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Artificial atoms from cold bosons in one dimension

Brauneis, Fabian ; Backert, Timothy G. ; Mistakidis, Simeon I. ; Lemeshko, Mikhail ; Hammer, Hans-Werner ; Volosniev, Artem G. (2022)
Artificial atoms from cold bosons in one dimension.
In: New Journal of Physics, 2022, 24 (6)
doi: 10.26083/tuprints-00021606
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Artificial atoms from cold bosons in one dimension
Language: English
Date: 1 July 2022
Place of Publication: Darmstadt
Year of primary publication: 2022
Publisher: IOP Publishing
Journal or Publication Title: New Journal of Physics
Volume of the journal: 24
Issue Number: 6
Collation: 21 Seiten
DOI: 10.26083/tuprints-00021606
Corresponding Links:
Origin: Secondary publication DeepGreen

We investigate the ground-state properties of weakly repulsive one-dimensional bosons in the presence of an attractive zero-range impurity potential. First, we derive mean-field solutions to the problem on a finite ring for the two asymptotic cases: (i) all bosons are bound to the impurity and (ii) all bosons are in a scattering state. Moreover, we derive the critical line that separates these regimes in the parameter space. In the thermodynamic limit, this critical line determines the maximum number of bosons that can be bound by the impurity potential, forming an artificial atom. Second, we validate the mean-field results using the flow equation approach and the multi-layer multi-configuration time-dependent Hartree method for atomic mixtures. While beyond-mean-field effects destroy long-range order in the Bose gas, the critical boson number is unaffected. Our findings are important for understanding such artificial atoms in low-density Bose gases with static and mobile impurities.

Uncontrolled Keywords: systems with impurities, ultra cold gases, artificial atom, IM-SRG, ML-MCDTHX, mean field, flow equations
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-216065
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 01 Jul 2022 11:33
Last Modified: 14 Nov 2023 19:04
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/21606
PPN: 498980030
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