Chapter

Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance

David Pekker and Eugene Demler

in Many-Body Physics with Ultracold Gases

Published in print November 2012 | ISBN: 9780199661886
Published online January 2013 | e-ISBN: 9780191748356 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199661886.003.0009

Series: Lecture Notes of the Les Houches Summer School

Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance

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Measuring the tunability of effective two-body interactions near Feshbach resonances is a powerful, experimental tool in systems of ultracold atoms. It has been used to explore a variety of intriguing phenomena in recent experiments. This chapter applies the method of collective mode instabilities to the concrete example of quenches of the non-interacting Fermi gas to the strongly interacting regime. Section 9.3 begins by discussing the relation between linear response and collective modes. It shows how to compute the pairing and the ferromagnetic responses using the equation of motion formalism. Section 9.4 demonstrates how to describe a Feshbach resonance using a pseudo-potential model. Section 9.5 applies the pseudo-potential model to compute the many-body T-matrix and thus obtain the pairing collective mode. Section 9.6 discusses how to incorporate the many-body T-matrix into the ferromagnetic susceptibility. Section 9.7 summarizes the results for the pairing versus Stoner competition in the context of the MIT experiments. Section 9.8 provides concluding remarks.

Keywords: Feshback resonances; ultracold atoms; tenability; collective mode instabilities; Fermi gas; many-body T-matrix; ferromagnetic susceptibility

Chapter.  11890 words.  Illustrated.

Subjects: Atomic, Molecular, and Optical Physics

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