The Time Machine Factory [unspeakable, speakable] on Time Travel - TMF2024

Quantum clocks, reference frames and the relational flow of time

25 Sept 2024, 10:00

35m

Vallauri Hall (INRiM historical building, Turin)

talk Session V. Teleportation, entanglement and decoherence

Speaker

Prof. Elihau Cohen (Faculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar Ilan University, Ramat Gan 5290002, Israel )

Description

In this talk I will use the Page-Wootters "timeless" framework for analyzing dynamics from the perspective of inertial and non-inertial quantum clocks. I will derive a new time-energy uncertainty relation indicating that the duration of an energy measurement carried out by an external system cannot be performed arbitrarily fast from the perspective of the internal clock [1]. In addition, when using the relativistic mass-energy equivalence to study an accelerating massive quantum particle with an internal clock I will show that the evolution from the perspective of that clock is non-Hermitian [2]. As a particular consequence, I will prove that the effective Hamiltonian of two gravitationally interacting particles is non-Hermitian from the perspective of the clock of either particle [2]. If time lets me, I will discuss some related results addressing dynamical nonlocality [3] and spatiotemporal quantum reference frames [4] in light of the relativistic independence principle [5].
References
[1] I.L. Paiva, A.C. Lobo, and E. Cohen, Quantum 6 (2022) 683.
[2] I.L. Paiva, A. Te’eni, B.Y. Peled, E. Cohen, and Y. Aharonov, Commun. Phys. 5 (2022) 298.
[3] I.L. Paiva, M. Nowakowski, and E. Cohen, Phys. Rev. A 105 (2022) 042207.
[4] M. Suleymanov, I.L. Paiva, and E. Cohen, Phys. Rev. A 109 (2024) 032205.
[5] A. Carmi, and E. Cohen, Sci. Adv. 5 (2019) eaav8370

Presentation materials

Cohen_TMF24_Short version.pptx