Showing papers by "Kenneth Steiglitz published in 2005"
TL;DR: In this article, a fully quantum mechanical model of two-component Manakov solitons is developed in both the Heisenberg and Schrodinger representations, followed by an analytical, linearized quantum theory of Manakov Solitons in the HOG picture.
Abstract: A fully quantum mechanical model of two-component Manakov solitons is developed in both the Heisenberg and Schrodinger representations, followed by an analytical, linearized quantum theory of Manakov solitons in the Heisenberg picture. This theory is used to analyze the vacuum-induced fluctuations of Manakov soliton propagation and collision. The vacuum fluctuations induce phase diffusion and dispersion in Manakov soliton propagation. Calculations of the position, polarization angle, and polarization state fluctuations show an increase in collision-induced noise with a decrease in the relative velocity between the two solitons, as expected because of an increase in the interaction length. Fluctuations in both the polarization angle and state are shown to be independent of propagation distance, opening up possibilities for communications, switching, and logic, exploiting these properties of Manakov solitons. Calculations of the phase noise reveal, surprisingly, that the collision-induced fluctuations can be reduced slightly below the level of fluctuations in the absence of collision, due to cross-correlation effects between the collision-induced phase and amplitude fluctuations of the soliton. The squeezing effect of Manakov solitons is also studied and proven, unexpectedly, to have the same theoretical optimum as scalar solitons.
19 citations
TL;DR: In this paper, a negative correlation between self-and cross-phase-modulation-induced phase fluctuations was shown to improve the quality of soliton-based quantum nondemolition measurements.
Abstract: We show that soliton collisions can reduce propagation-induced quantum phase noise. This effect originates from a negative correlation between self- and cross-phase-modulation-induced phase fluctuations. Furthermore, we show how this effect can be applied directly to improve the quality of soliton-based quantum nondemolition measurements, simply by adjusting the parameter regime in which the measurement is performed. Optimal implementation, which we show to be technologically feasible, favors short propagation distances, small wavelength separation between solitons, and approximately equal soliton amplitudes.
9 citations
TL;DR: It is demonstrated, numerically, the existence and stability of multicomponent gap solitons in a Kerr nonlinear medium with a superposed grating based on a derived system of coupled-mode equations.
Abstract: We demonstrate, numerically, the existence and stability of multicomponent gap solitons in a Kerr nonlinear medium with a superposed grating based on a derived system of coupled-mode equations Applications to all-optical logic and signal processing are discussed
2 citations
05 Dec 2005
TL;DR: In this article, the authors show that soliton collisions can reduce quantum phase noise, which can improve quantum nondemolition measurements, simply by changing the parameter regime in which the measurement is performed.
Abstract: We show that soliton collisions can reduce quantum phase noise. This effect can improve quantum nondemolition measurements, simply by changing the parameter regime in which the measurement is performed. Successful implementation favors short propagation distances, small wavelength separation between solitons, and larger probe than signal solitons
1 citations
04 Apr 2005
TL;DR: In this article, the authors demonstrate experimentally that collisions between vector solitons involve energy exchange, which could be explored for all-optical signal processing. And they also show how inserting materials that support electro-magnetically induced transparency into microcavities enables design of micro cavities with extraordinarily long lifetimes.
Abstract: We present two potentially interesting new venues in all-optical signal processing. First, we demonstrate experimentally that collisions between vector (Manakov-like) solitons involve energy exchange; this feature could be explored for all-optical signal processing. Second, our detailed theoretical studies show how inserting materials that support electro-magnetically induced transparency into microcavities enables design of microcavities with extraordinarily long lifetimes, and enables all-optical signal processing at single photon power levels.
TL;DR: How the discovery of the correspondence between these domains has reshaped the way people think about the analog and digital worlds and formed the basis of some of the author's later work in DSP audio and music synthesis is described.
Abstract: This paper discusses the isomorphism between the analog and digital signal domains and its implications in terms of technology transfer. The paper describes how the discovery of the correspondence between these domains has reshaped the way people think about the analog and digital worlds and formed the basis of some of the author's later work in DSP audio and music synthesis.