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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State
arXiv
Authors: Felix Finster, Magdalena Lottner, Alexander V. Sobolev
Year
2023
Paper ID
54123
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is introduced. An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero. The technical core of the paper is to generalize a theorem of Harold Widom to pseudo-differential operators whose principal symbols develop a specific discontinuity at a single point.
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- This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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- We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime.
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