Articles with "quantum integrability" as a keyword



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Quantum Integrability of 1D Ionic Hubbard Model

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Published in 2020 at "Annalen der Physik"

DOI: 10.1002/andp.201900601

Abstract: The quantum integrability of the 1D ionic Hubbard model (IHM) is established using two independent numerical methods, namely i) energy level spacing statistics and ii) occupation profile of one‐particle density matrix (OPDM) eigen‐values. Both methods… read more here.

Keywords: integrability ionic; ionic hubbard; hubbard model; quantum integrability ... See more keywords
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Hahn polynomials on polyhedra and quantum integrability

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Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107032

Abstract: Abstract Orthogonal polynomials with respect to the hypergeometric distribution on lattices in polyhedral domains in R d , which include hexagons in R 2 and truncated tetrahedrons in R 3 , are defined and studied.… read more here.

Keywords: system; polynomials polyhedra; polyhedra quantum; hahn polynomials ... See more keywords
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On the classical and quantum integrability of systems of resonant oscillators

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Published in 2017 at "Regular and Chaotic Dynamics"

DOI: 10.1134/s1560354717010014

Abstract: We study in this paper systems of harmonic oscillators with resonant frequencies. For these systems we present general procedures for the construction of sets of functionally independent constants of motion, which can be used for… read more here.

Keywords: quantum; integrability systems; systems resonant; classical quantum ... See more keywords