Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping

Version 1 : Received: 5 May 2023 / Approved: 6 May 2023 / Online: 6 May 2023 (05:41:25 CEST)

A peer-reviewed article of this Preprint also exists.

Domínguez-Castro, G.A. Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping. Atoms 2023, 11, 110. Domínguez-Castro, G.A. Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping. Atoms 2023, 11, 110.

Abstract

Polarons, quasiparticles resulting from the interaction between an impurity and the collective excitations of a medium, play a fundamental role in physics, mainly because they represent an essential building block for understanding more complex many-body phenomena. In this manuscript, we study the spectral properties of a single impurity mixed with identical bosons in a one-dimensional lattice with power-law hopping. In particular, based on the so-called T-matrix approximation, we show the existence of well-defined quasiparticle branches for several tunneling ranges and for both, repulsive and attractive impurity-boson interactions. Furthermore, we demonstrate the persistence of the attractive polaron branch when the impurity-boson bound state is absorbed into the two-body continuum and that the attractive polaron becomes more robust as the range of the hopping increases. The results discussed here are of relevance for the understanding of the equilibrium properties of quantum systems with power-law interactions.

Keywords

Impurity physics; optical lattices; power-law hopping

Subject

Physical Sciences, Condensed Matter Physics

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