English

A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states

Mathematical Physics 2024-12-06 v1 math.MP Quantum Physics

Abstract

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

Keywords

Cite

@article{arxiv.2408.14388,
  title  = {A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states},
  author = {Pierre-Antoine Bernard and Étienne Poliquin and Luc Vinet},
  journal= {arXiv preprint arXiv:2408.14388},
  year   = {2024}
}

Comments

8 pages