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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
Artikel, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

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.

Typ des Eintrags: Artikel
Erschienen: 2022
Autor(en): Brauneis, Fabian ; Backert, Timothy G. ; Mistakidis, Simeon I. ; Lemeshko, Mikhail ; Hammer, Hans-Werner ; Volosniev, Artem G.
Art des Eintrags: Zweitveröffentlichung
Titel: Artificial atoms from cold bosons in one dimension
Sprache: Englisch
Publikationsjahr: 2022
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 2022
Verlag: IOP Publishing
Titel der Zeitschrift, Zeitung oder Schriftenreihe: New Journal of Physics
Jahrgang/Volume einer Zeitschrift: 24
(Heft-)Nummer: 6
Kollation: 21 Seiten
DOI: 10.26083/tuprints-00021606
URL / URN: https://tuprints.ulb.tu-darmstadt.de/21606
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Herkunft: Zweitveröffentlichung DeepGreen
Kurzbeschreibung (Abstract):

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.

Freie Schlagworte: systems with impurities, ultra cold gases, artificial atom, IM-SRG, ML-MCDTHX, mean field, flow equations
Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-216065
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
Hinterlegungsdatum: 01 Jul 2022 11:33
Letzte Änderung: 07 Jul 2022 09:15
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