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

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  • G. A. Domínguez-Castro

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Original languageEnglish
Article number110
JournalAtoms
Volume11
Issue number8
Publication statusPublished - 6 Aug 2023

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 relevant for the understanding of the equilibrium properties of quantum systems with power-law interactions.

Keywords

    impurity physics, optical lattices, power-law hopping

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Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping. / Domínguez-Castro, G. A.
In: Atoms, Vol. 11, No. 8, 110, 06.08.2023.

Research output: Contribution to journalArticleResearchpeer review

Domínguez-Castro GA. Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping. Atoms. 2023 Aug 6;11(8):110. doi: 10.3390/atoms11080110
Domínguez-Castro, G. A. / Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping. In: Atoms. 2023 ; Vol. 11, No. 8.
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