Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Temperature and Entanglement Entropy of Excited States   We derive a general relation between the ground state entanglement
Hamiltonian and the physical stress tensor within the path integral formalism.
For spherical entangling surfaces in a CFT, we reproduce the \emph{local}
ground state entanglement Hamiltonian derived by Casini, Huerta and Myers. The
resulting reduced density matrix can be characterized by a spatially varying
"entanglement temperature." Using the entanglement Hamiltonian, we calculate
the first order change in the entanglement entropy due to changes in conserved
charges of the ground state, and find a local first law-like relation for the
entanglement entropy. Our approach provides a field theory derivation and
generalization of recent results obtained by holographic techniques. However,
we note a discrepancy between our field theoretically derived results for the
entanglement entropy of excited states with a non-uniform energy density and
current holographic results in the literature. Finally, we give a CFT
derivation of a set of constraint equations obeyed by the entanglement entropy
of excited states in any dimension. Previously, these equations were derived in
the context of holography.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol