The Effect of Superposition on the Quantum Features of the Cavity Radiation of a Three-Level Laser
DOI:
https://doi.org/10.15407/ujpe66.9.761Keywords:
superposition, squeezing, photon statisticsAbstract
We study the statistical and squeezing properties of the cavity light produced by a degenerate three-level laser with the use of the solution of the pertinent quantum Langevin equation. Moreover, applying the density operator to the cavity radiation superposition, we investigated the quantum properties of the superposed cavity light beams generated by a pair of degenerate three-level lasers. Superposing the cavity radiation increases the mean and the variance of the photon number without affecting the quadrature squeezing. It is observed that the degree of squeezing of the separate cavity radiation, as well as the superposed cavity radiation, increases with the rate at which the atoms are injected into the cavity. We have also shown that the mean photon number of the superposed cavity radiation is the sum of the mean photon numbers of the individual cavity radiation. However, the variance of the photon number of the superposed cavity radiation turns out to be four times that of the component cavity radiation.
References
Fesseha Kassahun. Refined Quantum Analysis of Light (Create Space Independent Publishing Platform, 2014).
M.O. Scully, K. Wodkiewicz, M.S. Zubairy, J. Bergou, N. Lu, J. Meyer ter Vehn. Two-photon correlated-spontaneous emission laser. Quantum noise quenching and squeezing. Phys. Rev. Lett. 60, 1832 (1988).
https://doi.org/10.1103/PhysRevLett.60.1832
K. Fesseha. Three-level laser dynamics with squeezed light. Phys. Rev. A 63, 033811 (2001).
https://doi.org/10.1103/PhysRevA.63.033811
N. Lu, F. Zhao, J. Bergou. Nonlinear theory of a two-photon correlated-spontaneous-emission laser: A coherently pumped two-level-two-photon laser. Phys. Rev. A 39, 5189 (1989).
https://doi.org/10.1103/PhysRevA.39.5189
N. Lu, S. Zhu. Quantum theory of two-photon correlatedspontaneous-emission lasers. Exact atom-field interaction Hamiltonian approach. Phys. Rev. A 40, 5735 (1989).
https://doi.org/10.1103/PhysRevA.40.5735
S. Tesfa. Entanglement amplification in a nondegenerate three-level cascade laser. Phys. Rev. A 74, 043816 (2006).
https://doi.org/10.1103/PhysRevA.74.043816
T. Abebe. Enhancement of squeezing and entanglement in a non-degenerate three-level cascade laser with coherently driven cavity. Ukr. J. Phys. 63, 733 (2018).
https://doi.org/10.15407/ujpe63.8.733
D. Ayehu. Quantum properties of correlated emission laser with dephasing and phase fluctuation. Results in Physics 28, 104567 (2021).
https://doi.org/10.1016/j.rinp.2021.104567
E. Alebachew, K. Fesseha. A degenerate three-level laser with a parametric amplifier. Opt. Commun. 265, 314 (2006).
https://doi.org/10.1016/j.optcom.2006.03.017
D. Ayehu. Squeezing and entanglement properties of the cavity light with decoherence in a cascade three-level laser. J. Russ. Laser Res. 42, 136 (2021).
https://doi.org/10.1007/s10946-021-09942-9
N.A. Ansari. Effect of atomic coherence on the second-and higher-order squeezing in a two-photon three-level cascade atomic system. Phys. Rev. A 48, 4686 (1993).
https://doi.org/10.1103/PhysRevA.48.4686
N.A. Ansari, J. Gea-Banacloche, M.S. Zubairy. Phasesensitive amplification in a three-level atomic system. Phys. Rev. A 41, 5179 (1990).
https://doi.org/10.1103/PhysRevA.41.5179
M. Molla Gessesse. The noise effect of vacuum reservoir on the dynamics of three-level laser pumped by coherent light. Ukr. J. Phys. 65, 385 (2020).
https://doi.org/10.15407/ujpe65.5.385
F. Kassahun. Three-level laser dynamics with the atoms pumped by electron bombardment. https://arXiv:1105.1438v3 quant-ph (2012).
S. Lloyd, S.L. Braunstein. Quantum computation over continuous variables. Phys. Rev. Lett. 82, 1784 (1999).
https://doi.org/10.1103/PhysRevLett.82.1784
C.M. Caves. Quantum-mechanical noise in an interferometer. Phys. Rev. D 23, 1693 (1981).
https://doi.org/10.1103/PhysRevD.23.1693
J.M. Xiao, L.A. Wu, H.J. Kimble. Precision measurement beyond the shot-noise limit. Phys. Rev. Lett. 59, 276 (1987).
https://doi.org/10.1103/PhysRevLett.59.278
E. Alebachew. Bright entangled light from two-mode cascade laser. Opt. Commun. 281, 6124 (2008).
https://doi.org/10.1016/j.optcom.2008.08.052
M.O. Scully. Correlated spontaneous-emission lasers: Quenching of quantum fluctuations in the relative phase angle. Phys. Rev. Lett. 55, 2802 (1985). https://doi.org/10.1103/PhysRevLett.55.2802
B. Bashu, F. Kassahun. Quadrature squeezing in the cavity mode driven by coherent light and interacting with twolevel atom. Int. J. Mol. Theor. Phys. 3, 1 (2019).
G.J. Milburn, D.F. Walls. Production of squeezed states in a degenerate parametric amplifier. Opt. Commun. 39, 401 (1981). https://doi.org/10.1016/0030-4018(81)90232-7
D.F. Walls, G.J. Milburn. Quantum Optics. (Springer, 1995). https://doi.org/10.1007/978-3-642-79504-6_17
E. Alebachew. Enhanced squeezing and entanglement in a non-degenerate three-level cascade laser with injected squeezed light. Opt. Commun. 280, 133 (2007). https://doi.org/10.1016/j.optcom.2007.08.017
Marlan O. Scully, M. Suhail Zubairy. Quantum Optics (Cambridge Univ. Press, 1997). https://doi.org/10.1017/CBO9780511813993
S.M. Barnett, P.M. Radmore. Methods in Theoretical Quantum Optics (Oxford Univ. Press, 1997).
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