Generalizations of Perelomov's identity on the completeness of coherent states

Abstract

We proof the Perelomov identity for arbitrary 2D lattices using Fourier transformation. We further generalize it to situations where the origin does not coincide with a lattice site, and where the form of the exponential factor is reminiscent of magnetic wave functions in uniaxial rather than symmetric gauge.

4 pages, no figures

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• An exact chiral spin liquid with non-Abelian anyons
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
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Cited by in corpus (3)

• Exact Topological Flat Bands from Continuum Landau Levels
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice