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We demonstrate magic wavelengths, at which external electric field producesnull differential Stark shifts, for the $6s ~ {^2}S_{1/2}-6p ~ {^2}P_{1/2,3/2}$transitions in the Cs atom due to circularly polarized light. In addition, wealso obtain magic wavelengths using linearly polarized light, in order toverify the previously reported values, and make a comparative study with thevalues obtained for circularly polarized light. A number of these wavelengthsare found to be in the optical region and could be of immense interest toexperimentalists for carrying out high precision measurements. To obtain thesewavelengths, we have calculated dynamic dipole polarizabilities of the ground,$6p ~{^2}P_{1/2}$ and $6p ~{^2}P_{3/2}$ states of Cs. We use the availableprecise values of the electric dipole (E1) matrix elements of the transitionsthat give the dominant contributions from the lifetime measurements of theexcited states. Other significantly contributing E1 matrix elements areobtained by employing a relativistic coupled-cluster singles and doublesmethod. The accuracies of the dynamic polarizabilities are substantiated bycomparing the static polarizability values with the corresponding experimentalresults.

Comparing magic wavelengths for the $6s ~ {^2}S_{1/2}-6p ~ {^2}P_{1/2,3/2}$ transitions of Cs using circularly and linearly polarized light