Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime

• URL: http://arxiv.org/abs/2101.11997v3
• Date: Wed, 1 Sep 2021 11:18:52 GMT
• Title: Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
• Authors: Martin Will, Gregory E. Astrakharchik, Michael Fleischhauer
• Abstract summary: We present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a non-perturbative theory. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a non-perturbative theory and complementing it with exact numerical simulations. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings. Our approach is based on a mean-field theory that accounts for deformations of the superfluid by the impurities and in this way minimizes quantum fluctuations. The mean-field equations are solved exactly in Born-Oppenheimer (BO) approximation leading to an analytic expression for the interaction potential of heavy polarons which is found to be in excellent agreement with quantum Monte-Carlo (QMC) results. In the strong-coupling limit the potential substantially deviates from the exponential form valid for weak coupling and has a linear shape at short distances. Taking into account the leading-order Born-Huang corrections we calculate bipolaron binding energies for impurity-boson mass ratios as low as 3 and find excellent agreement with QMC results.

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