Reduced Density Matrix of Permutational Invariant Many-body Systems |
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Authors: | Email author" target="_blank">Mario?SalernoEmail author Vladislav?Popkov |
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Institution: | 1.Dipartimento di Fisica “E.R. Caianiello” and Instituto Nazionale di Fisica Nucleare (INFN), Gruppo Collegato di Salerno, and Consorzio Nazionale per le Scienze Fisiche della Materia (CNISM),Universitá di Salerno,Fisciano,Italy |
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Abstract: | We consider density matrices which are sums of projectors on states spanning irreducible representations of the permutation
group of L sites (eigenstates of permutational invariant quantum system with L sites) and construct reduced density matrix ρ
n
for blocks of size n<L by tracing out L−n sites, viewed as environment. Explicit analytic expressions of the elements of ρ
n
are given in the natural basis and the corresponding spectrum of the reduced density matrix is derived. Results apply to
other quantum many-body systems with permutational symmetry. |
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Keywords: | |
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