Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain wall dynamics of the Ising chains in a transverse field   We show that the dynamics of an Ising spin chain in a transverse field
conserves the number of domains (strings of down spins in an up-spin
background) at discrete times. This enables the determination of the
eigenfunctions of the time-evolution operator, and the dynamics of initial
states with domains. The transverse magnetization is shown to be identically
zero in all sectors with a fixed number of domains. For an initial state with a
single string of down spins, the local magnetization, the equal-time and
double-time spin-spin correlation functions, are calculated analytically as
functions of time and the initial string size. The domain size distribution
function can be expressed as a simple integral involving Bessel functions.

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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas