Transition probabilities for a Rydberg atom in the field of a gravitational wave

• URL: http://arxiv.org/abs/2412.02378v1
• Date: Tue, 03 Dec 2024 11:04:29 GMT
• Title: Transition probabilities for a Rydberg atom in the field of a gravitational wave
• Authors: Uwe R. Fischer,
• Abstract summary: The possibility of an atomic detection of gravitational waves on earth is considered. Rydberg atoms with principal quantum numbers in a region $104ldots 105$ might result in transition probabilities which are high enough to open up such a possibility.
• Score: 0.0
• License:
• Abstract: The possibility of an atomic detection of gravitational waves on earth is considered. The combination of extremely high lifetimes and resulting small radiative transition probabilities with rapidly growing interaction strength for Rydberg atoms having principal quantum numbers in a region $10^4\ldots 10^5$ might result in transition probabilities which are high enough to open up such a possibility. Transition probabilities and absorption cross sections are calculated as a function of the relevant quantum numbers of a highly excited electron. The orders of magnitude for the transition rate are evaluated for a realistic source of gravitational radiation. It is shown that no specific particle property enters the expression for the absorption cross section for gravitational waves. The only fundamental constant contained in this cross section is, apart from the fine structure constant $\alpha$, the Planck length $L^*=(\hbar G /c^3)^{1/2}$.

Related papers

• Fractal ground state of ion chains in periodic potentials [0.0]
  Trapped ions in a periodic potential are a paradigm of a frustrated Wigner crystal. The dynamics is captured by a long-range Frenkel-Kontorova model. We discuss the experimental parameters as well as the features that allow one to observe and reveal our predictions.
  arXiv  Detail & Related papers  (2024-03-23T13:48:07Z)
• Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy [0.0]
  We analyze how the accuracy of mass ratios may be improved by providing experimental transition frequencies between levels with larger quantum numbers. For the Rydberg constant and the charge radii, improvements by factors of 4 to 11 are projected.
  arXiv  Detail & Related papers  (2024-03-20T22:43:29Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
  This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Quantum enhanced sensing by echoing spin-nematic squeezing in atomic Bose-Einstein condensate [20.71025384963426]
  We present protocols based on echoing spin-nematic squeezing to achieve record high enhancement factors in atomic Bose-Einstein condensate. Our work highlights the excellent many-body coherence of spin-nematic squeezing and suggests its possible quantum metrological applications in atomic magnetometer, atomic optical clock, and fundamental testing of Lorentz symmetry violation, etc.
  arXiv  Detail & Related papers  (2022-12-18T16:40:28Z)
• Quantum gates with weak van der Waals interactions of neutral Rydberg atoms [18.24045230829502]
  We study a controlled-phase gate with an arbitrary phase and extend it to the controlled-NOT gate. The gates need only three steps for coupling one Rydberg state. They can work with very weak interactions so that well-separated qubits can be entangled.
  arXiv  Detail & Related papers  (2022-12-13T01:55:03Z)
• Analytic study of conformable Schrodinger equation with Hydrogen atom [0.0]
  Conformable Schrodinger equation for hydrogen atom with given conformable potential is solved. Traditional energy levels and wave function for hydrogen atom are recovered when $alpha = 1$.
  arXiv  Detail & Related papers  (2022-09-05T16:12:32Z)
• Electrically tuned hyperfine spectrum in neutral Tb(II)(Cp$^{\rm{iPr5}}$)$_2$ single-molecule magnet [64.10537606150362]
  Both molecular electronic and nuclear spin levels can be used as qubits. In solid state systems with dopants, an electric field was shown to effectively change the spacing between the nuclear spin qubit levels. This hyperfine Stark effect may be useful for applications of molecular nuclear spins for quantum computing.
  arXiv  Detail & Related papers  (2020-07-31T01:48:57Z)
• Gravitational waves affect vacuum entanglement [68.8204255655161]
  The entanglement harvesting protocol is an operational way to probe vacuum entanglement. Using this protocol, it is demonstrated that while the transition probability of an individual atom is unaffected by the presence of a gravitational wave, the entanglement harvested by two atoms depends sensitively on the frequency of the gravitational wave. This suggests that the entanglement signature left by a gravitational wave may be useful in characterizing its properties, and potentially useful in exploring the gravitational-wave memory effect and gravitational-wave induced decoherence.
  arXiv  Detail & Related papers  (2020-06-19T18:01:04Z)
• Probing spin correlations in a Bose-Einstein condensate near the single atom level [26.500149465292246]
  We produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. A novel fluorescence imaging technique with sensitivity $Delta N sim 1.6$ atom enables us to demonstrate the role of quantum fluctuations in the initial dynamics.
  arXiv  Detail & Related papers  (2020-04-20T00:50:47Z)
• Spontaneous emission and energy shifts of a Rydberg rubidium atom close to an optical nanofiber [0.0]
  We report on numerical calculations of the spontaneous emission rates and Lamb shifts of a $87textRb$ atom in a Rydberg-excited state. Our work is an important initial step towards building a Rydberg atom-nanofiber interface for quantum optics and quantum information purposes.
  arXiv  Detail & Related papers  (2020-02-04T13:31:59Z)

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.