Abstract
Noise-sustained patterns have been predicted in several optical systems including cavities filled with Kerr media and Optical Parametric Oscillators [1, 2]. In OPO’s, due to birefringence, walk-off between pump and signal appears. This walk-off is responsible for the existence of a convective regime, in which a transverse pattern arises as a macroscopic manifestation of amplified and spatially structured quantum noise, with magnification factors of several orders of magnitudes. These noise-sustained structures are interesting candidates for the study of quantum correlations at a macroscopic level. However, standard methods to calculate quantum fluctuations are not helpful in this situation. Linearization schemes, usually invoked to use a positive-definite Wigner distribution, can not be applied since the reference state is unstable and fluctuations are amplified. P-positive representation is also not useful because of trajectories which diverge from the reference unstable state.
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References and links
M. Santagiustina, P. Coler, M. San Miguel, and D. Walgraef, “Noise-sustained convective structures in nonlinear optics” Phys. Rev. Lett. 79, 3633 (1997)
M. Santagiustina, P. Coler, M. San Miguel, and D. Walgraef, “Two-dimensional noise-sustained structures ill optical parametric oscillators,” Phys. Rev. E 58, 3843 (1998).
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Zambrini, R., Barnett, S.M., San Miguel, M., Colet, P. (2003). Optical Patterns Sustained by Quantum Noise. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_150
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DOI: https://doi.org/10.1007/978-1-4419-8907-9_150
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