Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Variational Matrix Product States for the Heisenberg
  Spin-1 Chain   We propose a simple variational wave function that captures the correct
ground state energy of the spin-1 Heisenberg chain model to within 0.04\%. The
wave function is written in the matrix product state (MPS) form with the bond
dimension $D=8$, and characterized by three fugacity parameters. The proposed
MPS generalizes the Affleck-Kennedy-Lieb-Tasaki (AKLT) state by dressing it
with dimers, trimers, and general $q$-dimers. The fugacity parameters control
the number and the average size of the $q$-mers. Furthermore, the $D=8$
variational MPS state captures the ground states of the entire family of
bilinear-biquadratic Hamiltonian belonging to the Haldane phase to high
accuracy. The 2-4-2 degeneracy structure in the entanglement spectrum of our
MPS state is found to match well with the results of density matrix
renormalization group (DMRG) calculation, which is computationally much
heavier. Spin-spin correlation functions also find excellent fit with those
obtained by DMRG.

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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: bayes-an