Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Hamiltonian of Interacting Systems: Local Temperature
  Approximation and Beyond   We investigate the second quantization form of the entanglement Hamiltonian
(EH) of various subregions for the ground-state of several interacting lattice
fermions and spin models. The relation between the EH and the model Hamiltonian
itself is an unsolved problem for the ground-state of generic local
Hamiltonians. In this letter, we demonstrate that the EH is practically local
and its dominant components are related to the terms present in the model
Hamiltonian up to a smooth spatially varying temperature even for (a) discrete
lattice systems, (b) systems with no emergent conformal or Lorentz symmetry,
and (c) for subsystems with non-flat boundaries, up to relatively strong
interactions. We show that the mentioned local temperature at a given point
decays inversely proportional to its distance from the boundary between the
subsystem and the environment. We find the subdominant terms in the EH as well
and show that they are severely suppressed away from the boundaries of
subsystem and are relatively small near them.

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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin