Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-10-26
Physics
Condensed Matter
Quantum Gases
9 pages, 2 figures
Scientific paper
The stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the quantum-mechanical three-body problem the famous Efimov effect defines highly non-trivial scaling relations among a tower of universal states. Within the realm of ultracold atomic gases, both of these problems have been studied in great detail within the last decade. In light of the tremendous effect of a background Fermi sea on two-body properties, a natural question is how such a background modifies three-body physics. Here we demonstrate how the generic problem of three interacting particles changes when one of the particles is embedded in a background Fermi sea. Our results show that there is a new universal scaling behavior connected with the background density of fermionic particles. The novel method presented here is completely general and applies to arbitrary masses of the three particles. Furthermore, it can accommodate corrections to universality, more than one Fermi sea, and many-body corrections in a systematic manner.
Nygaard Nicolai Gayle
Zinner Nikolaj Thomas
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