Diverging scaling with converging multisite entanglement in odd and even quantum Heisenberg ladders

We investigate finite-size scaling of genuine multisite entanglement in the ground state of quantum spin-1/2 Heisenberg ladders. We obtain the ground states of odd- and even-legged Heisenberg ladder Hamiltonians and compute genuine multisite entanglement, the generalized geometric measure (GGM), whi...

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Bibliographic Details
Published in:New journal of physics 2016-02, Vol.18 (2), p.23025
Main Authors: Roy, Sudipto Singha, Dhar, Himadri Shekhar, Rakshit, Debraj, Sen(De), Aditi, Sen, Ujjwal
Format: Article
Language:English
Subjects:
03.67.-a
03.67.Mn
75.10.Jm
Convergence
Dimers
Entanglement
even odd dichotomy
Ground state
Hamiltonian functions
Heisenberg ladders
Ladders
multisite entanglement
Physics
Scaling
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Summary:We investigate finite-size scaling of genuine multisite entanglement in the ground state of quantum spin-1/2 Heisenberg ladders. We obtain the ground states of odd- and even-legged Heisenberg ladder Hamiltonians and compute genuine multisite entanglement, the generalized geometric measure (GGM), which shows that for even rungs, GGM increases for odd-legged ladder while it decreases for even ones. Interestingly, the ground state obtained by short-range dimer coverings, under the resonating valence bond ansatz, encapsulates the qualitative features of GGM for both the ladders. We find that while the quantity converges to a single value for higher legged odd- and even-ladders, in the asymptotic limit of a large number of rungs, the finite-size scaling exponents of the same tend to diverge. The scaling exponent of GGM is therefore capable to distinguish the odd-even dichotomy in Heisenberg ladders, even when the corresponding multisite entanglements merge.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/2/023025