Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908818522243072 |
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| author | Marciniak, Maciej Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof |
| author_facet | Marciniak, Maciej Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof |
| contents | We investigate the effect of a quench from a one-dimensional gas with strong and repulsive local interactions to a strongly attractive one, known as the super-Tonks-Girardeau effect. By incorporating both an optical lattice and non-local interactions (specifically nearest-neighbor), we discover a previously unexplored phenomenon: the disruption of the state during the quench, but within a specific range of interactions. Our study employs the extended Bose-Hubbard model across various system sizes, starting with analytical results for two atoms and progressing to few-body systems using exact diagonalization, DMRG and TDVP methods. Finally, we use a numerical implementation of the local density approximation for a macroscopic number of atoms. Consistently, our findings unveil a region where the initially self-bound structure expands due to the super-Tonks-Girardeau quench. The fast evaporation provides a tool to characterize the phase diagram in state-of-art experiments exploring the physics of the extended Bose-Hubbard model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_10910 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model Marciniak, Maciej Łebek, Maciej Kopyciński, Jakub Górecki, Wojciech Ołdziejewski, Rafał Pawłowski, Krzysztof Quantum Gases Quantum Physics We investigate the effect of a quench from a one-dimensional gas with strong and repulsive local interactions to a strongly attractive one, known as the super-Tonks-Girardeau effect. By incorporating both an optical lattice and non-local interactions (specifically nearest-neighbor), we discover a previously unexplored phenomenon: the disruption of the state during the quench, but within a specific range of interactions. Our study employs the extended Bose-Hubbard model across various system sizes, starting with analytical results for two atoms and progressing to few-body systems using exact diagonalization, DMRG and TDVP methods. Finally, we use a numerical implementation of the local density approximation for a macroscopic number of atoms. Consistently, our findings unveil a region where the initially self-bound structure expands due to the super-Tonks-Girardeau quench. The fast evaporation provides a tool to characterize the phase diagram in state-of-art experiments exploring the physics of the extended Bose-Hubbard model. |
| title | Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2306.10910 |