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- Limits to squeezing in the degenerate optical parametric oscillator
- Chaturvedi, S.; Dechoum, K.; Drummond, P. D.
- We develop a systematic theory of quantum fluctuations in the driven optical parametric oscillator, including the region near threshold. This allows us to treat the limits imposed by nonlinearities to quantum squeezing and noise reduction in this nonequilibrium quantum phase transition. In particular, we compute the squeezing spectrum near threshold and calculate the optimum value. We find that the optimal noise reduction occurs at different driving fields, depending on the ratio of damping rates. The largest spectral noise reductions are predicted to occur with a very high-Q second-harmonic cavity. Our analytic results agree well with stochastic numerical simulations. We also compare the results obtained in the positive-P representation, as a fully quantum-mechanical calculation, with the truncated Wigner phase-space equation, also known as the semiclassical theory.
- Publication type
- Journal article
- Physical Review A, Vol. 65, no. 3 (2002), article no. 033805
- Publication year
- FOR Code(s)
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics; 0204 Condensed Matter Physics; 0205 Optical Physics
- Computer simulation; Hamiltonians; Matrix algebra; Noise abatement; Nonlinear optics; Optical parametric oscillators; Phase space methods; Phase transitions; Random processes; Second harmonic generation; Semiclassical theory; Spectrum analysis; Stochastic numerical simulation; Quantum fluctuation theory; Quantum optics; Quantum phase transition; Quantum squeezing; Quantum theory
- American Physical Society
- Publisher URL
- Copyright © 2002 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.
- Full text
- Peer reviewed