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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. (Publisher's Version)
In: New Journal of Physics, 24 (6), IOP Publishing, e-ISSN 1367-2630,
DOI: 10.26083/tuprints-00021606,

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Item Type: Article
Origin: Secondary publication DeepGreen
Status: Publisher's Version
Title: Artificial atoms from cold bosons in one dimension
Language: English

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.

Journal or Publication Title: New Journal of Physics
Volume of the journal: 24
Issue Number: 6
Place of Publication: Darmstadt
Publisher: IOP Publishing
Collation: 21 Seiten
Uncontrolled Keywords: systems with impurities, ultra cold gases, artificial atom, IM-SRG, ML-MCDTHX, mean field, flow equations
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 01 Jul 2022 11:33
Last Modified: 08 Sep 2022 09:03
DOI: 10.26083/tuprints-00021606
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-216065
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/21606
PPN: 498980030
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