Geometric phase of a two-level atom near a dissipative and dispersive  dielectric slab

Mohamadi Abdhvand, S; Amooghorban, E; Mahdifar, A

doi:10.47176/ijpr.20.2.12065

Geometric phase of a two-level atom near a dissipative and dispersive dielectric slab

Document Type : Original Article

Authors

S Mohamadi Abdhvand ¹

E Amooghorban ²

A Mahdifar ³

¹ 1. Department of Physics, Faculty of Basic Sciences, Shahrekord University, Shahrekord, Iran

² 1. Department of Physics, Faculty of Basic Sciences, Shahrekord University, Shahrekord, Iran 2. Nanotechnology Research Center, Shahrekord University, Shahrekord, Iran

³ 1. Department of Physics, Faculty of Physics, University of Isfahan, Isfahan, Iran 2. Quantum Optics Group, Faculty of Physics, University of Isfahan, Isfahan, Iran

https://doi.org/10.47176/ijpr.20.2.12065

Abstract

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.

Keywords

geometric phase

surface polariton-phonon

green tensor

lamb shift and transition rates

S Pancharatnam, Pro. Ind. Acad. Sci. A44 (1956) 247.

R W Batterman, Stud. Hist. Philos. Sci. B 34 (2003) 527.
1. Y Aharonov and J Anandan, Phys. Rev. Lett. 38(1988) 1863.
2. M V Berry, Proc. Roy. Soc. Lond. A 392(1984) 45.
3. Y Aharonov and J Anandan, Phys. Rev. Lett. 58 (1987) 1593.

6. P Rahimi, A Mahdifar, and A Amooghorban, Iran. J. Phys. Res. 17, 1(2017) 21.

A Carollo, I Fuentes-Guridi, M F Santos, V Vedral, Phys. Rev. Lett. 90 (2003) 160402.

E Sjoqvist, A K Pati, A Ekert, J S Anandan, M Ericsson, D K L Oi, V. Vedral, Phys. Rev. Lett. 85 (2000) 2845.
1. D M Tong, E Sjoqvist, L C Kwek, C H Oh, Phys. Rev. Lett. 93 (2004) 080405.

10. R Matloob, R Loudon, R Loudon, Phys. Rev. A 52 (1995) 4823.

11. F Kheirandish and E Amooghorban, Phys. Rev. A 82 (2010) 042901.

12. E Amooghorban, M Wubs, N A Mortensen, and F Kheirandish, Phys. Rev. A 84 (2011) 013806.