Islands, Double Holography, and the Entanglement Membrane

• URL: http://arxiv.org/abs/2412.15070v1
• Date: Thu, 19 Dec 2024 17:21:18 GMT
• Title: Islands, Double Holography, and the Entanglement Membrane
• Authors: Hanzhi Jiang, Mike Blake, Anthony P. Thompson,
• Abstract summary: The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. We study the connection between these calculations and the thermalisation of chaotic quantum many-body systems.
• Score: 0.3186130813218338
• License:
• Abstract: The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body systems, using a coarse-grained description of entanglement dynamics known as the entanglement membrane. Starting from a double-holographic model of eternal two-sided asymptotically AdS$_d$ ($d>2$) black hole each coupled to a flat $d$-dimensional bath, we show that the entanglement dynamics in the late-time, large-subregion limit is described by entanglement membrane, thereby establishing a quantitative equivalence between a semi-classical gravity and a chaotic quantum many-body system calculation of the Page curve.

Related papers

• Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate [14.50864620620941]
  We investigate the quench dynamics of a two-dimensional Rashba spin-orbit coupled Bose-Einstein condensate. During this quench, topological defects emerge in the form of vortices.
  arXiv  Detail & Related papers  (2024-12-25T09:31:42Z)
• Emergent gravity from the correlation of spin-$\tfrac{1}{2}$ systems coupled with a scalar field [0.0]
  This paper introduces several ideas of emergent gravity, which come from a system similar to an ensemble of quantum spin-$tfrac12$ particles. To derive a physically relevant theory, the model is constructed by quantizing a scalar field in curved space-time.
  arXiv  Detail & Related papers  (2024-05-03T14:34:48Z)
• 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)
• Entanglement constraint on wave-particle duality for tripartite systems [0.0]
  A global multi-partite entanglement may place a constraint on the wave-particle duality. We perform quantum state tomography to reconstruct the reduced density matrix. We show that, theoretically and experimentally, the quantitative wave-particle duality is indeed constrained by the global tripartite entanglement.
  arXiv  Detail & Related papers  (2023-11-16T03:28:48Z)
• Lindbladian dissipation of strongly-correlated quantum matter [0.9290757451344674]
  The Sachdev-Ye-Kitaev Lindbladian is a paradigmatic solvable model of dissipative many-body quantum chaos. Analytical progress is possible by developing a mean-field theory for the Liouvillian time evolution on the Keldysh contour.
  arXiv  Detail & Related papers  (2021-12-22T18:17:52Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Dynamical Evolution of Entanglement in Disordered Oscillator Systems [0.0]
  We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product states that are associated with a tiling (decomposition) of the $d$-dimensional lattice, the dynamical evolution of entanglement follows an area law in all times.
  arXiv  Detail & Related papers  (2021-04-28T15:16:50Z)
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation [0.0]
  An upper limit to distillable entanglement has an exponential decay defined by a geometric decay constant. When regulated at short distances with a spatial lattice, this entanglement abruptly vanishes beyond a dimensionless separation. We highlight potential impacts of the distillable entanglement structure on effective field theories, lattice QCD calculations and future quantum simulations.
  arXiv  Detail & Related papers  (2020-08-09T04:26:49Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)

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.