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19 April 2024
 
  » arxiv » 1111.0999

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Clock shift in a strongly interacting two-dimensional Fermi gas
Christian Langmack ; Marcus Barth ; Wilhelm Zwerger ; Eric Braaten ;
Date 3 Nov 2011
AbstractWe derive universal relations for the radio-frequency (rf) spectroscopy of a two-dimensional Fermi gas consisting of two spin states with a resonant S-wave interaction. The rf transition rate has a high-frequency tail that is proportional to the contact and displays logarithmic scaling violations, decreasing asymptotically like $1/(omega^2 ln^2 omega)$. Its coefficient is proportional to $ln^2(a_{2D}’/a_{2D})$, where $a_{2D}$ and $a_{2D}’$ are the 2-dimensional scattering lengths associated with initial-state and final-state interactions. The clock shift is proportional to the contact and to $ln(a_{2D}’/a_{2D})$. If $|ln(a_{2D}’/a_{2D})| gg 1$, the clock shift arises as a cancellation between much larger contributions proportional to $ln^2(a_{2D}’/a_{2D})$ from bound-bound and bound-free rf transitions.
Source arXiv, 1111.0999
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