Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap

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Abstract

We investigate the behavior of a harmonically trapped system consisting of an impurity in a dilute ideal Bose gas after the boson-impurity interaction is suddenly switched on. As theoretical framework, we use a field theory approach in the space-time domain within the T-matrix approximation. We establish the form of the corresponding T-matrix and address the dynamical properties of the system. As a numerical application, we consider a simple system of a weakly interacting impurity in one dimension where the interaction leads to oscillations of the impurity density. Moreover, we show that the amplitude of the oscillations can be driven by periodically switching the interaction on and off.
Original languageEnglish
Article number023623
JournalPhysical Review A
Volume92
Issue2
ISSN2469-9926
DOIs
Publication statusPublished - 14 Aug 2015

Keywords

  • cond-mat.quant-gas
  • nucl-th
  • quant-ph

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