The effect of boson-boson interaction on the Bipolaron formation

Abstract

Impurities immersed into a surrounding ultra-cold Bose gas experience interactions mediated by the surrounding many-body environment. If one focuses on two impurities that are sufficiently close to each other, they can form a bipolaron pair. Here, we discuss how the standard methods based on linearizing the condensate field lead to results only valid in the weak coupling regime and for sufficiently large impurity separations. We show how those shortcomings can be remedied within the Born-Oppenheimer approximation by accounting for boson-boson interactions already on the mean-field level.

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Cited by in corpus (10)

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• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
• Mobile impurities interacting with a few one-dimensional lattice bosons
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
• Engineering impurity Bell states through coupling with a quantum bath
• Modified mean field ansatz for charged polarons in a Bose-Einstein condensate
• Effective approaches to the dynamical properties of two distinguishable Bose polarons
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential