Abstract
We show that quantum fluids enable experimental analogs of relativistic orbital precession in the presence of non-paraxial effects. The analysis is performed by the hydrodynamic limit of the Schrödinger equation. The non-commutating variables in the phase-space produce a precession and an acceleration of the orbital motion. The precession of the orbit is formally identical to the famous orbital precession of the perihelion of Mercury used by Einstein to validate the corrections of general relativity to Newton’s theory. In our case, the corrections are due to the modified uncertainty principle. The results may enable novel relativistic analogs in the laboratory, also including sub-Planckian phenomenology.
Highlights
Quantum simulations of fundamental theories realize novel tests and investigations of inaccessible physical regimes
The analogy is a fundamental tool in physics, and experimental and theoretical analogs may deepen our understanding of quantum gravity theories [22], and of other challenging proposals as time-asymmetric quantum mechanics [23,24,25]
We study the orbital precession of a quantum fluid (figure 1(a)) due to the perturbation to quantum mechanics analog models induced by non-paraxial terms Quantum fluids are studied in the vast literature concerning Bose–Einstein condensates (BECs), classical and quantum nonlinear optics and polaritonics [26,27,28,29,30]
Summary
We show that quantum fluids enable experimental analogs of relativistic orbital precession in the licence. The analysis is performed by the hydrodynamic limit of the. The non-commutating variables in the phase-space produce a precession and attribution to the an acceleration of the orbital motion. The precession of the orbit is formally identical to the famous author(s) and the title of the work, journal citation orbital precession of the perihelion of Mercury used by Einstein to validate the corrections of general and DOI. The corrections are due to the modified uncertainty principle. The results may enable novel relativistic analogs in the laboratory, including sub-
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call