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- Title
Time-system entanglement and special relativity.
- Authors
Loc, Ngo Phuc Duc
- 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.
- Subjects
SPECIAL relativity (Physics); LORENTZ transformations; QUANTUM mechanics; DEGREES of freedom; MOMENTUM distributions; GAUSSIAN distribution
- Publication
Modern Physics Letters A, 2024, Vol 39, Issue 1, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732323501833