Exact results for heavy unitary Bose polarons
POSTER
Abstract
We consider the problem of unitary Bose polarons, i.e., impurities interacting via a potential with infinite scattering length with a bath of weakly interacting bosons. We show that this problem can be solved analytically in two regimes, where the impurity-boson interaction potential has a range both much smaller and larger than the healing length of the bath. We provide various expressions for the energy and other quasiparticle properties of the polaron in those regimes. Furthermore, we perform numerically exact Diffusion Monte Carlo calculations and we demonstrate that the simple Gross-Pitaevskii theory provides a remarkably accurate description of heavy unitary Bose polarons throughout the whole experimentally relevant range of gas densities.
*This work was supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, VG, NY), and by the National Science Foundation under Grant No. NSF PHY-1748958. G.E.A.~and P.M.~acknowledge support by the Spanish Ministerio de Ciencia e Innovación (MCIN/AEI/10.13039/501100011033, grant PID2020-113565GB-C21), and by the Generalitat de Catalunya (grant 2021 SGR 01411). P.M.~further acknowledges support by the ICREA Academia program.
Publication: https://arxiv.org/abs/2311.14313; Phys. Rev. A 108, L051301 (2023); Phys. Rev. A 106, 033305 (2022); Phys. Rev. Lett. 126, 123403 (2021)
Presenters
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Nikolay Yegovtsev
- University of Colorado, Boulder