2020
DOI: 10.1364/prj.382831
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Multiphoton synthetic lattices in multiport waveguide arrays: synthetic atoms and Fock graphs

Abstract: Activating transitions between internal states of physical systems has emerged as an appealing approach to create lattices and complex networks. In such a scheme, the internal states or modes of a physical system are regarded as lattice sites or network nodes in an abstract space whose dimensionality may exceed the systems’ apparent (geometric) dimensionality. This introduces the notion of synthetic dimensions, thus providing entirely novel pathways for fundamental research and applications. Here, we analytica… Show more

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Cited by 19 publications
(15 citation statements)
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“…In all cases of bunching, the non-classical correlations were confirmed by observing the violation of the Bell-like inequality [38]. Further scaling in the number of undistinguishable photons at the input leads to the parallelisation of quantum random walks, representable by synthetic lattices in the photon-number space [39].…”
Section: Entanglement Generatorsmentioning
confidence: 79%
“…In all cases of bunching, the non-classical correlations were confirmed by observing the violation of the Bell-like inequality [38]. Further scaling in the number of undistinguishable photons at the input leads to the parallelisation of quantum random walks, representable by synthetic lattices in the photon-number space [39].…”
Section: Entanglement Generatorsmentioning
confidence: 79%
“…To illustrate the photon dynamics in the projected N -photon subspace, in Fig. (4) we depict the effective N -photon Hamiltonians as Fock graphs [39], where the nodes represent the Fock states |n 1 , . .…”
Section: Resultsmentioning
confidence: 99%
“…(4-a) there are three Fock states, |1, 1, 0 , |0, 2, 0 and |0, 1, 1 , which are subjected to dissipation and |0, 2, 0 experiences twice the losses, since both photons reside in the dissipative waveguide. Further, since the photons do not interact, the eigenvalues λ (N ) n1,...,nM = M m=1 n m λ m of the Hamiltonian in the Nphoton subspace are given by sums of the single-photon eigenvalues λ m [39]. This leads to an enhanced degeneracy of the N -photon eigenvalues and a large number of coalescent N -photon eigenmodes, which ultimately gives rise to higher order exceptional points as illustrated in the bottom panels of Fig.…”
Section: Resultsmentioning
confidence: 99%
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“…In this technique, the heralded subtraction of photons from two-mode squeezed vacuum states (TMSVS) gives rise to the generation of a family of correlated photon-subtracted TMSVS with a broad range of mean photon numbers and degrees of correlation [19,20]. Remarkably, this type of photon sources have shown to play an important role in the development of novel multiphoton integrated-optics protocols [21,22], as well as in quantum-enhanced spectroscopy [23], and metrology applications [24,25,26].…”
Section: Introductionmentioning
confidence: 99%