The Bose polaron problem: effect of mass imbalance on binding energy

Abstract

By means of Quantum Monte Carlo methods we calculate the binding energy of an impurity immersed in a Bose-Einstein condensate at T = 0. The focus is on the attractive branch of the Bose polaron and on the role played by the mass imbalance between the impurity and the surrounding particles. For an impurity resonantly coupled to the bath, we investigate the dependence of the binding energy on the mass ratio and on the interaction strength within the medium. In particular, we determine the equation of state in the case of a static (infinite mass) impurity, where three-body correlations are irrelevant and the result is expected to be a universal function of the gas parameter. For the mass ratio corresponding to ${}^{40}$K impurities in a gas of ${}^{87}$Rb atoms we provide an explicit comparison with the experimental findings of a recent study carried out at JILA.

5 pages, 3 figures

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• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Normal state of a polarized Fermi gas at unitarity
• Applications of quantum Monte Carlo methods in condensed systems
• Variational study of polarons in Bose-Einstein condensates
• Heavy-Light Fermion Mixtures at Unitarity
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Cited by in corpus (11)

• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Fate of the Bose polaron at finite temperature
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures
• Impurity states in the one-dimensional Bose gas
• Enhancing the Efimov correlation in Bose polarons with large mass imbalance
• Finite-range effects in the unitary Fermi polaron
• Behavior of the impurity atom in a weakly-interacting Bose gas
• A mixed dimensional Bose polaron
• Temperature-induced miscibility of impurities in trapped Bose gases
• Few-boson system with a single impurity: Universal bound states tied to Efimov trimers