Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix-Product-State Algorithm for Finite Fractional Quantum Hall
  Systems   Exact diagonalization is a powerful tool to study fractional quantum Hall
(FQH) systems. However, its capability is limited by the exponentially
increasing computational cost. In order to overcome this difficulty,
density-matrix-renormalization-group (DMRG) algorithms were developed for much
larger system sizes. Very recently, it was realized that some model FQH states
have exact matrix-product-state (MPS) representation. Motivated by this, here
we report a MPS code, which is closely related to, but different from
traditional DMRG language, for finite FQH systems on the cylinder geometry. By
representing the many-body Hamiltonian as a matrix-product-operator (MPO) and
using single-site update and density matrix correction, we show that our code
can efficiently search the ground state of various FQH systems. We also compare
the performance of our code with traditional DMRG. The possible generalization
of our code to infinite FQH systems and other physical systems is also
discussed.

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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph