Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating typical entanglement with many-body Hamiltonian dynamics   We study the time evolution of the amount of entanglement generated by one
dimensional spin-1/2 Ising-type Hamiltonians composed of many-body
interactions. We investigate sets of states randomly selected during the time
evolution generated by several types of time-independent Hamiltonians by
analyzing the distributions of the amount of entanglement of the sets. We
compare such entanglement distributions with that of typical entanglement,
entanglement of a set of states randomly selected from a Hilbert space with
respect to the unitarily invariant measure. We show that the entanglement
distribution obtained by a time-independent Hamiltonian can simulate the
average and standard deviation of the typical entanglement, if the Hamiltonian
contains suitable many-body interactions. We also show that the time required
to achieve such a distribution is polynomial in the system size for certain
types of Hamiltonians.

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The categories of this paper are: cs
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph