Universal terms of the entanglement entropy in a static closed universe

• URL: http://arxiv.org/abs/2106.06803v2
• Date: Thu, 23 Dec 2021 23:05:43 GMT
• Title: Universal terms of the entanglement entropy in a static closed universe
• Authors: Rodolfo Soldati, L. S. Menicucci, N. Yokomizo
• Abstract summary: We determine two universal coefficients of the entanglement entropy for a massive scalar field in a static closed universe. The first coefficient describes a well known generic correction to the area law independent of the geometry of the entangling surface and background. The second coefficient describes a curvature-dependent universal term with a nontrivial dependence on the intrinsic and extrinsic geometries of the entangling surface and curvature of the background.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed information on the geometry around the entangling surface. We determine two universal coefficients of the entanglement entropy for a massive scalar field in a static closed universe $\mathbb{R} \times \mathbb{S}^3$ perturbatively and verify the results numerically. The first coefficient describes a well known generic correction to the area law independent of the geometry of the entangling surface and background. The second coefficient describes a curvature-dependent universal term with a nontrivial dependence on the intrinsic and extrinsic geometries of the entangling surface and curvature of the background. The numerical calculations confirm the analytical results to a high accuracy. The first and second universal coefficients are determined numerically with a relative error with respect to the analytical values of the orders $10^{-4}$ and $10^{-2}$, respectively.

Related papers

• Cavity QED materials: Comparison and validation of two linear response theories at arbitrary light-matter coupling strengths [41.94295877935867]
  We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling. We compare two different approaches to obtain thermal Green functions. We provide a detailed application of the theory to the Quantum Hall effect and to a collection of magnetic models.
  arXiv  Detail & Related papers  (2024-06-17T18:00:07Z)
• Conformal geometry from entanglement [14.735587711294299]
  We identify a quantum information-theoretic mechanism by which the conformal geometry emerges at the gapless edge of a 2+1D quantum many-body system. We show that stationarity of $mathfrakc_mathrmtot$ is equivalent to a vector fixed-point equation involving $eta$, making our assumption locally checkable.
  arXiv  Detail & Related papers  (2024-04-04T18:00:03Z)
• Intrinsic correlations for statistical ensembles of Dirac-like structures [0.0]
  Weyl-Wigner formalism for evaluating the intrinsic information of Dirac bispinors as correlated qubits in a magnetic field is investigated. The confining external field quantizes the quantum correlation measures implied by the spin-parity qubit structure of the Dirac equation in 3+1 dimensions.
  arXiv  Detail & Related papers  (2024-01-31T15:38:13Z)
• The Tempered Hilbert Simplex Distance and Its Application To Non-linear Embeddings of TEMs [36.135201624191026]
  We introduce three different parameterizations of finite discrete TEMs via Legendre functions of the negative tempered entropy function. Similar to the Hilbert geometry, the tempered Hilbert distance is characterized as a $t$-symmetrization of the oriented tempered Funk distance.
  arXiv  Detail & Related papers  (2023-11-22T15:24:29Z)
• Universal entanglement and correlation measure in two-dimensional conformal field theories [0.6635604919499181]
  We show that $mathcalE$ has a universal expression even for two disjoint intervals. We verify our findings numerically in the spin-1/2 XXZ chain.
  arXiv  Detail & Related papers  (2022-11-22T02:09:02Z)
• Shape Deformations of Charged R\'enyi Entropies from Holography [0.0]
  We use holography to determine the dependence of charged R'enyi entropies on small shape deformations away from a spherical or planar entangling surface in general dimensions. When the R'enyi defect becomes supersymmetric, we demonstrate a conjectured relation between the two point function of the displacement operator and the conformal weight of the twist operator.
  arXiv  Detail & Related papers  (2022-03-28T18:41:14Z)
• Eigenstate capacity and Page curve in fermionic Gaussian states [0.0]
  Capacity of entanglement (CoE) is an information-theoretic measure of entanglement, defined as the variance of modular Hamiltonian. We derive an exact expression for the average eigenstate CoE in fermionic Gaussian states as a finite series. We identify this as a distinguishing feature between integrable and quantum-chaotic systems.
  arXiv  Detail & Related papers  (2021-09-01T18:00:10Z)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.