Entanglement spectra from holography

• URL: http://arxiv.org/abs/2411.00937v1
• Date: Fri, 01 Nov 2024 18:00:01 GMT
• Title: Entanglement spectra from holography
• Authors: Stefano Baiguera, Shira Chapman, Christian Northe, Giuseppe Policastro, Tal Schwartzman,
• Abstract summary: We compute the entanglement spectrum in the vacuum state for a subregion of a $d$-dimensional field theory admitting a holographic dual. We extend our analysis to the supersymmetric point of Einstein-Maxwell gravity.
• Score: 0.0
• License:
• Abstract: The entanglement spectrum of a bipartite quantum system is given by the distribution of eigenvalues of the modular Hamiltonian. In this work, we compute the entanglement spectrum in the vacuum state for a subregion of a $d$-dimensional conformal field theory (CFT) admitting a holographic dual. In the case of a spherical (or planar) entangling surface, we recover known results in two dimensions, including the Cardy formula in the high energy regime. In higher dimensions $d>2$, we analytically determine a generalization of the Cardy formula valid at large energies and consistent with previous studies of CFT spectra in the literature. We also investigate numerically the spectrum at energy levels far above the modular ground state energy. We extend our analysis to the supersymmetric point of Einstein-Maxwell gravity, providing exact results when $d=2,3$, and a generalization of the Cardy formula at high energies in generic dimension $d$. We consider small shape deformations of a spherical entangling surface, for both the non-supersymmetric and the supersymmetric cases. In all cases we find that the high-energy scaling of the microcanonical entropy with the modular energy is unaffected by the shape deformation. This result suggests that the high-energy regime of the entanglement spectra carries universal information, independent of the shape of the entangling surface.

Related papers

• A Non-Invertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra [0.0]
  We derive a refined version of the Affleck-Ludwig-Cardy formula for a 1+1d conformal field theory. We use this to determine the universal leading and sub-leading contributions to the non-invertible symmetry-resolved entanglement entropy of a single interval.
  arXiv  Detail & Related papers  (2024-09-04T15:25:05Z)
• Quantum Chaos on Edge [36.136619420474766]
  We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems. The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension. While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
  arXiv  Detail & Related papers  (2024-03-20T11:31:51Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Quantum tomography of helicity states for general scattering processes [55.2480439325792]
  Quantum tomography has become an indispensable tool in order to compute the density matrix $rho$ of quantum systems in Physics. We present the theoretical framework for reconstructing the helicity quantum initial state of a general scattering process.
  arXiv  Detail & Related papers  (2023-10-16T21:23:42Z)
• Universal features of entanglement entropy in the honeycomb Hubbard model [44.99833362998488]
  This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations. We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
  arXiv  Detail & Related papers  (2022-11-08T15:52:16Z)
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect [4.56850520666667]
  We develop a scheme to overcome the exponential growth of computational complexity in reliably extracting low-lying entanglement spectrum from quantum Monte Carlo simulations. We show that the wormhole effect amplifies the bulk energy gap by a factor of $beta$, the relative strength of that with respect to the edge energy gap will determine the behavior of low-lying entanglement spectrum of the system.
  arXiv  Detail & Related papers  (2021-12-11T00:48:02Z)
• Wave functions for high-symmetry, thin microstrip antennas and two-dimensional quantum boxes [48.7576911714538]
  For a spinless quantum particle in a one-dimensional box or an electromagnetic wave in a one-dimensional cavity, the respective Dirichlet and Neumann boundary conditions both lead to non-degenerate wave functions. In two spatial dimensions, the symmetry of the box or microstrip antenna is an important feature that has often been overlooked in the literature.
  arXiv  Detail & Related papers  (2021-08-18T00:57:42Z)
• 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)
• Algebraic derivation of the Energy Eigenvalues for the quantum oscillator defined on the Sphere and the Hyperbolic plane [0.0]
  We use the method proposed by Daskaloyannis for fixing the energy eigenvalues of two-dimensional (2D) quadratically superintegrable systems. We also discuss the qualitative difference of the energy spectra on the sphere and on the hyperbolic plane.
  arXiv  Detail & Related papers  (2021-03-03T16:44:04Z)
• One-to-one correspondence between entanglement mechanics and black hole thermodynamics [0.0]
  We establish a one-to-one mapping between entanglement entropy, energy, and temperature. We show this universally for 4-D spherically symmetrically flat and non-flat space-times with single and multiple horizons.
  arXiv  Detail & Related papers  (2020-10-07T13:57:57Z)
• Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory [0.0]
  Entanglement or modular Hamiltonians play a crucial role in the investigation of correlations in quantum field theories. In this work, we perform the spectrum of the entanglement Hamiltonian for the free compactified boson CFT over a finite spatial interval.
  arXiv  Detail & Related papers  (2020-04-29T17:49:28Z)

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.