Time dilation of quantum clocks in a relativistic gravitational potential
- URL: http://arxiv.org/abs/2304.04281v5
- Date: Mon, 16 Sep 2024 14:33:57 GMT
- Title: Time dilation of quantum clocks in a relativistic gravitational potential
- Authors: Tommaso Favalli, Augusto Smerzi,
- Abstract summary: We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity.
The gravitational redshift, as emerging from our framework, is also proposed and discussed.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism. The gravitational redshift, as emerging from our framework, is also proposed and discussed.
Related papers
- Synchronization and Fundamental Time: a Connection between Relativity
and Quantum Mechanics [0.0]
An interesting connection between special relativity and quantum mechanics was put forward by Louis de Broglie, about 60 years ago, who focused on the link between synchronization in a rotating frame and the quantization of the angular momentum.
Here we generalise his approach to curved spacetime, using the gravitoelectromagnetic analogy, which can be applied to describe the weak gravitational field around rotating sources, and give a new interpretation of the results.
arXiv Detail & Related papers (2023-09-02T17:30:20Z) - On the feasibility of detecting quantum delocalization effects on relativistic time dilation in optical clocks [0.0]
We derive the predicted time dilation of delocalized atomic clocks in an optical lattice setup in the presence of a gravitational field.
We investigate exotic quantum states of motion whose relativistic time dilation is outside of the realm of classical general relativity.
We show that the magnitude of our predicted quantum relativistic time dilation effect remains just out of detectable reach for the current generation of $87mathrmSr$ optical lattice clocks.
arXiv Detail & Related papers (2023-07-18T03:10:28Z) - Emergence of Gravitational Potential and Time Dilation from
Non-interacting Systems Coupled to a Global Quantum Clock [0.0]
We study gravitational back-reaction within time formulations of quantum mechanics.
We show that interactions between coordinate time and mass-energy in a global Wheeler-DeWitt-like constraint lead to gravitational time dilation.
arXiv Detail & Related papers (2023-04-03T18:00:26Z) - Universality of quantum time dilation [0.0]
We show that kinematic quantum time dilation is universal for any clock mechanism, while gravitational quantum time dilation is not.
We also show that although both of these effects reduce to incoherent averaging of different classical time dilation contributions, there exists an additional quantum time dilation effect that has no classical analog and can be extracted from higher-order corrections to the system's Hamiltonian.
arXiv Detail & Related papers (2022-11-04T12:59:00Z) - Non-inertial quantum clock frames lead to non-Hermitian dynamics [0.0]
We study an accelerating massive quantum particle with an internal clock system.
We show that the evolution from the perspective of the particle's internal clock is non-Hermitian.
arXiv Detail & Related papers (2022-04-08T16:52:24Z) - Resolving the gravitational redshift within a millimeter atomic sample [94.94540201762686]
Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates.
We measure a linear frequency gradient consistent with the gravitational redshift within a single millimeter scale sample of ultracold strontium.
arXiv Detail & Related papers (2021-09-24T23:58:35Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Equivalence of approaches to relational quantum dynamics in relativistic
settings [68.8204255655161]
We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector.
We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
arXiv Detail & Related papers (2020-07-01T16:12:24Z) - There is only one time [110.83289076967895]
We draw a picture of physical systems that allows us to recognize what is this thing called "time"
We derive the Schr"odinger equation in the first case, and the Hamilton equations of motion in the second one.
arXiv Detail & Related papers (2020-06-22T09:54:46Z) - Quantum time dilation: A new test of relativistic quantum theory [91.3755431537592]
A novel quantum time dilation effect is shown to arise when a clock moves in a quantum superposition of two relativistic velocities.
This effect is argued to be measurable using existing atomic interferometry techniques, potentially offering a new test of relativistic quantum theory.
arXiv Detail & Related papers (2020-04-22T19:26:53Z) - Atom-interferometric test of the universality of gravitational redshift
and free fall [48.82541018696971]
Light-pulse atom interferometers constitute powerful quantum sensors for inertial forces.
We present a specific geometry which together with state transitions leads to a scheme that is sensitive to both violations of the universality of free fall and gravitational redshift.
arXiv Detail & Related papers (2020-01-27T13:35:30Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.