Probing Lambda-Gravity with Bose-Einstein Condensate - INSPIRE

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Probing Lambda-Gravity with Bose-Einstein Condensate

Hector A. Fernandez-Melendez
(
- Southampton U.
)
,
Alexander Belyaev
(
- Southampton U. and
- Rutherford
)
,
Vahe Gurzadyan
(
- Yerevan State U. and
- Yerevan Phys. Inst.
)
,
Ivette Fuentes
(
- Southampton U. and
- Oxford U.
)

Sep 29, 2024

9 pages

e-Print:

2409.19755 [quant-ph]

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Abstract: (arXiv)

We propose a precise test of two fundamental gravitational constants using a novel detector concept that exploits the dynamics of quantum phononic excitations in a trapped Bose-Einstein condensate (BEC), operable at the scale of table-top experiments. In this setup, the sensitivity is enhanced by approximately two orders of magnitude through the use of a tritter operation, which mixes phononic excitations with the BEC's ground state. The BEC exhibits unique sensitivity to the two key components of the gravitational potential in

\Lambda

-gravity: the Newtonian

GM/r

term and the cosmological constant

\Lambda r^2

. Using state-of-the-art experimental design, we predict that the gravitational constant

G

could be measured with an accuracy up to

10^{-17}

N m

^2

/kg

^2

, representing an improvement by two orders of magnitude over current measurements. Moreover, this experiment could establish the best Earth-based upper limit on

\Lambda

at

<10^{-31}

m

^{-2}

, marking the first laboratory-based probe of the cosmological constant. Additionally, the setup allows for the measurement of the distance-dependent behaviour of each term in the gravitational potential, providing a novel means to test modified gravity theories.

Note:

9 pages, 3 figures, 1 table

gravitation, potential
gravitation, model
gravitation, fundamental constant
detector, design
condensation, Bose-Einstein
excited state
sensitivity
cosmological constant
ground state

References(76)

Figures(3)

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