Entanglement of self interacting scalar fields in an expanding spacetime

Abstract

We evaluate self-interaction effects on the quantum correlations of field modes of opposite momenta for scalar $\lambda {\varphi }^4$ theory in a two-dimensional asymptotically flat Robertson-Walker spacetime. Such correlations are encoded both in the von-Neumann entropy defined through the reduced density matrix in one of the modes and in the covariance expressed in terms of the expectation value of the number operators for each mode in the evolved state. The entanglement between field modes carries information about the underlying spacetime evolution.

arXiv comment6 pages, 3 figuras

References in corpus (19)

• Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
• Teleportation with a uniformly accelerated partner
• Quantum entropy and special relativity
• Entanglement entropy in Galilean conformal field theories and flat holography
• Universality of corner entanglement in conformal field theories
• Optimal quantum estimation of the Unruh-Hawking effect
• Entanglement in an expanding spacetime
• Entanglement of Dirac fields in an expanding spacetime
• Phonon creation by gravitational waves
• Quantum metrology for relativistic quantum fields
• Entanglement in curved spacetimes and cosmology
• Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies
• Quantum estimation of the Schwarzschild space-time parameters of the Earth
• Motion generates entanglement
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Entanglement of Quantum Fluctuations in the Inflationary Universe
• Quantum gates and multipartite entanglement resonances realized by non-uniform cavity motion
• Weak Interaction Processes: Which Quantum Information is revealed?
• Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes

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• Momentum correlations of scattered particles in quantum field theory: one-loop entanglement generation
• Interacting fermions in an expanding spacetime
• Entanglement between two scalar fields in an expanding spacetime