Zero Fourier modes in circular photonic waveguide networks create a protected subspace that enables perfect state transfer to the diametrically opposite site when the number of sites N equals 4n.
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Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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Perfect state transfer in quantum photonic networks based on Fourier modes
Zero Fourier modes in circular photonic waveguide networks create a protected subspace that enables perfect state transfer to the diametrically opposite site when the number of sites N equals 4n.
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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.