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Time-System Entanglement and Special Relativity
- Source :
- INSPIRE-HEP
- Publication Year :
- 2022
-
Abstract
- We know that space and time are treated almost equally in classical physics, but we also know that this is not the case for quantum mechanics. A quantum description of both space and time is important to really understand the quantum nature of reality. The Page-Wootters mechanism of quantum time is a promising starting point, according to which the evolution of the quantum system is described by the entanglement between it and quantum temporal degrees of freedom. In this paper, we consider a qubit clock that is entangled with a quantum system due to the Wigner rotation induced by Lorentz transformation. We study how this time-system entanglement depends on the rapidity of the Lorentz boost. We consider the case of a spin-1/2 particle with Gaussian momentum distribution as a concrete example. We also compare the time-system entanglement entropy with the spin-momentum entanglement entropy and find that the former is smaller than the latter.<br />6 pages, 4 figures; a new paragraph comparing Time-System entanglement entropy with Spin-Momentum entanglement entropy is provided
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- INSPIRE-HEP
- Accession number :
- edsair.doi.dedup.....25ae59aca1a426335884e8e16d87f15e