Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit
arXiv:2405.15546 · doi:10.1088/1361-6382/ad7774
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 Schrödinger 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.
17 pages, 3 figures
References in corpus (15)
- Quantum Field Theory on Noncommutative Spaces
- Minimal Length Scale Scenarios for Quantum Gravity
- Tests of Lorentz invariance: a 2013 update
- Schrödinger cat states of a 16-microgram mechanical oscillator
- Dynamics with Infinitely Many Derivatives: The Initial Value Problem
- Nonlocal quantum gravity and M-theory
- Towards LHC Physics with Non-local Standard Model
- Tests of Quantum Gravity induced non-locality via opto-mechanical quantum oscillators
- Nonlocal Scalar Quantum Field Theory from Causal Sets
- D-Branes, Tachyons, and String Field Theory
- Low energy signatures of nonlocal field theories
- Emergence of string-like physics from Lorentz invariance in loop quantum gravity
- Modified non-local gravity
- Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
- Tests of Quantum Gravity-Induced Non-Locality: Hamiltonian formulation of a non-local harmonic oscillator