Entanglement entropy evolution during gravitational collapse

• URL: http://arxiv.org/abs/2502.14797v1
• Date: Thu, 20 Feb 2025 18:18:16 GMT
• Title: Entanglement entropy evolution during gravitational collapse
• Authors: Alessio Belfiglio, Orlando Luongo, Stefano Mancini, Sebastiano Tomasi,
• Abstract summary: We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. We find that the entanglement entropy exhibits nontrivial scaling and time dependence during collapse. Although the model is idealized, these results provide insights into the generation and scaling of entanglement in the presence of realistic, dynamically evolving gravitational fields.
• Score: 2.3301643766310374
• License:
• Abstract: We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. Starting from a well-controlled initial configuration, we follow the system as it evolves toward the formation of a horizon and, eventually, a singularity. Our approach employs an Ermakov-like equation to determine the time-dependent ground state of the field and calculates the resulting entanglement entropy by tracing out the degrees of freedom inside a spherical region within the matter sphere. We find that the entanglement entropy exhibits nontrivial scaling and time dependence during collapse. Close to the horizon, the entropy can deviate from the simple area law, reflecting the rapid changes in geometry and field configuration. Although the model is idealized, these results provide insights into the generation and scaling of entanglement in the presence of realistic, dynamically evolving gravitational fields.

Related papers

• Thermalization Dynamics in Closed Quantum Many Body Systems: a Precision Large Scale Exact Diagonalization Study [0.0]
  We study the finite-size deviation between the resulting equilibrium state and the thermal state. We find that the deviations are well described by the eigenstate thermalization hypothesis. We also find that local observables relax towards equilibrium exponentially with a relaxation time scale that grows linearly with system length.
  arXiv  Detail & Related papers  (2024-09-27T15:58:05Z)
• Geometric interpretation of timelike entanglement entropy [44.99833362998488]
  Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of spacetime. We propose that the bulk carriers of this holographic timelike entanglement entropy are boundary-anchored extremal surfaces probing analytic continuation of holographic spacetimes into complex coordinates.
  arXiv  Detail & Related papers  (2024-08-28T12:36:34Z)
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production [41.94295877935867]
  This work focuses on a self-interacting field theory of Dirac fermions in an expanding Friedmann-Robertson-Walker universe. We study how the non-trivialative condensates arise and, more importantly, how their real-time evolution has an impact on particle production.
  arXiv  Detail & Related papers  (2024-08-12T14:21:25Z)
• Entanglement entropy in conformal quantum mechanics [68.8204255655161]
  We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
  arXiv  Detail & Related papers  (2023-06-21T14:21:23Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Observational entropic study of Anderson localization [0.0]
  We study the behaviour of the observational entropy in the context of localization-delocalization transition for one-dimensional Aubrey-Andr'e model. For a given coarse-graining, it increases logarithmically with system size in the delocalized phase, and obeys area law in the localized phase. We also find the increase of the observational entropy followed by the quantum quench, is logarithmic in time in the delocalized phase as well as at the transition point, while in the localized phase it oscillates.
  arXiv  Detail & Related papers  (2022-09-21T11:26:43Z)
• Growth of R\'enyi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture [0.0]
  We show that the slope of R'enyi entropies can be determined by means of a spacetime duality transformation. We use this observation to find an explicit exact formula for the slope of R'enyi entropies in all integrable models treatable by thermodynamic Bethe ansatz.
  arXiv  Detail & Related papers  (2022-03-31T17:57:19Z)
• Growth of entanglement entropy under local projective measurements [0.0]
  We show that local projective measurements induce a qualitative modification of the time-growth of the entanglement entropy. In the stationary regime, the logarithmic behavior of the entanglement entropy do not survive in the thermodynamic limit. We numerically show the existence of a single area-law phase for the entanglement entropy.
  arXiv  Detail & Related papers  (2021-09-22T16:56:35Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Nonlinear entanglement growth in inhomogeneous spacetimes [0.0]
  Entment has become central for the characterization of quantum matter both in and out of equilibrium. We study entanglement dynamics both for the case of noninteracting fermions, allowing for exact numerical solutions, and for random unitary circuits representing a paradigmatic class of ergodic systems.
  arXiv  Detail & Related papers  (2020-06-01T08:58:26Z)
• Entropy production in the quantum walk [62.997667081978825]
  We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective. We argue that the evolution of the coin can be modeled as an open two-level system that exchanges energy with the lattice at some effective temperature.
  arXiv  Detail & Related papers  (2020-04-09T23:18:29Z)

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.