Standard quantum limit of finite-size optical lattice clock in estimating gravitational potential

• URL: http://arxiv.org/abs/2308.03335v1
• Date: Mon, 7 Aug 2023 06:34:11 GMT
• Title: Standard quantum limit of finite-size optical lattice clock in estimating gravitational potential
• Authors: Fumiya Nishimura, Yui Kuramochi, Kazuhiro Yamamoto
• Abstract summary: We evaluate the accuracy limit for estimating gravitational potential using optical lattice clocks by utilizing the quantum Cram'er--Rao bound. The accuracy of the gravitational potential estimation is not a monotonic function of time owing to the effect of gravitational dephasing in finite-size optical lattice clock.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We evaluated the accuracy limit for estimating gravitational potential using optical lattice clocks by utilizing the quantum Cram\'{e}r--Rao bound. We then compared the results for single-layer and multilayer optical lattice clocks. The results indicate that the lower bound of variance of the estimator of gravitational potential using finite-size optical lattice clocks diverges and recovers repeatedly as a function of time. Namely, the accuracy of the gravitational potential estimation is not a monotonic function of time owing to the effect of gravitational dephasing in finite-size optical lattice clock. Further, this effect creates an estimation accuracy limit when attempting to avoid the divergence of the lower bound. When the number of layers in the optical lattice clock is sufficiently large, the limit is independent of the optical lattice clock details. The time required to reach this limit is calculated to be approximately 33 hours for a three-dimensional optical lattice clock consisting of one million cadmium atoms due to Earth's gravity, and approximately the same for other atoms.

Related papers

• Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry [45.73541813564926]
  We study the interplay of the quantum center-of-mass $-$ that can become delocalized $-$ together with the internal clock transitions. We show at the example of a Gaussian laser beam that the proposed quantum-clock interferometers are stable against perturbations from varying optical fields.
  arXiv  Detail & Related papers  (2023-09-25T18:00:03Z)
• 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)
• Quantum time dilation in a gravitational field [39.58317527488534]
  We investigate how the superposition principle affects the gravitational time dilation observed by a simple clock. We show that the emission rate of an atom prepared in a coherent superposition of separated wave packets in a gravitational field is different from the emission rate of an atom in a classical mixture of these packets.
  arXiv  Detail & Related papers  (2022-04-22T10:02:21Z)
• Gravitational time dilation as a resource in quantum sensing [0.0]
  We investigate whether gravitational time dilation may be also used as a resource in quantum information theory. We show that for a freely falling interferometer and for a Mach-Zehnder interferometer, the gravitational time dilation may enhance the precision in estimating the gravitational acceleration for long interferometric times.
  arXiv  Detail & Related papers  (2022-04-06T18:00:05Z)
• Universality-of-clock-rates test using atom interferometry with $T^{3}$ scaling [63.08516384181491]
  Atomic clocks generate delocalized quantum clocks. Tests of universality of clock rates (one facet of LPI) to atom interferometry generating delocalized quantum clocks proposed. Results extend our notion of time, detached from classical and localized philosophies.
  arXiv  Detail & Related papers  (2022-04-05T12:26:56Z)
• A quantum network of entangled optical atomic clocks [0.0]
  We demonstrate the first quantum network of entangled optical clocks using two $88$Sr$+$ ions separated by a macroscopic distance (2 m) We find that entanglement reduces the measurement uncertainty by a factor close to $sqrt2$, as predicted for the Heisenberg limit.
  arXiv  Detail & Related papers  (2021-11-19T17:34:48Z)
• 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)
• High precision differential clock comparisons with a multiplexed optical lattice clock [10.155753113587854]
  We implement a "multiplexed" one-dimensional optical lattice clock in which movable ensembles of ultra-cold strontium atoms are trapped. We observe atom-atom coherence times up to 26 seconds, a 270-fold improvement over the atom-laser coherence time. The unique capabilities offered by this platform pave the way for future studies of precision isotope shift measurements.
  arXiv  Detail & Related papers  (2021-09-24T23:58:33Z)
• Quantum time dilation in atomic spectra [62.997667081978825]
  We demonstrate how quantum time dilation manifests in a spontaneous emission process. The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets. We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
  arXiv  Detail & Related papers  (2020-06-17T18:03:38Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.