Sum-rule analysis of radio-frequency spectroscopy of ultracold Fermi gas

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Shizhong Zhang and Anthony J. Leggett
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA

Received 30 October 2007; published 14 March 2008

Wecarried out an analysis based on sum rules and determinedthe radio-frequency spectroscopy shift observed in Chin et al.'s experiment [C.Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J.Denschlag, and R. Grimm, Science 305, 1128 (2004)]. It isshown that such a shift can be interpreted as spincorrelations peculiar to a BCS-type state. An analytical form forthe shift is obtained which enables us to make quantitativecomparisons with the experiment throughout the crossover. We also calculatedthe width of the resonance. An interesting consequence is noticed,which can possibly be tested by future experiments.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.77.033614
DOI:	10.1103/PhysRevA.77.033614
PACS:	03.75.Ss 03.75.Ss Degenerate Fermi gases YEAR: 2008
KEYWORDS:	BCS theory, fermion systems, lithium, radiofrequency spectra, spectral line shift, sum rules

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