Entanglement generation in relativistic quantum fields

Abstract

We present a general, analytic recipe to compute the entanglement that is generated between arbitrary, discrete modes of bosonic quantum fields by Bogoliubov transformations. Our setup allows the complete characterization of the quantum correlations in all Gaussian field states. Additionally, it holds for all Bogoliubov transformations. These are commonly applied in quantum optics for the description of squeezing operations, relate the mode decompositions of observers in different regions of curved spacetimes, and describe observers moving along non-stationary trajectories. We focus on a quantum optical example in a cavity quantum electrodynamics setting: an uncharged scalar field within a cavity provides a model for an optical resonator, in which entanglement is created by non-uniform acceleration. We show that the amount of generated entanglement can be magnified by initial single-mode squeezing, for which we provide an explicit formula. Applications to quantum fields in curved spacetimes, such as an expanding universe, are discussed.

8 pages, 2 figures, Ivette Fuentes previously published as Ivette Fuentes-Guridi and Ivette Fuentes-Schuller; v2: published version (online), to appear in the J. Mod. Opt. Special Issue on the Physics of Quantum Electronics

References in corpus (7)

• Entanglement of Dirac fields in non-inertial frames
• Quantum Entanglement of Moving Bodies
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Entanglement in an expanding spacetime
• Continuous variable entanglement sharing in non-inertial frames
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Cited by in corpus (2)

• Relativistic Quantum Teleportation with Superconducting Circuits
• Quantum gates and multipartite entanglement resonances realized by non-uniform cavity motion