%0 Journal Article
%T Dynamic Violation of Bell’s Inequalities in the Angular Momentum Representation
%A Julio Alberto L&#243
%A pez-Sald&#237
%A var
%A Octavio Casta&#241
%A os
%A Sergio Cordero
%A Ram&#243
%A n L&#243
%A pez-Pe&#241
%A a
%A Eduardo Nahmad-Achar
%J Journal of Modern Physics
%P 228-247
%@ 2153-120X
%D 2025
%I Scientific Research Publishing
%R 10.4236/jmp.2025.161010
%X A parametrization of density matrices of <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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 and lowering <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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 angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann parameters. A general expression for the density matrix of the composite system of angular momenta <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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 is obtained. In this matrix representation violations of the Bell-Clauser-Horne-Shimony-Holt inequalities are established for the <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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-states of a qubit-qubit, pure and mixed, composite system, as well as for a qubit-qutrit density matrix. In both cases maximal violation of the Bell inequalities can be reached, <i>i.e</i>., the Cirel&#8217;son limit. A correlation between the entanglement measure and a strong violation of the Bell factor is also given. For the qubit-qutrit composite system a time-dependent convex combination of the density matrix of the eigenstates of a two-particle Hamiltonian system is used to determine periodic maximal violations of the Bell&#8217;s inequality.
%K Density Matrix
%K Angular Momentum
%K Bell Inequality
%K Entanglement
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140241