The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 20 2 2020 08 22 Geometric phase of a two-level atom near a dissipative and dispersive dielectric slab Geometric phase of a two-level atom near a dissipative and dispersive dielectric slab 235 244 1612 10.47176/ijpr.20.2.12065 FA S Mohamadi Abdhvand 1. Department of Physics, Faculty of Basic Sciences, Shahrekord University, Shahrekord, Iran E Amooghorban 1. Department of Physics, Faculty of Basic Sciences, Shahrekord University, Shahrekord, Iran 2. Nanotechnology Research Center, Shahrekord University, Shahrekord, Iran 0000-0003-4035-0366 A Mahdifar 1. Department of Physics, Faculty of Physics, University of Isfahan, Isfahan, Iran 2. Quantum Optics Group, Faculty of Physics, University of Isfahan, Isfahan, Iran Journal Article 2019 09 30 In this paper, we study the geometric phase of a two-level atom near a dielectric slab. For this purpose, by applying the Von-Neumann equation, we obtain eigenvalues and eigenvectors of the reduced density operator of the atomic system. Then, we obtain the Lamb shift and transition rates of the atomic system in term of the electromagnetic Green tensor. Finally, by calculating the electromagnetic Green tensor of the system and making use of the kinematic approach, we study the geometric phase of the atomic system near the dielectric slab. We show that the geometric phase can be used as a sensitive probe to the surface-phonon polariton waves. In this paper, we study the geometric phase of a two-level atom near a dielectric slab. For this purpose, by applying the Von-Neumann equation, we obtain eigenvalues and eigenvectors of the reduced density operator of the atomic system. Then, we obtain the Lamb shift and transition rates of the atomic system in term of the electromagnetic Green tensor. Finally, by calculating the electromagnetic Green tensor of the system and making use of the kinematic approach, we study the geometric phase of the atomic system near the dielectric slab. We show that the geometric phase can be used as a sensitive probe to the surface-phonon polariton waves. https://ijpr.iut.ac.ir/article_1612_52947e0ade57a09e4a1386d08f17b656.pdf