Geometric phase for a two-level system in photonic band gab crystal. (May 2018)

• Record Type: Journal Article
• Authors: Berrada, K.
• Is Part Of: Solid state communications. Volume 273(2018)
• Page Start: 34
• Page End: 38
• Publication Date: 2018-05
• Subjects: A. Solid state systems -- B. Photonic crystals -- C. Geometric phase -- D. Detuning parameter; Solid state chemistry -- Periodicals; Solid state physics -- Periodicals; Chimie de l'état solide -- Périodiques; Physique de l'état solide -- Périodiques; 530.41
• DOI: 10.1016/j.ssc.2017.11.013
• Languages: English
• ISSNs: 0038-1098

Abstract

Abstract: In this work, we investigate the geometric phase (GP) for a qubit system coupled to its own anisotropic and isotropic photonic band gap (PBG) crystal environment without Born or Markovian approximation. The qubit frequency affects the GP of the qubit directly through the effect of the PBG environment. The results show the deviation of the GP depends on the detuning parameter and this deviation will be large for relatively large detuning of atom frequency inside the gap with respect to the photonic band edge. Whereas for detunings outside the gap, the GP of the qubit changes abruptly to zero, exhibiting collapse phenomenon of the GP. Moreover, we find that the GP in the isotropic PBG photonic crystal is more robust than that in the anisotropic PBG under the same condition. Finally, we explore the relationship between the variation of the GP and population in terms of the physical parameters. Highlights: Geometric Phase in quantum solid states. Photonic band gab effect (PBG) on the geometric phase. Anisotropic and isotropic PBG cases. Collapse phenomenon of the geometric phase. Variation of the geometric phase and population in terms of the physical parameters.