Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping
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 s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Online Access: | https://www.mdpi.com/2218-2004/11/8/110 |
| _version_ | 1797585565803085824 |
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| author | G. A. Domínguez-Castro |
| author_facet | G. A. Domínguez-Castro |
| author_sort | G. A. Domínguez-Castro |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T00:07:57Z |
| format | Article |
| id | doaj.art-de24cee45d464f2eb20ccc917fbdec1c |
| institution | Directory Open Access Journal |
| issn | 2218-2004 |
| language | English |
| last_indexed | 2024-03-11T00:07:57Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atoms |
| spelling | doaj.art-de24cee45d464f2eb20ccc917fbdec1c2023-11-19T00:13:51ZengMDPI AGAtoms2218-20042023-08-0111811010.3390/atoms11080110Bose Polaron in a One-Dimensional Lattice with Power-Law HoppingG. A. Domínguez-Castro0Institut für Theoretische Physik, Leibniz Universität Hannover, 30167 Hannover, GermanyPolarons, 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.https://www.mdpi.com/2218-2004/11/8/110impurity physicsoptical latticespower-law hopping |
| spellingShingle | G. A. Domínguez-Castro Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping Atoms impurity physics optical lattices power-law hopping |
| title | Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping |
| title_full | Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping |
| title_fullStr | Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping |
| title_full_unstemmed | Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping |
| title_short | Bose Polaron in a One-Dimensional Lattice with Power-Law Hopping |
| title_sort | bose polaron in a one dimensional lattice with power law hopping |
| topic | impurity physics optical lattices power-law hopping |
| url | https://www.mdpi.com/2218-2004/11/8/110 |
| work_keys_str_mv | AT gadominguezcastro bosepolaroninaonedimensionallatticewithpowerlawhopping |