Quantum Reference Frames for Lorentz Symmetry

Autor(en)

Luca Apadula, Esteban Castro-Ruiz, Časlav Brukner

Abstrakt

Since their first introduction, Quantum Reference Frame (QRF) transformations have been extensively discussed, generalising the covariance of physical laws to the quantum domain. Despite important progress, a formulation of QRF transformations for Lorentz symmetry is still lacking. The present work aims to fill this gap. We first introduce a reformulation of relativistic quantum mechanics independent of any notion of preferred temporal slicing. Based on this, we define transformations that switch between the perspectives of different relativistic QRFs. We introduce a notion of “quantum Lorentz transformations” and “superposition of Lorentz boosts”, acting on the external degrees of freedom of a quantum particle. We analyse two effects, superposition of time dilations and superposition of length contractions, that arise only if the reference frames exhibit both relativistic and quantum-mechanical features. Finally, we discuss how the effects could be observed by measuring the wave-packet extensions from relativistic QRFs.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW), Eidgenössische Technische Hochschule Zürich

Journal

Quantum

Band

8

Anzahl der Seiten

17

ISSN

2521-327X

DOI

https://doi.org/10.48550/arXiv.2212.14081

Publikationsdatum

08-2024

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103028 Relativitätstheorie

ASJC Scopus Sachgebiete

Atomic and Molecular Physics, and Optics, Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/058e1be7-9f66-4d44-9c78-523f38851d55