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Physical Review A

Control of the size of the coherence area in entangled twin beams

Matthew Holtfrerich, Alberto M. Marino

Published Jun 13, 2016• 27 citations
Publisher

Abstract

We study the effect of a change in size and spatial profile of the pump beam in an atomic-based four-wave mixing process on the size of the coherence area of the generated entangled twin beams. We perform experiments and develop a theoretical model to obtain a measure of the linear extent or ``radius'' of the coherence area from noise measurements of the twin beams as a function of transmission through a variable size slit. Our results show that an increase in the size of the pump reduces the size of the coherence area. More interestingly, we find that the use of a flat-top pump beam of the same size as a Gaussian pump beam leads to a reduction by a factor of more than 2 in the linear extent of the coherence area. This in turn leads to an increase by a factor of more than 4 in the number of spatial modes that make up the twin beams and a resolution enhancement of the entangled images that can be generated with the four-wave mixing process.

DOI
10.1103/physreva.93.063821

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We study the effect of a change in size and spatial profile of the pump beam in an atomic-based four-wave mixing process on the size of the coherence area of the generated entangled twin beams. We perform experiments and develop a theoretical model to obtain a measure of the linear extent or ``radius'' of the coherence area from noise measurements of the twin beams as a function of transmission through a variable size slit. Our results show that an increase in the size of the pump reduces the size of the coherence area. More interestingly, we find that the use of a flat-top pump beam of the same size as a Gaussian pump beam leads to a reduction by a factor of more than 2 in the linear extent of the coherence area. This in turn leads to an increase by a factor of more than 4 in the number of spatial modes that make up the twin beams and a resolution enhancement of the entangled images that can be generated with the four-wave mixing process.
Quantum states of light with multiple spatial modes are fundamental for quantum imaging and parallel quantum information processing. Thus, their characterization, which can be achieved through measurements of the coherence area, is an important area of research. We present a comparative study between different measurement techniques for the coherence area of bright entangled twin beams of light. The first one is a direct measurement based on correlation measurements between spatial intensity fluctuations of the twin beams while the second one is based on a noise analysis of different spatial regions in the temporal domain. We generate the bright entangled twin beams with a four-wave mixing process in a hot rubidium vapor cell and capture images of the twin beams with an electron-multiplying charge-coupled-device camera. We show that the time domain measurements, which provides a significantly less complicated measurement scheme, provides an estimate of the size of the coherence area of the same order of magnitude as the direct measurement done in the spatial domain.
Quantum states of light with multiple spatial modes are fundamental for quantum imaging and parallel quantum information processing. Thus their characterization, which can be achieved through measurements of the coherence area, is an important area of research. We present a comparative study between two different measurement techniques for the coherence area of bright entangled twin beams of light generated with a four-wave mixing process in a hot rubidium vapor cell. The first one provides a direct characterization of the size of the coherence area and is based on correlation measurements between spatial intensity fluctuations of the twin beams with an electron-multiplying charge-coupled-device camera. The second one provides an indirect measure and is based on a noise analysis of different spatial regions of the twin beams in the time domain with a single photodiode. We show that the indirect technique, which can be implemented with a significantly less complicated measurement scheme, gives an estimate of the size of the coherence area consistent with the direct measurement technique performed in the spatial domain.
The presence of multiple bipartite entangled modes in squeezed states generated by four-wave mixing enables ultra-trace sensing, imaging, and metrology applications that are impossible to achieve with single-spatial-mode squeezed states. For Gaussian seed beams, the spatial distribution of these bipartite entangled modes, or coherence areas, across each beam is largely dependent on the spatial modes present in the pump beam, but it has proven difficult to map the distribution of these coherence areas in frequency and space. We demonstrate an accessible method to map the distribution of the coherence areas within these twin beams. We also show that the pump shape can impart different noise properties to each coherence area, and that it is possible to select and detect coherence areas with optimal squeezing with this approach.
Partially coherent quantum-entangled beams combine quantum correlation with partial coherence, allowing them to maintain quantum characteristics while being more resistant to distortions caused by random media during propagation. In this study, we investigate the effect of coherence variation of such beams on non-local double-slit quantum interference. The spatial coherence variation is achieved by controlling the transverse coherence length of the Gaussian Schell model pump in the spontaneous parametric down conversion process. For a fixed beam size, the momentum correlation width of partially coherent biphotons increases with the decrease in the transverse coherence length. This results in a biphoton beam exhibiting multiple spatial modes, making it more suitable for studying the non-local features of quantum states in imaging, interference, and diffraction experiments. Our findings infer both high-quality and near-unity visibility of nonlocal interference using the partially coherent twin beams, even with the substantial decrease in the coherence of the pump. We believe these results can enhance robustness against the deleterious effects of the medium during propagation and can have potential applications in optical image cryptography, biomedical imaging, quantum lithography, and quantum holography.
Two beams of light can be quantum mechanically entangled through correlations of their phase and intensity fluctuations. For a pair of spatially extended image-carrying light fields, the concept of entanglement can be applied not only to the entire images but also to their smaller details. We used a spatially multimode amplifier based on four-wave mixing in a hot vapor to produce twin images that exhibit localized entanglement. The images can be bright fields that display position-dependent quantum noise reduction in their intensity difference or vacuum twin beams that are strongly entangled when projected onto a large range of different spatial modes. The high degree of spatial entanglement demonstrates that the system is an ideal source for parallel continuous-variable quantum information protocols.