On the relational flow of time in quantum mechanics, new time-energy uncertainty principles and gravitational-like effects

by Prof. Eliahu Cohen

Bar-Ilan University

at Quantum optics seminar

Wed, 20 Nov 2024, 16:00
Zoom Only

Abstract

Zoom link: https://us02web.zoom.us/j/82816314216?pwd=HidFEcSkul3LAaDDCeS8OzqyHyZXho.1

Abstract:
The Page-Wootters approach [1] enables, by means of entanglement, to reintroduce time into the dynamics of closed systems in quantum mechanics and quantum gravity models.After a brief overview [2], I'll discuss the relational notion of time as determined in different clocks' perspectives and use it to derive new time-energy uncertainty relations [3]. I'll then discuss cases of accelerating, gravitating and interacting clock systems, showing effects resembling gravitational time dilation [4] and nonlocality in time [5]. Finally, I'll generalize this treatment towards spatiotemporal frames of references [6] and suggest an experimental pathway for testing the above predictions using cold atoms.

[1] Page, D. N., & Wootters, W. K. (1983). Evolution without evolution: Dynamics described by stationary observables. Physical Review D, 27(12), 2885.
[2] Suleymanov, M., & Cohen, E. (2023). Quantum frames of reference and the relational flow of time. The European Physical Journal Special Topics, 232(20), 3325-3337.
[3] Paiva, I. L., Lobo, A. C., & Cohen, E. (2022). Flow of time during energy measurements and the resulting time-energy uncertainty relations. Quantum, 6, 683.
[4] Paiva, I. L., Te’eni, A., Peled, B. Y., Cohen, E., & Aharonov, Y. (2022). Non-inertial quantum clock frames lead to non-Hermitian dynamics. Communications Physics, 5(1), 298.
[5] Paiva, I. L., Nowakowski, M., & Cohen, E. (2022). Dynamical nonlocality in quantum time via modular operators. Physical Review A, 105(4), 042207.
[6] Suleymanov, M., Paiva, I. L., & Cohen, E. (2024). Nonrelativistic spatiotemporal quantum reference frames. Physical Review A, 109(3), 032205.

Created on 16-11-2024 by Folman, Ron (folman)
Updaded on 16-11-2024 by Folman, Ron (folman)