PIRSA:12060068

Entanglement Generation in Relativistic Quantum Fields

APA

(2012). Entanglement Generation in Relativistic Quantum Fields. Perimeter Institute. https://pirsa.org/12060068

MLA

Entanglement Generation in Relativistic Quantum Fields. Perimeter Institute, Jun. 28, 2012, https://pirsa.org/12060068

BibTex

          @misc{ pirsa_PIRSA:12060068,
            doi = {10.48660/12060068},
            url = {https://pirsa.org/12060068},
            author = {},
            keywords = {},
            language = {en},
            title = {Entanglement Generation in Relativistic Quantum Fields},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {jun},
            note = {PIRSA:12060068 see, \url{https://pirsa.org}}
          }
          

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 modedecompositions 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 initialsingle-mode squeezing, for which we provide an explicit formula.Applications to quantum fields in curved spacetimes, such as an expanding universe, are discussed.