Entanglement Correlation from a Non-degenerate Three-Level Laser with a Parametric Amplifier and Coupled to Vacuum Reservoir
Article Sidebar
Main Article Content
Abstract
The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, μ = 0.16 and for thermal reservoir nth = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 70%.
Downloads
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
How to Cite
References
K. Fesseha, “Three-level laser dynamics with squeezed light,” Physical Review A, vol. 63, no. 3, article 033811, 2001. [CrossRef]
J. Anwar and M. S. Zubairy, “Quantum-statistical properties of noise in a phase-sensitive linear amplifier,” Physical Review A, vol. 49, no. 1, pp. 481–484, 1994. View at: Publisher Site | Google Scholar [CrossRef]
N. A. Ansari, “Effect of atomic coherence on the second and higher-order squeezing in a two-photon three-level cascade atomic system,”Physical Review A, vol. 48, no. 6, pp. 4686–4696, 1993 [CrossRef]
B. Daniel and K. Fesseha, “The propagator formulation of the degenerate parametric oscillator,” Optics Communications, vol. 151, no. 4–6, pp. 384–394, 1998. [CrossRef]
B. Teklu, “Parametric oscillation with the cavity mode driven by coherent light and coupled to a squeezed vacuum reservoir,” Optics Communications, vol. 261, no. 2, pp. 310–321, 2006. [CrossRef]
R. Simon, “Peres-horodecki separability criterion for continuous variable systems,” Physical Review Letters, vol. 84, no. 12, pp. 2726–2729, 2000. [CrossRef]
L. M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Inseparability criterion for continuous variable systems,” Physical Review Letters, vol. 84, no. 12, pp. 2722–2725, 2000. [CrossRef]
Z. Ficek and P. D. Drummond, “Three-level atom in a broadband squeezed vacuum field. II. Applications,” Physical Review A, vol. 43, no. 11, pp. 6258–6271, 1991. [CrossRef]
M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge, 1997. [CrossRef]
C. A. Blockley and D. F. Walls, “Intensity fluctuations in a frequency down-conversion process with three-level atoms,” Physical Review A, vol. 43, no. 9, pp. 5049–5056, 1991 [CrossRef]
S. M. Barnett and M. Radmore, Methods in Theoretical Quantum Optics, (Clarendon Press, Oxford, 1997).
N. Lu, F. X. Zhao, and J. Bergou, “Nonlinear theory of a two photon correlated-spontaneous-emission laser: a coherently pumped two-level-two-photon laser,”Physical Review A, vol. 39, no. 10, pp. 5189–5208, 1989 [CrossRef]
K. Fesseha, “Three-level laser dynamics with the atoms pumped by electron bombardment,”2012, https://arxiv.org/ abs/1105.1438.
K. Dechoum, P. D. Drummond, S. Chaturvedi, and M.D.Reid,Phys. Rev. A 70,053807 (2004). [CrossRef]
Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. Peng, Phys.Rev. A 62, 023813(2000). [CrossRef]
H. Xiong, M. O. Scully, and M. S. Zubairy, “Correlated spontaneous emission laser as an entanglement amplifier,”Physical Review Letters, vol. 94, no. 2, article 023601, 2005. [CrossRef]
T. Y. Darge and F. Kassahun, “Coherently driven degenerate three-level laser with parametric amplifier,” PMC Physics B, vol. 3, p. 1, 2010. [CrossRef]
H. Jeong, J. Lee, and M. S. Kim, “Dynamics of nonlocality for a two-mode squeezed state in a thermal environment,” Physical Review A, vol. 61, no. 5, article 052101, 2000. [CrossRef]
S. Tesfa, “Entanglement amplification in a nondegenerate three-level cascade laser,”Physical Review A, vol. 74, no. 4, article 43816, 2006. [CrossRef]
J M Liu, B S Shi, X F Fan, J Li and G C Guo. Wigner function description of continuous variable entanglement swapping. J. Opt. B: Quant. Semiclass. Opt. 3, 189 (2001). [CrossRef]
S L Braunstein and H J Kimble. Dense coding for continuous variables. Phys. Rev. A 61, 42302 (2000). [CrossRef]
S Lloyd and S L Braunstein. Quantum Computation over Continuous Variables. Phys. Rev. Lett. 82, 1784 (1999). [CrossRef]
S L Braunstein. Quantum error correction for communication with linear optics. Nature 394, 47 (1998). [CrossRef]
T C Ralph. Continuous variable quantum cryptography. Phys.Rev.A 61,010302 (2000). [CrossRef]
Solomon Getahun, Fundamental Journal Modern Physics, Vol. 8, issue 1, (2015)
F. Kassahun, Refind Quantum Analysis of Light, Create Space Independent Publishing Platform, USA, 2014.
M. O. Scully and M. S. Zubairy, “Noise free amplification via the two-photon correlated spontaneous emission laser,”Optics Communication, vol. 66, pp. 303–306, 1988. [CrossRef]
J. Audretsch, Entangled Systems: New Directions in Quantum Physics (Whiley-VCH, Weinheim, 2007). [CrossRef]
Anandan*, Dr. K., & Rajendran, Dr. V. (2020). Size and Magnetic Effect of Manganese (Mn) Doped Zirconia (Zro2) Nanoparticles. In International Journal of Innovative Technology and Exploring Engineering (Vol. 9, Issue 4, pp. 257–260). Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP. https://doi.org/10.35940/ijitee.d1350.029420
Singh*, G., & Singh, A. (2020). A modified Particle Swarm Optimization Algorithm to solve Time Minimization Transportation Problem. In International Journal of Recent Technology and Engineering (IJRTE) (Vol. 8, Issue 5, pp. 3686–3693). Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP. https://doi.org/10.35940/ijrte.e6606.018520
Durai, L. J., & Vijayakumar, J. (2020). Quantum-Assisted Retinal Drusen Detection Algorithm using Entropy Based Image Processing Techniques. In International Journal of Engineering and Advanced Technology (Vol. 9, Issue 3, pp. 2251–2256). Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP. https://doi.org/10.35940/ijeat.c5781.029320