Entanglement entropy between virtual and real excitations in quantum electrodynamics
arXiv:1802.06774 · doi:10.1142/S0217751X18500811
Abstract
The aim of this work is to introduce the entanglement entropy of real and virtual excitations of fermion and photon fields. By rewriting the generating functional of quantum electrodynamics theory as an inner product between quantum operators, it is possible to obtain quantum density operators representing the propagation of real and virtual particles. These operators are partial traces, where the degrees of freedom traced out are unobserved excitations. Then the Von Neumann definition of entropy can be applied to these quantum operators and in particular, for the partial traces taken over the internal or external degrees of freedom. A universal behavior is obtained for the entanglement entropy for different quantum fields at zero order in the coupling constant. In order to obtain numerical results at different orders in the perturbation expansion, the Bloch-Nordsieck model is considered, where it it shown that for some particular values of the electric charge, the von Neumann entropy increases or decreases with respect to the non-interacting case.
21 pages
References in corpus (13)
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Entanglement Entropy in the O(N) model
- A "general boundary" formulation for quantum mechanics and quantum gravity
- Universal entanglement entropy in 2D conformal quantum critical points
- Entanglement entropy and negative energy in two dimensions
- Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity
- Relevant Perturbation of Entanglement Entropy and Stationarity
- Schroedinger's cat and the clock: Lessons for quantum gravity
- States on timelike hypersurfaces in quantum field theory
- What surface maximizes entanglement entropy?
- States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory
- Entanglement entropy between real and virtual particles in quantum field theory
- Renormalized entropy of entanglement in relativistic field theory