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Chinese Physics B

Effect of the dispersion on multipartite continuous-variable entanglement in optical parametric amplifier

Chao Zhao

Published Mar 31, 2015• 1 citation
Publisher

Abstract

tics by varying the interaction length when pumping a PPLN crystal with fs pulses. (22) We studied the phase mismatched phenomenon resulting from the dispersion effect, by period- ically changing the polarity of crystal to obtain the optimal squeezing condition, and obtained the characteristic of EPR entanglements. (23) In this paper, we discuss the influence of the dispersion effect, find the solution of the time-dependent FPE with the dispersion, and investigate the entanglement characteristics for N = 2-5 partite. The investigation is es- pecially important for the pulse OPO and the quantum charac- teristics of pulse frequency combs.

DOI
10.1088/1674-1056/24/4/040302

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tics by varying the interaction length when pumping a PPLN crystal with fs pulses. (22) We studied the phase mismatched phenomenon resulting from the dispersion effect, by period- ically changing the polarity of crystal to obtain the optimal squeezing condition, and obtained the characteristic of EPR entanglements. (23) In this paper, we discuss the influence of the dispersion effect, find the solution of the time-dependent FPE with the dispersion, and investigate the entanglement characteristics for N = 2-5 partite. The investigation is es- pecially important for the pulse OPO and the quantum charac- teristics of pulse frequency combs.
We present a new analytical solution for Fokker–Planck equation of phase-mismatched frequency non-degenerate optical parametric amplifier (FNOPA). We investigate the squeezing and continuous variable (CV) entanglement characteristic of a FNOPA working at phase-mismatched condition. We numerically calculate the dependence of the CV entanglement on the relative loss parameter ξ and the phase-mismatched parameter η~. The smaller η~ can bring a long-time entanglement. This method can also be applied to multipartite entanglement situation.
We present an analytical solution for Fokker–Planck equation of phase-mismatched frequency non-degenerated optical parametric amplifier (FNOPA). We investigate the continuous-variable (CV) tripartite entanglement characteristic of FNOPA working at phase-matched and phase-mismatched condition. From below threshold to above threshold, we numerically calculate the dependence of CV tripartite entanglement on relative loss parameter η and phase-mismatched factor Δω. The larger η and the smaller Δω can bring a good entanglement.
The multipartite continuous-variable (CV) entanglement characteristic of a multi-mode phased-locked period pumping non-degenerate optical parametric amplification system was investigated for the case when finite bandwidth is considered. A continuously modulated pumping with a sinusoidal envelope can produce an improvement in the minimum values of the multipartite CV entanglement. The minimum variances can be described approximately by the linear theory formula 1/(1+μ). We should take a proper bandwidth Δω in order to obtain a long-term entanglement. The larger values of pump parameter μ and particle number N result in long-term entanglement.
The high peak intensity achieved with ultrashort pump pulses drastically increases the conversion efficiency in spontaneous parametric down-conversion. However, when ultrashort pulses are used, dispersion limits the degree of squeezing. Here, we investigate the effects of dispersion on both quadrature squeezing and photon statistics by varying the interaction length when pumping a periodically poled lithium niobate crystal with femtosecond pulses. The down-converted light in the 1550 nm telecom band attains its maximum observed squeezing level of 3.1 dB for the shortest interaction length. Our photon-statistics measurements agree with the photon-pair distribution going from thermal to Poissonian as the interaction length is increased. This is explained by considering the dispersion-induced distinguishability of the generated photon pairs.