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I saw "dressed molecule" in a paper about BEC, what is the meaning of it?
The term "dressed molecule" refers to two-particle states that represent a superposition of a tightly bound bare molecule and two unbound bare atoms. This concept is crucial in understanding phenomena such as Bose-Einstein condensation (BEC) near a Feshbach resonance, where the gas is more accurately described as a condensation of dressed molecules. In the context of fermionic superfluidity, dressed molecules correspond to Cooper pairs, illustrating the transition from a Bose condensate of pure molecules to a fermionic Bardeen-Cooper-Schrieffer superfluid. The characteristics of dressed molecules are significantly influenced by their probability of existing in the bare-molecular state.
PREREQUISITESThis discussion is beneficial for physicists, particularly those specializing in condensed matter physics, quantum mechanics, and anyone researching Bose-Einstein condensation and superfluidity phenomena.
dressed molecules are essentially two-particle states that are a superposition of a tightly bound bare molecule, and two unbound bare atoms. This description reduces to the correct paired wave-function in the two-body limit. Moreover it gives a physically correct description of all the phenomena mentioned above: the Bose-condensation of a gas near a Feshbach resonance, that contains molecules, is more correctly interpreted as a Bose-condensation of dressed molecules. The fermionic superfluid contains a condensate of bosonic pairs, normally called Cooper pairs, that can be understood as the dressed molecules. For the latter case, the dressed-molecule picture also gives an elegant characterization of the crossover between a Bose condensate of pure molecules on one side of the resonance, to a fermionic Bardeen-Cooper-Schrieffer superfluid on the other side. Then, the dressed molecules change continuously from being mostly a bare molecule, to being mostly a loose pair of two atoms. It is clear that the nature of the dressed molecules is much determined by the probability for it to be in the bare-molecular state.