Amplified spontaneous emission from superluminescent diodes shows thermal like photon statistics, which has potential applications in precision metrology. We investigate the influence of operating parameters on the degree of second order coherence of the emission.
Developments in quantum technologies lead to new applications that require radiation sources with specific photon statistics. A widely used Poissonian statistics are easily produced by lasers; however, some applications require super- or sub-Poissonian statistics. Statistical properties of a light source are characterized by the second-order coherence function g^(2)(0). This function distinguishes stimulated radiation of lasers with g^(2)(0)=1 from light of other sources. For example, g^(2)(0)=2 for black-body radiation, and g^(2)(0)=0 for single-photon emission. One of the applications requiring super-Poissonian statistics (g^(2)(0)>1) is ghost imaging with thermal light. Ghost imaging also requires light with a narrow linewidth and high intensity. Currently, rather expensive and inefficient light sources are used for this purpose. In the last year, a superluminescent diode based on amplified spontaneous emission (ASE) has been considered as a new light source for ghost imaging. Even though ASE has been widely studied, its photon statistics has not been settled - there are neither reliable theoretical estimates of the second-order coherence function nor unambiguous experimental data. Our computer simulation clearly establishes that coherence properties of light produced by ASE are similar to that of a thermal source with g^(2)(0)=2 independent of pump power. This result manifests the fundamental difference between ASE and laser radiation.
Commercial devices for optical coherence tomography greatly benefit from the exceptional features of broadband light-emitting quantum dot superluminescent diodes (QDSLDs). Here, light generation occurs at the transition from spontaneous to stimulated emission, the regime of the amplified spontaneous emission. In this context, initially spontaneously emitted photons are amplified by stimulated emission processes when traversing through the QDSLD, which leads to strong light amplification. The suitable choice of the waveguide geometry and the gain medium formed by quantum dots, enables large spectral widths of some terahertz combined with a rather higher degree of spatial coherence. Modern measurement methods based on two-photon absorption processes provide a temporal resolution of some femtoseconds and thus allow correlation studies of the emitted QDSLD light. Also from a theoretical point of view, the characterization of the amplified spontaneous emission generated by QDSLDs and their associated photon statistics represents an interesting and challenging research topic. Especially in a particular temperature regime these devices exhibit uncommon properties with regard to the temporal field and intensity correlations: While the field correlation reflects the rather highly incoherent nature of light emitted by QDSLDs due to its spectral width of several THz, a reduction of the second order correlation from 2 to 1.33 at a temperature of T=190K was observed in the Semiconductor Optics group of Prof. W. Elsäßer at the Technical University of Darmstadt in 2011. The understanding of the occurrence of these hybrid coherent light states, which are simultaneously incoherent in first and coherent in second order correlation function is the subject of this thesis. In a first step we find the quantum mechanical light state associated with the QDSLD to be well described by a multimode phase-randomized Gaussian state by comparison with experimental results. In the second step we present a microscopic theory of the amplified spontaneous emission, which allows an explanation of the temperature-dependent noise suppression of broadband QDSLDs. For this purpose we consider distinguishable quantum dots, which are embedded in a strongly absorptive bulk material that defines a waveguide. Tilted and anti-reflection coated output facets, leading to a suppression of longitudinal modes, are modeled by beam splitters that couple the internal field to the surroundings. Regarding the spectral properties of QDSLDs, the broadband light generated inside the diode is described by a multimode electric field. This multimode quantum field theory yields rate equations for the optical power densities and the level occupation of the inhomogeneous ensemble of quantum dots within the diode. With the help of the input-output formalism, we determine the optical power spectrum. As a main result, we find the broadband external power spectrum to be a convolution of the intra-diode photon spectrum with a Lorentzian response. This finding corresponds with experimentally available spectra. Furthermore, based on the quantum theory of QDSLDs we determine the central second-order degree of coherence. It reveals a reduction within a special detuning regime and therefore allows the interpretation of the hybrid coherent light phenomenon from a quantum optical point of view.
Properties of light sources based on amplified spontaneous emission (ASE) are similar to the properties of lasers in many regards. However, even though ASE has been widely studied, its photon statistics have not been settled. There are no reliable theoretical estimates or unambiguous experimental data for the second-order coherence function of photons that characterizes the coherence properties of a light source. Our computer simulation clearly establishes that, independently of pump power, the light produced by ASE is similar to that of a thermal source. This result lays bare the fundamental difference between ASE radiation and laser radiation.
We present joint investigations of relative intensity noise (RIN) and second-order coherence properties of amplified spontaneous emission (ASE) generated by a superluminescent diode. We introduce a generalized intensity noise description for ASE sources that contains the shot noise contribution but also accounts for first- and second-order coherence properties reflecting the process of light generation. We find excellent agreement between pump-current-dependent RIN values and this new description, with the perspective of particular interesting consequences for the realization of low-noise broadband emitters.
We analyze the statistics of photons originating from amplified spontaneous emission generated by a quantum dot superluminescent diode.Experimentally detectable emission properties are taken into account by parametrizing the corresponding quantum state as a multimode phase-randomized Gaussian density operator.The validity of this model is proven in two subsequent experiments using fast two-photon-absorption detection observing second-order equal-time and second-order fully time-resolved intensity correlations on femtosecond timescales.In the first experiment, we study the photon statistics when the number of contributing longitudinal modes is systematically reduced by applying well-controlled optical feedback.In a second experiment, we add coherent light from a single-mode laser diode to quantum dot superluminescent diode broadband radiation.Tuning the power ratio, we realize tailored second-order correlations ranging from Gaussian to Poissonian statistics.Both experiments are very well matched by theory, thus giving first insights into the quantum properties of radiation from quantum dot superluminescent diodes.
We demonstrate experimentally that the first- and second-order coherence properties of light emitted by a quantum dot superluminescent diode can be simultaneously tailored by well-controlled optical feedback. Depending on feedback intensity and feedback spectral range we achieve a spectral width Δλ between 120 and 0.26 nm, corresponding to a coherence length in first order in the range between 13 and 5820 μm, while the central second-order coherence degree g((2))(τ=0) is tuned gradually from a thermal value of g((2))(0)~1.8 down to the coherent laser limit of g((2))(0)=1.0. These results are complemented by comprehensive investigations of relative intensity noise, which are in excellent agreement with the observed intensity correlation behavior.