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Springer eBooks

Quantum correlations in a passive nonlinear optical fiber resonator

Sara Schneider, Edouard Brainis, Marc Haelterman

Published Jan 1, 2003• 1 citation
Publisher
DOI
10.1007/978-1-4419-8907-9_112

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Quantum theory of cross-phase-modulational instability: Twin-beam correlations in a χ(3) process

T. A. B. Kennedy

We consider the quantum correlations between fields generated through cross-phase-modulational instability in an optical fiber. Two examples of this instability are addressed, one relating to the linear-polarization eigenstates in a high-birefringence fiber, and the other to two-color propagation in a fiber. The degrees of second-order coherence of the quantum noise sidebands generated in this ${\mathrm{\ensuremath{\chi}}}^{(3)}$ process are calculated, and the violation of a classical Cauchy-Schwarz inequality and intensity-difference squeezing is reported for light transmitted by a passive filter. Around 50% intensity-difference squeezing is possible in the case of the two-color instability. This illustrates the quantum-statistical nature of the sideband correlations and how passive processing may in some circumstances help accentuate quantum correlations.

Physical Review A•Aug 1, 1991•20 citations
Optical solitons are expected to play a key role in single-mode optical-fiber communication systems. However, they are still degraded by the linear fiber loss. Therefore, in order to be realistically feasible, soliton-based systems will need repeaters to enhance the signal, and, from a practical point of view, optical amplifiers are preferable to electro-optical ones. The use of Raman nonlinearity,1 and, more recently, the use of rare-earth-doped fibers,2 have been proposed for such optical amplification. We have numerically simulated pulse propagation through singlemode silica fibers doped with passive two-level atoms in an attempt to cancel the linear fiber loss by the well known doping resonant nonlinearities. Our first results, from experiments carried out in a variety of circum-stances, indicate that the linear rate of loss may be diminished with a proper choice of parameters but that the doped fiber by itself is unable to support steady propagation.
Optical storage devices are essential elements of future ultra-high bit-rate fiber communications systems in which they will find applications to various vital functions. Pulse pattern storage has been demonstrated in various fiber loop devices [1] that involve pulse control techniques in order to provide timing stability of the bit patterns. Most of these stabilization techniques are based on electrooptic modulation which limits the bit rates to a tenth of Gb/s. Moreover, erasing the data in these storage fiber loops requires switching off the system elect rooptically. Individual bit addressing is therefore impossible, which considerably restricts the functionality of the devices. We investigate here the possibility of developing a new type of all-optical fiber loop storage device. This device consists of a simple nonlinear passive fiber ring resonator synchronously and coherently pumped by a cw mode-locked train of ultrashort pulses. It is well known that this system exhibits rich nonlinear dynamics, in particular, optical bistability which is a feature naturally suited for applications to optical storage. However, erasing the data in an optical bistable element requires to switch off the holding beam and is therefore not practical. Recently, Haelterman et al. [2] have studied the polarization dynamics of nonlinear dispersive ring cavities with cw pump and have shown that these devices exhibit a polarization symmetry breaking characterized by a pitchfork bifurcation. This feature can be applied to the development of a set-reset flip-flop all-optical fiber loop pulsed memory. This work aims at presenting the results of a preliminary investigation of such a storage device.
We consider the quantum correlations between fields generated through cross-phase-modulational instability in an optical fiber. Two examples of this instability are addressed, one relating to the linear-polarization eigenstates in a high-birefringence fiber, and the other to two-color propagation in a fiber. The degrees of second-order coherence of the quantum noise sidebands generated in this ${\mathrm{\ensuremath{\chi}}}^{(3)}$ process are calculated, and the violation of a classical Cauchy-Schwarz inequality and intensity-difference squeezing is reported for light transmitted by a passive filter. Around 50% intensity-difference squeezing is possible in the case of the two-color instability. This illustrates the quantum-statistical nature of the sideband correlations and how passive processing may in some circumstances help accentuate quantum correlations.