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The von Neumann entanglement entropy for Wigner-crystal states in one dimensional N-particle systems | | Przemyslaw Koscik
; | | Date: |
4 Aug 2015 | | Abstract: | We study one-dimensional systems of $N$ particles in a one-dimensional
harmonic trap with an inverse power law interaction $sim|x|^{-d}$. Within the
framework of the harmonic approximation we derive, in the strong interaction
limit, the Schmidt decomposition of the one-particle reduced density matrix and
investigate the nature of the degeneracy appearing in its spectrum.
Furthermore, the ground-state asymptotic occupancies and their natural orbitals
are derived in closed analytic form, which enables their easy determination for
a wide range of values of $N$. A closed form asymptotic expression for the von
Neumann entanglement entropy is also provided and its dependence on $N$ is
discussed for the systems with $d=1$ (charged particles) and with $d=3$
(dipolar particles). | | Source: | arXiv, 1508.0759 | | Services: | Forum | Review | PDF | Favorites | |
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