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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Measurement of photon distribution in attenuated diode laser pulses

Liantuan Xiao, Romain Alléaume, Xuan Quyen Dinh, François Treussart, Bernard A. Journet, Jean-François Roch

Published Jul 23, 2003• 4 citations
Publisher

Abstract

Faint laser pulses are practical signal sources in quantum key distribution. The photon statistics has been measured by recording every photo-counts moment and leading directly to the Mandel parameter of the photon distribution. Two different types operation of a single mode laser diode have been considered: either direct pulsing of the driving current or CW emission followed by pulse-shaping using an acousto-optic modulator. In both cases, it has been found that for practical attenuations, the photon distribution in each light pulse follows a poissonian statistics.

DOI
10.1117/12.474380

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Faint laser pulses are practical signal sources in quantum key distribution. The photon statistics has been measured by recording every photo-counts moment and leading directly to the Mandel parameter of the photon distribution. Two different types operation of a single mode laser diode have been considered: either direct pulsing of the driving current or CW emission followed by pulse-shaping using an acousto-optic modulator. In both cases, it has been found that for practical attenuations, the photon distribution in each light pulse follows a poissonian statistics.
Developing the ability to characterize photon statistics of light sources has been one of the important driving forces of Quantum Optics. Photon statistics is also a crucial parameter to evaluate of quantum key distribution security. As practical quantum cryptographic systems encode information on faint laser pulses, we present a simple method to measure and calibrate their intensity noise with respect to shotnoise reference. The technique is based on the record of photodetection timetags in the photon counting regime. Two different methods are considered to produce light pulse: first, direct pulsing of a laser diode driving current, second, chopping the CW laser beam emitted by a laser diode with an acousto-optical modulator. As predicted by basic Quantum Optics theory, levels of attenuation used in practical quantum key distribution systems lead in both cases to Poissonian photon number distribution in the generated light pulses.
The direct measurement of the Mandel parameter of weak laser pulses, with 10 ns pulse duration time and the mean number of photon per pulse nˉ\bar nnˉ being approximately 0.1, is investigated by recording every photocount event. With the Hanbury Brown and Twiss detection scheme, and not more than one photon per pulse being detected during the sample time by single-photon counters, we have found that the single mode diode laser with driving current lower than the threshold yields a sub-Poissonian statistics. In addition, when the diode laser driving current is much higher than the threshold, it is validated that the Mandel parameterQ C of the Poissonian coherent state is nearly −nˉ/2 - \bar n/2−nˉ/2 . The experimental results are in good agreement with theoretical prediction considering the measurement error.
The direct measurement of the Mandel para-meter of weak laser pulses, with 10 ns pulse duration timeand the mean number of photon per pulse h-being approxi-mately 0.1, is investigated by recording every photocountevent. With the Hanbury Brown and Twiss detection scheme,and not more than one photon per pulse being detected dur-ing the sample time by single-photon counters, we havefound that the single mode diode laser with driving currentlower than the threshold yields a sub-Poissonian statistics. Inaddition, when the diode laser driving current is muchhigher than the threshold, it is validated that the Mandelparameter Qc of the Poissonian coherent state is nearly-n/2. The experimental results are in good agreement withtheoretical prediction considering the measurement error.
We report measurement of the photon-counting distributions of nanosecond-duration light pulses. Photon counting is performed on light sources with widely different photon statistics, such as (1) a Q-switched Nd:YAG-laserpumped dye laser operating well above threshold and producing single-mode nanosecond pulses, (2) the same laser operating close to threshold, and (3) a rotating ground-glass aberrator illuminated by the laser pulses of case (1). The method is particularly suitable for the investigation of the statistics of light generated by the nonlinear interaction of radiation with matter.
Among various implementations of single-photon sources, faint-pulse single-photon sources provide a simple and practical approach based on attenuated coherent laser pulses. This work presents an experimental realization of a faint-pulse single-photon source using a 785-nm Grating Stabilized Laser Diode system, driven by a laser diode controller and modulated by a Field Programmable Gate Array (FPGA). The system's performance was evaluated by analyzing the photon detection rate as a function of pulse width and driving current. Results indicated a linear relationship between the single-photon detection rate and pulse width and an exponential dependence on driving current. The system achieved a photon emission probability of 10% per pulse, aligning with the requirements of practical quantum key distribution systems. This implementation demonstrates a cost-effective, scalable, and accessible platform for single-photon experiments, providing a foundation for future implementations of quantum communication protocols.
Key distribution system using faint laser is very likely to become the first application exploiting the particular properties of single quanta called photons. In experimental key distribution system, it is highly demanded to use single-photon source for secure key distribution. Since there is not yet a laser source capable of producing such faint state, most experiments uses low coherent pulse laser, which is attenuated to produce a mean photon number mu. In this paper, we present an experimental setup to determine the mean photon number using a 300-ps low coherent pulse laser at 1550 nm for a practical crypto system. We will also present the effect of trigger frequency, detection efficiency and dark counts on average photon counts.