Abstract:Four-wave mixing in atomic vapor allows for the generation of multi-spatial-mode states of light containing many pairs of two-mode entangled vacuum beams. This in principle can be used to send independent secure keys to multiple parties simultaneously using a single light source. In our experiment, we demonstrate this spatial multiplexing of information by selecting three independent pairs of entangled modes and performing continuous-variable measurements to verify the correlations between entangled partners. … Show more
“…These effects may be subtle, or even negligible, when analysis is limited to comparing images collected with a charge-coupled device (CCD) camera. However, these effects can be quite detrimental to quantum processes such as squeezing [19] and entanglement generation [21- * rlanni1@lsu.edu 24]. Nonlinear processes leading to the production of LG modes, with nonzero radial index p, can actually contaminate the mode structure and degrade the performance of the process.…”
We present a general, Gaussian spatial mode propagation formalism for describing the generation of higher order multi-spatial-mode beams generated during nonlinear interactions. Furthermore, to implement the theory, we simulate optical angular momentum transfer interactions, and show how one can optimize the interaction to reduce the undesired modes. Past theoretical treatments of this problem have often been phenomenological, at best. Here we present an exact solution for the single-pass no-cavity regime, in which the the nonlinear interaction is not overly strong. We apply our theory to two experiments, with very good agreement, and give examples of several more configurations, easily tested in the laboratory.
“…These effects may be subtle, or even negligible, when analysis is limited to comparing images collected with a charge-coupled device (CCD) camera. However, these effects can be quite detrimental to quantum processes such as squeezing [19] and entanglement generation [21- * rlanni1@lsu.edu 24]. Nonlinear processes leading to the production of LG modes, with nonzero radial index p, can actually contaminate the mode structure and degrade the performance of the process.…”
We present a general, Gaussian spatial mode propagation formalism for describing the generation of higher order multi-spatial-mode beams generated during nonlinear interactions. Furthermore, to implement the theory, we simulate optical angular momentum transfer interactions, and show how one can optimize the interaction to reduce the undesired modes. Past theoretical treatments of this problem have often been phenomenological, at best. Here we present an exact solution for the single-pass no-cavity regime, in which the the nonlinear interaction is not overly strong. We apply our theory to two experiments, with very good agreement, and give examples of several more configurations, easily tested in the laboratory.
“…Furthermore, the addition of this unsupervised learning scheme may be implemented to build an autonomous technique and extended to demodulate more complex optical profiles, which are difficult to label and classify with current supervised techniques. The flexibility and generality of the developed neural networks will allow for the straightforward integration into current FSO communication systems, with the ability to be directly applied to quantum communication systems as well [29][30][31][32][33][34][35][36] .…”
Free-space optical communications systems suffer from turbulent propagation of light through the atmosphere, attenuation, and receiver detector noise. These effects degrade the quality of the received state, increase cross-talk, and decrease symbol classification accuracy. We develop a state-of-the-art generative neural network (GNN) and convolutional neural network (CNN) system in combination, and demonstrate its efficacy in simulated and experimental communications settings. Experimentally, the GNN system corrects for distortion and reduces detector noise, resulting in nearly identical-to-desired mode profiles at the receiver, requiring no feedback or adaptive optics. Classification accuracy is significantly improved when these generated modes are demodulated using a CNN that is pre-trained with undistorted modes. Using the GNN and CNN system exclusively pre-trained with simulated optical profiles, we show a reduction in cross-talk between experimentally-detected noisy/distorted modes at the receiver. This scalable scheme may provide a concrete and effective demodulation technique for establishing long-range classical and quantum communication links.
“…This is essentially a FWM process where the input probe (seed) and conjugate modes are vacua. The optimal angle to fulfill phasematching in 85 Rb occurs at ≈ 8 mrad between the pump and any point on the generated cone [30]. When a second pump is added at a small horizontal angle, this single FWM process competes with a new phase-matched process: one photon from each pump is annihilated, one photon is generated in mode 1, and one photon is generated in mode 3 (likewise for modes 2 and 4, where the mode numbers are defined in Figure 1).…”
Section: Discussionmentioning
confidence: 99%
“…These results suggest that the four-mode configuration will exhibit the strongest degree of squeezing and entanglement in experiments with a pair of pump beams crossing at a small angle. Additionally, we believe that the results could be applied to multi-party entanglement distribution as in [30] wherein Gupta et al generated pairs of correlated random bit streams for secure keys using opposite spatial locations about the single-pump spontaneous FWM ring. With the doublepump configuration described here, each photon is correlated to two others rather than one, and no frequencymodulation or probe alignment is necessary.…”
Section: Discussionmentioning
confidence: 99%
“…This new configuration boasts a large amount of tunability in the relative power of each pump, total pump power, atomic vapor temperature, pump frequency, and angle between pumps. It may be applied, for example, to multi-channel entanglement distribution using spatial multiplexing as in [30], where researchers generate independent pairs of spatially-separated, correlated random bit streams to be used as secure keys in a many-party secret sharing scheme.…”
We demonstrate an unseeded, multimode four-wave mixing process in hot 85 Rb vapor, using two pump beams of the same frequency that cross at a small angle. This results in the simultaneous fulfillment of multiple phase-matching conditions that reinforce one another to produce four intensity-stabilized bright output modes at two different frequencies. Each generated photon is directly correlated to exactly two others, resulting in the preferred four-mode output, in contrast to other multimode four-wave mixing experiments. This provides significant insight into the optimal configuration of the output multimode squeezed and entangled states generated in such four-wave mixing systems. We examine the power, temperature and frequency dependence of this new output and compare to the conical four-wave mixing emission from a single pump beam. The generated beams are spatially separated, allowing a natural distribution for potential use in quantum communication and secret-sharing protocols.
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