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Enhancing steady-state entanglement generated by a nondegenerate three-level laser with thermal reservoir. (English) Zbl 1480.81014

Summary: We analyze a nondegenerate three-level cascade laser with an open cavity and coupled to a two-mode thermal reservoir employing the stochastic differential equations for atomic operators associated with the normal ordering. Applying the large-time approximation scheme, we obtain the solutions for the corresponding equations of evolution of the expectation values of atomic operators. Furthermore, employing the resulting solutions, we studied the photon as well as cavity atomic-state entanglement amplification of the cavity radiation.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
78A60 Lasers, masers, optical bistability, nonlinear optics
81S22 Open systems, reduced dynamics, master equations, decoherence
81V45 Atomic physics
35P15 Estimates of eigenvalues in context of PDEs
81V80 Quantum optics
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[1] Scully, M. O.; Zubairy, M. S., Quantum Optics (1997), Cambridge: Cambridge University Press, Cambridge
[2] Kassahun, F., Refind Quantum Analysis of Light (2014), USA: Create Space Independent Publishing Platform, USA
[3] Fesseha, K., Three-level laser dynamics with squeezed light, Physical Review A, 63, 3, article 033811 (2001)
[4] Scully, M. O.; Zubairy, M. S., Noise free amplification via the two-photon correlated spontaneous emission laser, Optics Communication, 66, 303-306 (1988)
[5] Lu, N.; Zhao, F. X.; Bergou, J., Nonlinear theory of a two-photon correlated-spontaneous-emission laser: a coherently pumped two-level-two-photon laser, Physical Review A, 39, 10, 5189-5208 (1989)
[6] Fesseha, K., Stimulated emission by two-level atoms pumped to the upper level, Optics Communication, 284, 5, 1357-1363 (2011)
[7] Ansari, N. A.; Gea-Banacloche, J.; Zubairy, M. S., Phase-sensitive amplification in a three-level atomic system, Physical Review A, 41, 9, 5179-5186 (1990)
[8] Ansari, N. A., Effect of atomic coherence on the second and higher-order squeezing in a two-photon three-level cascade atomic system, Physical Review A, 48, 6, 4686-4696 (1993)
[9] Abebe, T., The quantum analysis of nondegenerate three-level laser with spontaneous emission and noiseless vacuum reservoir, Ukrainian Journal of Physics, 63, 11, 969-978 (2018)
[10] Barnett, S. M.; Radmore, P. M., Methods in Theoretical Quantum Optics (1997), New York: Oxford University Press, New York
[11] Scully, M. O.; Wódkiewicz, K.; Zubairy, M. S.; Bergou, J.; Lu, N.; Meyer ter Vehn, J., Two-photon correlated-spontaneous-emission laser: quantum noise quenching and squeezing, Physical Review Letters, 60, 18, 1832-1835 (1988)
[12] Abebe, T., Enhancement of squeezing and entanglement in a non-degenerate three-level cascade laser with coherently driven cavity, Ukrainian Journal of Physics, 63, 8, 733-739 (2018)
[13] Tesfa, S., Entanglement amplification in a nondegenerate three-level cascade laser, Physical Review A, 74, 4, article 43816 (2006)
[14] Karimi, A.; Tavassoly, M. K., Generation of entangled squeezed states: their entanglement and quantum polarization, Laser Physics, 25, 11, article 115201 (2015) · Zbl 1323.81044
[15] Gashu, C.; Abebe, T., Strongly-entangled twin beams produced by a coherent beat laser coupled to thermal reservoir, Journal of Russian Laser Research, 42, 1-19 (2021)
[16] Gashu, C.; Mosisa, E.; Abebe, T., Entanglement quantification of correlated photons generated by three-level laser with parametric amplifier and coupled to a two-mode vacuum reservoir, Advances in Mathematical Physics, 2020 (2020)
[17] Harms, J.; Chen, Y.; Chelkowski, S.; Franzen, A.; Vahlbruch, H.; Danzmann, K.; Schnabel, R., Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors, Physical Review D, 68, 4, article 042001 (2003)
[18] Abebe, T.; Gemechu, N., Two-level atom with squeezed light from optical parametric oscillators, Ukrainian Journal of Physics, 63, 7, 600 (2018)
[19] Caves, C. M., Quantum-mechanical noise in an interferometer, Physical Review D, 23, 8, 1693-1708 (1981)
[20] Karimi, A.; Tavassoly, M. K., Generation of entangled coherent-squeezed states: their entanglement and nonclassical properties, Quantum Information Processing, 15, 4, 1513-1527 (2016) · Zbl 1338.81057
[21] Karimi, A., Two-mode photon-added entangled coherent-squeezed states: their entanglement and nonclassical properties, Applied Physics B: Lasers and Optics, 123, 6, article 181 (2017)
[22] Xiong, H.; Scully, M. O.; Zubairy, M. S., Correlated spontaneous emission laser as an entanglement amplifier, Physical Review Letters, 94, 2, article 023601 (2005)
[23] Abebe, T.; Gashu, C.; Gemechu, N., Coherently driven number of degenerate three-level atoms with parametric amplifier, Advances in Mathematical Physics, 2020 (2020)
[24] Abebe, T., Coherently driven nondegenerate three-level laser with noiseless vacuum reservoir, Bulgarian Journal of Physics, 45, 4, 357-373 (2018)
[25] Kassahun, F., Fundamentals of Quantum Optics (2008), North Carolina: Lulu, North Carolina
[26] Lu, N.; Zhu, S. Y., Quantum theory of a two-mode two-photon correlated spontaneous-emission laser, Physical Review A, 41, 5, 2865-2868 (1990)
[27] Blockley, C. A.; Walls, D. F., Intensity fluctuations in a frequency down-conversion process with three-level atoms, Physical Review A, 43, 9, 5049-5056 (1991)
[28] Fesseha, K., Three-level laser dynamics with the atoms pumped by electron bombardment, 2012, https://arxiv.org/abs/1105.1438
[29] Agarwal, G. S.; Adam, G., Photon distributions for nonclassical fields with coherent components, Physical Review A, 39, 12, 6259-6266 (1989)
[30] Lu, N.; Zhu, S. Y., Quantum theory of two-photon correlated-spontaneous-emission lasers: exact atom-field interaction Hamiltonian approach, Physical Review A, 40, 10, 5735-5752 (1989)
[31] Alebachew, E., Enhanced squeezing and entanglement in a non-degenerate three-level cascade laser with injected squeezed light, Optics Communications, 280, 1, 133-141 (2007)
[32] Tesfa, S., Dynamics of the cavity radiation of a correlated emission laser initially seeded with a thermal light, Physica Scripta, 84, article 045403 (2011) · Zbl 1263.81327
[33] Gashu, C.; Abebe, T.; Gemechu, N.; Amsalu, J., Continuous-variable entanglement adjustable by phase fluctuation and classical pumping field in a correlated emission laser seeded with squeezed light, Journal of Russian Laser Research, 41, 6, 563-575 (2020)
[34] Einstein, A.; Podolsky, B.; Rosen, R., Can quantum mechanical description of physical reality be considered complete?, Physical Review, 47, 10, 777-780 (1935) · Zbl 0012.04201
[35] Duan, L. M.; Giedke, G.; Cirac, J. J.; Zoller, P., Inseparability criterion for continuous variable systems, Physical Review Letters, 84, 12, 2722-2725 (2000)
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