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arXiv:1412.6375 · New Journal of Physics

Tailored quantum statistics from broadband states of light

S Hartmann, F Friedrich, A Molitor, Moritz Reichert, W Elsäßer, R. Walser

Published Apr 20, 2015• 14 citations
arXivHTMLPDF

Abstract

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.

DOI
10.1088/1367-2630/17/4/043039

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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.
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.
We present a stochastic procedure to investigate the correlation spectra of quantum dot superluminescent diodes. The classical electric field of a diode is formed by a polychromatic superposition of many independent stochastic oscillators. Assuming fields with individual carrier frequencies, Lorentzian linewidths and amplitudes we can form any relevant experimental spectrum using a least square fit. This is illustrated for Gaussian and Lorentzian spectra, Voigt profiles and box shapes. Eventually, the procedure is applied to an experimental spectrum of a quantum dot superluminescent diode which determines the first- and second-order temporal correlation functions of the emission. We find good agreement with the experimental data and a quantized treatment. Thus, a superposition of independent stochastic oscillators represents the first- and second-order correlation properties of broadband light emitted by 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.
We investigate the intrawaveguide statistics manipulation of broadband light by combining semiconductor quantum dot physics with quantum optics. By cooling a quantum dot superluminescent diode to the liquid nitrogen temperature of 77 K, Blazek [] have demonstrated a temperature-dependent reduction of the second-order intensity correlation coefficient from 2 for thermal amplified spontaneous emission light to g ( 2 ) ( 0 , T = 190 K ) ≈ 1.33 . Here, we model the broadband photon statistics assuming amplified spontaneous emission radiation in a pumped, saturable quantum dot gain medium. We demonstrate that, by an intensity increase due to the quantum dot occupation dynamics via the temperature-tuned quasi-Fermi levels, together with the saturation nonlinearity, a statistics manipulation from thermal Bose-Einstein statistics towards Poissonian statistics can be realized, thus producing “silent white light” with a reduced second-order correlation coefficient. Such intensity-noise-reduced broadband radiation is relevant for many applications such as optical coherence tomography, optical communication, or optical tweezers. Published by the American Physical Society 2024
Ghost imaging (GI) is one of the recent fascinating and probably counterintuitive topics of quantum optics. Here, we present an alternative classical GI scheme using spectrally ultrabroadband amplified spontaneous emission from an optoelectronic quantum dot based superluminescent diode source. This light source exhibits highly incoherent properties regarding both first- and second-order correlations with a 70 nm-wide optical spectrum as well as thermal-like photon statistics. Exploiting a two-photon-absorption detection method, we demonstrate for the first time, to the best of our knowledge, a GI experiment handling the corresponding femtosecond correlation timescales. By introducing compact broadband light sources to GI, this work contributes toward practical application of GI.