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Field-theoretical study of the Bose polaron

Steffen Patrick RathTechnische Universität München, James-Franck-Straße, 85748 Garching, GermanyRichard SchmidtDepartment of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
2013en
ABI

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We study the properties of the Bose polaron, an impurity strongly interacting with a Bose-Einstein condensate, using a field-theoretic approach and make predictions for the spectral function and various quasiparticle properties that can be tested in experiment. We find that most of the spectral weight is contained in a coherent attractive and a metastable repulsive polaron branch. We show that the qualitative behavior of the Bose polaron is well described by a non-self-consistent $T$-matrix approximation by comparing analytical results to numerical data obtained from a fully self-consistent $T$-matrix approach. The latter takes into account an infinite number of bosons excited from the condensate.

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