Photonics Research, 2019, 7 (1): 01000019, Published Online: Feb. 21, 2019
Generation and measurement of arbitrary four-dimensional spatial entanglement between photons in multicore fibers
Figures & Tables
Fig. 1. Schematic of the experimental setup. (a) Arrangement of the optical components used to generate and measure the entangled photon pairs between two multicore fibers. (b) Imaging configuration for the pump beam and photons coupled to the fiber cores (L = 250 mm , f 1 = 50 mm , f 2 = 75 mm , and f 3 = 15 mm ). Inset: phase patterns on SLM0. SLM, spatial light modulator; L, lens; MCF, multicore fiber; Q, quarter-wave plate; H, half-wave plate; PBS, polarizing beam splitter; IF, interference filter; FC, fiber coupler; SMF, single-mode fiber.
Fig. 2. Reconstructed density matrices by quantum state tomography: (a) d = 2 , (b) d = 3 , and (c) d = 4 .
Fig. 3. Quantum correlations between the two-core superposition states, while changing the relative phase of the pump beam spots. Photon 1 in MCF1 is projected onto the state ( | j ⟩ + | k ⟩ ) / 2 . Photon 2 in MCF2 is projected onto ( | j ⟩ + | k ⟩ ) / 2 (red circles) or ( | j ⟩ + i | k ⟩ ) / 2 (black squares). The phase ϕ of the two-photon state component | k ⟩ | k ⟩ is scanned from 0 to 2 π by a relative phase of the relevant subsection pattern on SLM0. The coincidence counting period was 60 s. (a) j = 0 , k = 1 . (b) j = 1 , k = 2 . (c) j = 2 , k = 3 . (d) j = 3 , k = 0 .
Fig. 4. Measured Bell-type parameter S d (squares), compared with the limit by the local variable theories (triangles) and the theoretical values for the maximally entangled states (circles).
Hee Jung Lee, Hee Su Park. Generation and measurement of arbitrary four-dimensional spatial entanglement between photons in multicore fibers[J]. Photonics Research, 2019, 7(1): 01000019.