2019
DOI: 10.1103/physrevlett.123.260502
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Scattering-Based Geometric Shaping of Photon-Photon Interactions

Abstract: We construct an effective Hamiltonian of interacting bosons, based on scattered radiation off vibrational modes of designed molecular architectures. Making use of the infinite yet countable set of spatial modes representing the scattering of light, we obtain a variable photon-photon interaction in this basis. The effective Hamiltonian hermiticity is controlled by a geometric factor set by the overlaps of spatial modes. Using this mapping, we relate intensity measurements of the light to correlation functions o… Show more

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Cited by 9 publications
(7 citation statements)
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“…• Photonic systems: These are typically linear optics systems which, combined with photon counting, may mimic a universal quantum computer, according to the famous paper from Knill, Laflamme, and Milburn [57]. Achieving strong non-linearity with photons is very challenging, but there are ongoing attempts and proposals [11]. • Twistronics systems: Twistronics deals with twisted bilayer graphene or other two-dimensional materials [26,96].…”
Section: Platforms and Architecturesmentioning
confidence: 99%
“…• Photonic systems: These are typically linear optics systems which, combined with photon counting, may mimic a universal quantum computer, according to the famous paper from Knill, Laflamme, and Milburn [57]. Achieving strong non-linearity with photons is very challenging, but there are ongoing attempts and proposals [11]. • Twistronics systems: Twistronics deals with twisted bilayer graphene or other two-dimensional materials [26,96].…”
Section: Platforms and Architecturesmentioning
confidence: 99%
“…Due to the fact that extended Bose-Hubbard Hamiltonians are of great relevance in different physical systems [99][100][101][102][103], we expect that our results can stimulate the study of TQCPs in a broad variety of research lines. Finally, as natural extensions of the present work, we believe that the investigation of TQCPs in fermionic systems, where the extra spin degrees of freedom can give rise to interesting topological states, might represent an intriguing topic.…”
Section: Discussion and Outlookmentioning
confidence: 92%
“…Correlation-based detection techniques -such as coincidence -can reveal such electromagnetic field nonlinearities. These correlations are signatures matter-induced photon-photon coupling [51], freeelectrons coupling [52] and thus carry matter information that is imprinted in the post-interaction countingstatistics. Characterization of the 'reading' process that access this information, is one of the central goals of interferometric-spectroscopy.…”
Section: Discussionmentioning
confidence: 99%