Pith. sign in

REVIEW 5 cited by

Entanglement Temperature and Entanglement Entropy of Excited States

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1305.3291 v2 pith:V5752P5Q submitted 2013-05-14 hep-th cond-mat.stat-mechquant-ph

Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman This is my paper · ORCID
classification hep-thcond-mat.stat-mechquant-ph
keywords entanglemententropyderivedexcitedgroundhamiltonianresultsstate
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Uniqueness of null-local modular flow

    hep-th 2026-07 conditional novelty 7.0 of 10

    For the free massless scalar in a Minkowski causal diamond, the vacuum is the unique state or weight in the vacuum sector whose modular flow is local on the null boundary.

  2. Geometric modular flows in 2d CFT and beyond

    hep-th 2025-02 conditional novelty 7.0 of 10

    In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.

  3. Modular evolutions and causality in two-dimensional conformal field theory

    hep-th 2025-01 accept novelty 6.0 of 10

    Modular flows preserve causal spacetime ordering inside causal diamonds, but a bilocal modular Hamiltonian can violate local commutativity at spacelike distances.

  4. Entanglement of a chiral scalar on the torus

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors derive the exact resolvent and entanglement entropy for a chiral scalar on a circle at arbitrary temperature, reproducing known plane and cylinder limits.

  5. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0 of 10

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...

Pith tools