Angular Momentum Oscillations in Rotating Two-Dimensional Fermi Gases Confined by Harmonic Traps
DOI:
https://doi.org/10.67603/jaate.v1i02.10440Keywords:
Ultracold Fermi gases, Angular momentum, Quantum oscillations, Rotating traps, Harmonic confinementAbstract
We investigate the angular momentum of a two-dimensional non-interacting Fermi gas confined in a rotating harmonic trap. By employing a quantum statistical approach, analytical expressions for the angular momentum are derived and analyzed as functions of particle number and rotation frequency. The rotational motion introduces a shell structure in the energy spectrum, giving rise to oscillatory behavior analogous to the de Haas–van Alphen oscillations observed in electronic systems subjected to magnetic fields. Numerical calculations reveal that these oscillations are most pronounced for weak rotation and small particle numbers, while they become progressively damped as the particle number increases. The results emphasize the close analogy between ultracold rotating gases and charged particles in magnetic fields and provide further insight into quantum rotational effects in confined Fermi systems.
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References
M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell"Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor"SCIENCE , VOL 269 ,(1995)
K. B. Davis, M.-O. Mewes," Bose-Einstein Condensation in a Gas of Sodium Atoms", PHYSICAL .REVIEW LETTERS VOLUME 3, 2020
C. C. Bradley, C. A. Sackett, J.J. Tollett, R. G. Hulet," Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions" PHYSICAL REVIEW LETTERS VOLUME 75, 1995
Sonja Franke-Arnold," Optical angular momentum and atoms",the Royal Society.publishing, 2017
Alan L. Migdall, John V. Prodan, William D. Phillips," Alan L. Migdall, John V. Prodan, ' and William D. Phillips" PHYSICAL REVIEW LETTERS VOLUME 54, 1985
L.Landau,"Diamagnetismus der Metalle",. Z. Phys. 64, 629 (1930) L. Landau~
" De Haas–Van Alphen Oscillations", Quantum Theory of Conducting Matter pp 133-149
Nicolas Doiron-Leyraud, Cyril Proust, David LeBoeuf," Quantum oscillations and the Fermi surface in an
underdoped high-Tc superconductor", NATURE Vol 447 , 2007
Sandro Stringari," Diffused Vorticity and Moment of Inertia of a Spin-Orbit Coupled Bose-Einstein Condensate", PHYSICAL REVIEW LETTERS PRL 118, (2017)
Y. Lin, K. Jimenez-garcia, and I. B. Spielman, Spin-orbit-coupled boseeinstein condensates, Nature, issue.7336, pp.47183-86, 2011.
L. Landau ,E.M. Lifshitz," Fluid Mechanics ", Course of Theoretical Physics, Volume 6
Ch. Grenier, C. Kollath, A. Georges," Quantum oscillations in ultracold Fermi gases: Realizations with rotating gases or artificial gauge fields", PHYSICAL REVIEW A 87, 033603 (2013)
Johannes Knolle , Nigel R. Cooper," Anomalous de Haas–van Alphen Effect in InAs=GaSb Quantum Wells", PHYSICAL REVIEW LETTERS PRL 118, (2017)
L. Landau ,E.M. Lifshitz,"MECHANICS", Course of Theoretical Physics, Volume 1
K Bencheikh, S Medjedel, G Vignale ," Current reversals in rapidly rotating ultra-cold Fermi gases", Physical Review A 89 (6), (2014)
N.R. Cooper," Rapidly rotating atomic gases",Advances in Physics Vol. 57, (2008)
Jean Hladik,Michel Chrysos,Pierre-Emmanuel Hladik,Lorenzo Ugo Ancarani," Mécanique quantique
atomes et noyaux applications technologiques"
H. Na¨ıdja, K. Bencheikh, J. Bartel, P. Quentin," System of fermions confined in a harmonic potential and subject to a magnetic field or a rotational motion",PHYSICAL REVIEW A 83, (2011)
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