Coherent laser excitation ofBa137andBa

Abstract

Computations are carried out for the 'S(6s )-'P(6s, 6p) coherent laser excitation of ' Ba and ' Ba in a magnetic field. Results are presented for both the steady-state and time-dependent excited-state populations of the Zeeman-split magnetic sublevels. The quantum-statistical Liouville-equation approach (for the reduced density matrix) is compared to the rate-equations approach. Significant differences are found between these, due to the interference between strongly overlapping lines (especially for '"Ba}. The time-evolution profiles indicate that the '"Ba transient time is much longer than that of '"Ba. PACS number(s): 32.80.8x, 32.70.JZ, 42.50.Ar

Polarization characteristics of emission of an ensemble of atoms on coherent excitation in the presence of a strong magnetic field

“…As for the alignment, approximate calculation by formula (16) shows that, at the point χ = π/2, its order of smallness is at least greater than 1/ , which is also in agreement with the results of the numerical calculation.…”

“…As for the integration of the system of matrix equations, the left-hand sides of which contain a matrix of an nth order, it should be noted that the method of reduction of the considered system to a system of ordinary differential equations of an order of n 2 is the universal method. If the coefficients of the matrix on the right-hand sides are independent of time, the system can be integrated using the Laplace transformation or by passing from matrix (i, j = a, b) to matrix ρ = U U † [16], where matrix U is the matrix of eigenvectors of Hamilton operator (11). We integrated system (13) using the series expansion method the implementation of which can be described as follows.…”