A diode laser system for spectroscopy of cold Rb atoms is reported. The apparatus is mainly aimed at studying the electromagnetically induced transparency (EIT) in cold environment. The system is based on a rubidium magneto-optical trap (MOT). Two additional extended cavity diode lasers provide the light beams for experimenting, e.g., a coupling- and probe- beam for EIT. The set-up is equipped with channels for detection of absorption and fluorescence. Some system elements of the ones made in our laboratory, in particular, the electronic system for data acquisition and for control of MOT and experiment, are presented in some detail. Records of probe beam absorption spectra of cold Rb, exhibiting profiles due to EIT in multilevel cascade scheme, registered by the use of this apparatus, are presented as an example of the setup performance.
We present a standalone frequency-offset locking system for controlling narrow-linewidth lasers using off-the-shelf electronic components. We lock two frequency-doubled 1560 nm lasers to a stable primary laser operating at 780 nm via their optical beat note. This radio-frequency beat note is fed through a broadband variable divider, a frequency-to-voltage converter, and a proportional-integrator controller to lock each follower laser to a tunable offset frequency relative to the primary. This architecture provides a large capture range (>1 GHz), fast response times (<1 ms), and high linearity. We achieve a frequency resolution of 1.9 kHz and a short-term fractional frequency instability 10−11/τ(s) at 780 nm without the need for a dedicated, precise clock reference. We perform high-resolution spectroscopy of cold 87Rb atoms to demonstrate the tunability and precision of our locking system. We designed the system to be modular and extensible, making it applicable to a wide variety of atomic physics experiments, including laser cooling, spectroscopy, and quantum sensing with atoms, ions, and molecules.
In this paper we study the scattering theory associated with the pseudofermion dynamical theory for the Hubbard chain. In terms of pseudofermions the spectral properties are controlled by zero-momentum forward scattering only. The pseudofermion S matrix is expressed as a commutative product of S matrices, each corresponding to an elementary two-pseudofermion scattering event. This commutative factorization is stronger than the usual factorization associated with Yang-Baxter Equation for the original spin 1/2 electron bare S matrix. Our results reveal the scattering mechanisms which control the exotic finite-energy spectral properties of the low-dimensional complex materials and correlated systems of cold fermionic atoms on an optical lattice. Importantly, the exotic scatterers and scattering centers predicted by the theory were observed by angle-resolved photoelectron spectroscopy in low-dimensional organic metals.