Entanglement in an expanding spacetime

2005/06/14 by J. L. Ball, Jonathan L. Ball, Ivette Fuentes-Schuller +3 · 12 citations
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum cosmology #Quantum discord #Quantum entanglement #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Scalar field #Spacetime #Squashed entanglement #Theoretical physics #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.07.028

published as Phys.Lett. A359 (2006) 550-554 · 4 pages, no figures; I. F-S published previously under Fuentes-Guridi

arxiv created 2005/06/14 · openalex publication_date 2006/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that a dynamical spacetime generates entanglement between modes of a quantum field. Conversely, the entanglement encodes information concerning the underlying spacetime structure, which hints at the prospect of applications of this observation to cosmology. Here we illustrate this point by way of an analytically exactly soluble example, that of a scalar quantum field on a two-dimensional asymptotically flat Robertson-Walker expanding spacetime. We explicitly calculate the entanglement in the far future, for a quantum field residing in the vacuum state in the distant past. In this toy universe, it is possible to fully reconstruct the parameters of the cosmic history from the entanglement entropy.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Quantum Fields in Curved Space
• Quantum cryptography based on Bell’s theorem
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• Quantum computing

Cited by

• Quantum estimation of the Schwarzschild spacetime parameters of the Earth
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• Relativistic Quantum Information of Anyons
• Relativistic three-partite non-locality
• Observer-dependent entanglement
• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Generating entangled fermions by accelerated measurements on the vacuum
• Analog cosmological particle generation in a superconducting circuit
• Spacetime anisotropy affects cosmological entanglement
• Entanglement in anisotropic expanding spacetime
• Entanglement production in Einstein-Cartan theory
• Quantum steering for continuous variable in de Sitter space