2019/11/30 by Ali Anwar, Nijil Lal, Shashi Prabhakar +2 · 7 citations
Computer Science · Physics and Astronomy · #Hilbert space #Linear subspace #Modal #Orbital Angular Momentum in Optics #Parametric statistics #Quantum Information and Cryptography #Quantum entanglement #Quantum optics and atomic interactions #Spontaneous parametric down-conversion #Subspace topology #Superposition principle #physics.optics #quant-ph
paper · pdf · doi:10.1088/1367-2630/abc783
published in New Journal of Physics 22(11), 113020 (IOP Publishing) · 9 pages, 7 figures
openalex created_date 2019/11/22 · arxiv created 2019/12/14 · openalex publication_date 2020/11/01 · arxiv updated 2020/11/23 · openalex updated_date 2026/08/05
Abstract Spatial modes of light directly give the most easily accessible degree of freedom that span an infinite dimensional Hilbert space. The higher dimensional spatial mode entanglement realized using spontaneous parametric down conversion (SPDC) process is generally restricted to the subspace defined by a single spatial mode in pump. Access to other modal subspaces can be realized by pumping beams carrying several easily tunable transverse modes. As a proof of principle experiment, we generate twin-photon states in an SPDC process with pump as a superposition of first order Laguerre–Gaussian (or Hermite–Gaussian) modes. We show that the generated states can be easily tuned between different subspaces by controlling the respective modal content in the pump superposition.