Quantum Integrability of 1D Ionic Hubbard Model
Sign Up to like & getrecommendations! 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
Hahn polynomials on polyhedra and quantum integrability
Sign Up to like & getrecommendations! 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
Quantum Magnetism from Low-Dimensional Quantum Ising Models with Quantum Integrability
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DOI: 10.1088/0256-307x/42/4/047501
Abstract: Quantum integrability provides a unique and powerful framework for accurately understanding quantum magnetism. In this review, we focus specifically on several quantum integrable low-dimensional quantum Ising models. We begin with the transverse field Ising chain… read more here.
Keywords: field; quantum integrability; quantum ising; dimensional quantum ... See more keywords
On the classical and quantum integrability of systems of resonant oscillators
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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