Light scattering spectroscopy: A new method for determination of atomic matrix elements

Edward R. Pike, John B. Abbiss

Mark D. Havey

A new approach to precise determination of atomic matrix elements is described whereby measurement of spectral locations of zeros in the Rayleigh scattering cross-section allows frequency-domain extraction of matrix elements in terms of a fiducial quantity. Illustrations are made for scattering off the ground state in Li and Cs.

M. Ya. Agre, Л. П. Рапопорт, M. E. Alferieff

Коровин Константин Олегович, A. A. Veselov, E. M. Mikheev +2 more

The photodissociation of RbI molecules via the second excited state under the action of circularly polarized radiation with a wavelength of 266 nm is studied. By using sub-Doppler Faraday spectroscopy, the angular distributions of the orientation of spins of Rb(5 2 S 1/2 ) atoms formed are studied and the anisotropy parameters describing these angular distributions are determined. Based on the anisotropy parameters, the ratio between the amplitudes of the inelastic scattering matrix elements corresponding to the two possible photodissociation channels is determined to be r Ω=1 / r Ω=0 =0.71±0.15, while the phase difference for these matrix elements is found to amount to Δφ = 173° ± 29°.

R. Purchase

Fathiyya Izzatun Az-zahra, Takeda Shinji, Yamazaki Takeshi

We present a spectroscopy scheme for the lattice field theory by using the tensor renormalization group method combining with the transfer matrix formalism. By using the scheme, we cannot only compute the energy spectrum for the lattice theory but also determine quantum numbers of the energy eigenstates. Furthermore, the wave function of the corresponding eigenstate can also be computed. The first step of the scheme is to coarse grain the tensor network of a given lattice model by using the higher order tensor renormalization group, and then after making a matrix corresponding to a transfer matrix from the coarse-grained tensors, its eigenvalues are evaluated to extract the energy spectrum. Second, the quantum number of the eigenstates can be identified by a selection rule that requires to compute matrix elements of an associated insertion operator. The matrix elements can be represented by an impurity tensor network and computed by the coarse-graining scheme. Moreover, we can compute the wave function of the energy eigenstate by putting the impurity tensor at each point in space direction of the network. Additionally, the momentum of the eigenstate can also be identified by computing appropriate matrix elements represented by the tensor network. As a demonstration of the new scheme, we show the spectroscopy of the (1 + 1)d Ising model and compare it with exact results. We also present a scattering phase shift obtained from two-particle state energy using Luscher's formula.