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Roldán E, Valcárcel GJD, Vilaseca R, Corbalán R, Martínez VJ, Gilmore R. The dynamics of optically pumped molecular lasers. On its relation with the Lorenz - Haken model. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/1355-5111/9/1/001] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Lu W, Yu D, Harrison RG. Control of patterns in spatiotemporal chaos in optics. PHYSICAL REVIEW LETTERS 1996; 76:3316-3319. [PMID: 10060936 DOI: 10.1103/physrevlett.76.3316] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Tang DY, Li MY, Malos JT, Heckenberg NR, Weiss CO. Subtleties of the period-doubling chaos of an optically pumped NH3 single-mode ring laser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:717-725. [PMID: 9912296 DOI: 10.1103/physreva.52.717] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Shiping Y, Gang H, Shushan X. Codimension-two two-hard-mode bifurcation and coexistence of multiple attractors in a two-photon laser with an injected signal. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:3966-3972. [PMID: 9910694 DOI: 10.1103/physreva.49.3966] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Elston TC, Fox RF. Enhanced quantum fluctuations in a chaotic single mode ammonia laser. CHAOS (WOODBURY, N.Y.) 1994; 4:1-13. [PMID: 12780080 DOI: 10.1063/1.166051] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
A detailed study of the effects of quantum fluctuations in a chaotic single mode laser is presented. It has been well established that the linear noise approximation eventually becomes invalid for the case of chaotic dynamics. A more accurate description of the laser is achieved through use of nonlinear Langevin equations. Simple expressions for the time evolution of the phases of the electric field and polarization are derived. These expressions predict that chaotic dynamics will greatly enhance phase diffusion. This prediction is verified through numerical simulations. A quantitative method, for determining the amount of amplification of quantum noise by chaos is discussed. This method makes use of a metric introduced in symbolic dynamics. The fluctuations are shown to have been amplified by over two orders of magnitude, making them macroscopically visible.
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Affiliation(s)
- T. C. Elston
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332
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Tang DY, Weiss CO. Uniqueness of the chaotic attractor of a single-mode laser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1296-1300. [PMID: 9910363 DOI: 10.1103/physreva.49.1296] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Corbalán R, Vilaseca R, Arjona M, Pujol J, Roldán E. Dynamics of coherently pumped lasers with linearly polarized pump and generated fields. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:1483-1496. [PMID: 9909753 DOI: 10.1103/physreva.48.1483] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Bakasov AA, Abraham NB. Laser second threshold: Its exact analytical dependence on detuning and relaxation rates. PHYSICAL REVIEW A 1993; 48:1633-1660. [PMID: 9909768 DOI: 10.1103/physreva.48.1633] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Roldán E, Vilaseca R, Mandel P. Single-mode-laser phase dynamics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:591-598. [PMID: 9909632 DOI: 10.1103/physreva.48.591] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Vohra ST, Bucholtz F. Dynamic characteristics of a subcritical bifurcation with inversion symmetry. PHYSICAL REVIEW LETTERS 1993; 70:1425-1428. [PMID: 10053289 DOI: 10.1103/physrevlett.70.1425] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Zeghlache H, Zehnlé V. Theoretical study of a laser with injected signal. I. Analytical results on the dynamics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:6015-6027. [PMID: 9908858 DOI: 10.1103/physreva.46.6015] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Balle S, Abraham NB. Statistics of the transient frequency modulation in the switch-on of a single-mode semiconductor laser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:1955-1966. [PMID: 9907184 DOI: 10.1103/physreva.45.1955] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ciuchi S, Abraham NB. Phase and amplitude correlations induced by the switch-on chirp of a detuned laser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:7657-7668. [PMID: 9905905 DOI: 10.1103/physreva.44.7657] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Tang DY, Li MY, Weiss CO. Field dynamics of a single-mode laser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:7597-7604. [PMID: 9905898 DOI: 10.1103/physreva.44.7597] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ning CZ, Haken H. Phase anholonomy in dissipative optical systems with periodic oscillations. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:6410-6413. [PMID: 9904981 DOI: 10.1103/physreva.43.6410] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lu W, Harrison RG. Nonlinear dynamics of Raman lasers. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:6358-6367. [PMID: 9904969 DOI: 10.1103/physreva.43.6358] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Mandel P, Pettiaux NP, Kaige W, Galatola P, Lugiato LA. Periodic attractors in two-photon processes. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:424-432. [PMID: 9904795 DOI: 10.1103/physreva.43.424] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Quasiperiodicity involving twin oscillations in the complex Lorenz equations describing a detuned laser. ACTA ACUST UNITED AC 1990. [DOI: 10.1007/bf01390829] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Arjona M, Corbalan R, Laguarta F, Pujol J, Vilaseca R. Influence of light polarization on the dynamics of optically pumped lasers. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:6559-6562. [PMID: 9903065 DOI: 10.1103/physreva.41.6559] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Vilaseca R, Roldán E. Physical interpretation of laser phase dynamics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:5269-5272. [PMID: 9903766 DOI: 10.1103/physreva.41.5269] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Ning C, Haken H. Detuned lasers and the complex Lorenz equations: Subcritical and supercritical Hopf bifurcations. PHYSICAL REVIEW A 1990; 41:3826-3837. [PMID: 9903557 DOI: 10.1103/physreva.41.3826] [Citation(s) in RCA: 156] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Hübner U, Abraham NB, Weiss CO. Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 40:6354-6365. [PMID: 9902029 DOI: 10.1103/physreva.40.6354] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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D'Alessandro G, Politi A, Arecchi FT. Phase diffusion in chaotic laser dynamics. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 40:5464-5467. [PMID: 9902829 DOI: 10.1103/physreva.40.5464] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Weiss CO, Klische W, Abraham NB, H�bner U. Comparison of NH3 laser dynamics with the extended lorenz model. ACTA ACUST UNITED AC 1989. [DOI: 10.1007/bf00714638] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Hu G, Yang GJ. Codimension-three bifurcation point in a laser system with an injected signal. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 40:834-843. [PMID: 9902210 DOI: 10.1103/physreva.40.834] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Weiss CO, Abraham NB, Hübner U. Homoclinic and heteroclinic chaos in a single-mode laser. PHYSICAL REVIEW LETTERS 1988; 61:1587-1590. [PMID: 10038844 DOI: 10.1103/physrevlett.61.1587] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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