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Golden ratio entanglement in hexagonally poled nonlinear crystals
CNR, Ist Foton & Nanotecnol, Piazza Leonardo Da Vinci 32, Milan, Italy.;Univ Insubria, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, Como, Italy..
Univ Insubria, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, Como, Italy..
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum and Biophotonics. (Nonlinear and Quantum Photonics)ORCID iD: 0000-0001-7185-0457
CNR, Ist Foton & Nanotecnol, Piazza Leonardo Da Vinci 32, Milan, Italy.;Univ Insubria, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, Como, Italy..
2018 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 98, no 5, article id 053827Article in journal (Refereed) Published
Abstract [en]

This work analyzes the quantum state of twin photons and twin beams generated by parametric down-conversion in a hexagonally poled photonic crystal, characterized by the simultaneous presence of two nonlinear processes sustained by two vectors of the reciprocal lattice. In those special points of the fluorescence spectrum where the two processes coexist, we show that a tripartite entangled state is realized, equivalent to a single parametric process followed by a beam splitter. By proper angle tuning, a peculiar resonance condition is reached, with a transition to a four-mode entanglement, dominated by the golden ratio of the segment phi = (1 + root 5)/2. A maximal coherence between the two nonlinear processes is established here, as the overall process is shown to be equivalent to two independent parametric processes followed by a beam splitter. We offer an interpretation of the occurrence of the golden ratio in this system based on an analogy between the evolution of the light modes and the Fibonacci sequence.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2018. Vol. 98, no 5, article id 053827
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:kth:diva-239762DOI: 10.1103/PhysRevA.98.053827ISI: 000450547000011Scopus ID: 2-s2.0-85057045758OAI: oai:DiVA.org:kth-239762DiVA, id: diva2:1277107
Note

QC 20190109

Available from: 2019-01-09 Created: 2019-01-09 Last updated: 2019-01-23Bibliographically approved

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Gallo, Katia

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