<html><head></head><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:16px"><div id="yui_3_16_0_1_1468955920981_5723">All, </div><div id="yui_3_16_0_1_1468955920981_5723"><br></div><div id="yui_3_16_0_1_1468955920981_5723">What software do you use to model an electron, photon and perhaps quanta?</div><div id="yui_3_16_0_1_1468955920981_5723"><br></div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr">Modeling of any type has intrigued me if only to see inside something. New insights often occur. Often, the model generates more satisfying answers and more than a few questions on the physics of the electron and photon Recently, I've been working on multiphysics modeling using COMSOL, FEEP and . I'm not sure these are the best for modeling photonic electrons, photons and quanta. </div><div id="yui_3_16_0_1_1468955920981_5723"><br></div><div id="yui_3_16_0_1_1468955920981_5723">Also, I came across an intriguing paper that may be of interest.</div><div id="yui_3_16_0_1_1468955920981_5723"><br></div><div id="yui_3_16_0_1_1468955920981_5723"><span style="font-size: medium; font-weight: 700;">Hologram of a Single Photon</span><br></div><div title="Page 1" id="yui_3_16_0_1_1468955920981_10599" title-off=""><div id="yui_3_16_0_1_1468955920981_10600">
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<div dir="ltr" id="yui_3_16_0_1_1468955920981_10607"><span id="yui_3_16_0_1_1468955920981_10608"><font size="3">Radosław Chrapkiewicz et al</font></span></div></div></div></div></div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr"><a href="http://arxiv.org/pdf/1509.02890v2.pdf" id="yui_3_16_0_1_1468955920981_10040">http://arxiv.org/pdf/1509.02890v2.pdf</a><br></div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr"><br></div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr">ABSTRACT</div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr"><br></div><div id="yui_3_16_0_1_1468955920981_5723" dir="ltr">
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<div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span id="yui_3_16_0_1_1468955920981_10233"><font size="3" id="yui_3_16_0_1_1468955920981_10402"> The spatial structure of single photons [1–3] is
becoming an extensively explored resource used
for facilitating the free-space quantum key distribution [4–7] and quantum computation [8] as
well as for benchmarking the limits of quantum
entanglement generation [3] with orbital angular momentum modes [1, 9] or reduction of the
photon free-space propagation speed [10]. </font></span></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;" id="yui_3_16_0_1_1468955920981_10408"> Albeit
nowadays an accurate tailoring of photon’s spatial structure is routinely performed using methods employed for shaping classical optical beams
[3, 10, 11], the reciprocal problem of retrieving the spatial phase-amplitude structure of an
unknown single photon cannot be solved using
complimentary classical holography techniques
[12, 13] exhibiting excellent interferometric precision. </span></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;" id="yui_3_16_0_1_1468955920981_10459"> Here we introduce a method to record a
hologram of a single photon (HSP) probed by an-
other reference photon, based on essentially different concept of quantum interference between
two-photon probability amplitudes. Similarly to
classical holograms, HSP encodes full information
about photon’s “shape”, i.e. its quantum wave function whose local amplitude and phase are retrieved in the demonstrated experiment. </span><br></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;"><br></span></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;">Best</span></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;"><br></span></div><div dir="ltr" id="yui_3_16_0_1_1468955920981_10232"><span style="font-size: medium;">David</span></div>
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