Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Codification Volume of an operator algebra and its irreversible growth
  through thermal processes   Given a many-body system, we define a quantity, the Codification Volume of an
operator algebra, which measures the size of the subspace with whom a given
algebra is correlated. We explicitly calculate it for some limit cases,
including vacuum states of local Hamiltonians and random states taken from the
Haar ensemble. We argue that this volume should grow irreversibly in a
thermalization process, and illustrate it numerically on a non-integrable
quantum spin chain.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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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: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: adap-org