J. Phys. A: Math. Theor.
 2024
DOI: 10.1088/1751-8121/ad94b9
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A q-version of the relation between the hypercube, the Krawtchouk chain and Dicke states

Pierre-Antoine Bernard,
Etienne Poliquin,
Luc Vinet

Abstract: It is shown how the spin chain based on the dual q-Krawtchouk polynomials is connected to a weighted hypercube through the use of q-Dicke states. The representation theoretic underpinnings based on the quantum algebra Uq(su(2)) are emphasized.

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