> (1 + cos [kxpv(il -; 2)1) (10) and the normally ordered one-time intensity correlation function…”

“…. ' a a ) y i 2 = e z .,., z 9. where henceforth we use the notation e33 = Q~~~,~,~,~;~,~,~~~,~ etc.…”

“…where henceforth we use the notation e33 = Q~~~,~,~,~;~,~,~~~,~ etc. Then the equations for the time evolution of the density matrix elements read: YCS = (Qii, + @pi) ; Y~Z = ( e i i p -Qi'i)9 being the 4 x 4 unit matrix. The inhomogeneous column vectors Zi = {Iii} have the components = -'+(I 4-pe3) (en2,e 2 F y ) .…”