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Flow Equations for the BCS-BEC Crossover

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arxiv cond-mat/0701198 v2 pith:PYBLTTX4 submitted 2007-01-10 cond-mat.supr-con cond-mat.stat-mechhep-phquant-ph

classification cond-mat.supr-concond-mat.stat-mechhep-phquant-ph
keywords bcs-becbosoniccrossoverdifferenteffectiveflowtheoryatoms
verification ladder T0 review T1 audit T2 compute T3 formal
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The functional renormalisation group is used for the BCS-BEC crossover in gases of ultracold fermionic atoms. In a simple truncation, we see how universality and an effective theory with composite bosonic di-atom states emerge. We obtain a unified picture of the whole phase diagram. The flow reflects different effective physics at different scales. In the BEC limit as well as near the critical temperature, it describes an interacting bosonic theory.

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