few-body problem

Quantum Behavior of a Heavy Impurity Strongly Coupled to a Bose Gas

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Few-body states of bosons interacting with a heavy quantum impurity

We consider the problem of a fixed impurity coupled to a small number $N$ of noninteracting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic interactions in …

Impurity-Induced Multibody Resonances in a Bose Gas

We investigate the problem of $N$ identical bosons that are coupled to an impurity particle with infinite mass. For noninteracting bosons, we show that a dynamical impurity-boson interaction, mediated by a closed-channel dimer, can induce an …

Universality of an Impurity in a Bose-Einstein Condensate

We consider the ground-state properties of an impurity particle (“polaron”) resonantly interacting with a Bose-Einstein condensate (BEC). Focusing on the equal-mass system, we use a variational wave function for the polaron that goes beyond previous …