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Title: Geometric phase and entanglement of Raman photon pairs in the presence of photonic band gap

Robustness of the geometric phase (GP) with respect to different noise effects is a basic condition for an effective quantum computation. Here, we propose a useful quantum system with real physical parameters by studying the GP of a pair of Stokes and anti-Stokes photons, involving Raman emission processes with and without photonic band gap (PBG) effect. We show that the properties of GP are very sensitive to the change of the Rabi frequency and time, exhibiting collapse phenomenon as the time becomes significantly large. The system allows us to obtain a state which remains with zero GP for longer times. This result plays a significant role to enhance the stabilization and control of the system dynamics. Finally, we investigate the nonlocal correlation (entanglement) between the pair photons by taking into account the effect of different parameters. An interesting correlation between the GP and entanglement is observed showing that the PBG stabilizes the fluctuations in the system and makes the entanglement more robust against the change of time and frequency.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh (Saudi Arabia)
  2. (Italy)
  3. Department of Physics, University of Malaya, 50603 Kuala Lumpur (Malaysia)
  4. Mathematics Department, Faculty of Science, Sohag University, 82524 Sohag (Egypt)
Publication Date:
OSTI Identifier:
22399350
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 117; Journal Issue: 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTROL; CORRELATIONS; FLUCTUATIONS; GEOMETRY; NOISE; PHOTON EMISSION; PHOTONS; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM SYSTEMS; RAMAN EFFECT; STABILIZATION