Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit
Year: 2024
Authors: Ciszak M., Belenchia A., Ortolan A., Marino F.
Autors Affiliation: CNR, Ist Nazl Ott, LENS, I-50019 Sesto Fiorentino, FI, Italy; German Aerosp Ctr DLR, Inst Quantum Technol, D-89077 Ulm, Germany; INFN, Lab Nazl Legnaro, Legnaro, Padova, Italy; INFN, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy.
Abstract: Several approaches to quantum gravity lead to nonlocal modifications of fields’ dynamics. This, in turn, can give rise to nonlocal modifications of quantum mechanics at non-relativistic energies. Here, we analyze the nonlocal Schr & ouml;dinger evolution of a quantum harmonic oscillator in one such scenario, where the problem can be addressed without the use of perturbation theory. We demonstrate that although deviations from standard quantum predictions occur at low occupation numbers, where they could potentially be detected or constrained by high-precision experiments, the classical limits of quantum probability densities and free energy remain unaffected up to energies comparable with the nonlocality scale. These results provide an example of nonlocal quantum dynamics compatible with classical predictions, suggesting massive quantum objects as a promising avenue for testing some phenomenological aspects of quantum gravity.
Journal/Review: CLASSICAL AND QUANTUM GRAVITY
Volume: 41 (20) Pages from: 205003-1 to: 205003-14
More Information: A B acknowledges support from the Horizon Europe EIC Pathfinder project QuCoM (Grant Agreement No. 10104697).KeyWords: quantum gravity; nonlocal field theories; quantum harmonic oscillatorDOI: 10.1088/1361-6382/ad7774