On the efficiency of 1D atom localisation via EIT in a degenerate two-level atomic system

We analyse one-dimensional (1D) subwavelength atom localisation in a cold atomic medium under the action of two optical fields, the standing-wave and travelling probe fields, in the presence of a magnetic field. Optical Bloch equations are solved numerically for the hyperfine atomic transition of the 87Rb D1 line. All Zeeman sublevels are included in the calculations. This atomic scheme allows electromagnetically induced transparency (EIT) if the applied magnetic field is zero or small. The results for the position-dependent probe absorption are presented for two configurations, depending on the orientation of the magnetic field with respect to the optical fields' polarisations. The efficiency of the atom localisation is analysed for a large range of field intensities and applied magnetic fields. The observed behaviour of the probe absorption is analysed through the effects of EIT induced by two fields of various strengths and its dependence on the applied magnetic fields.