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.
Recommended Citation
F. Brauneis et al., "Artificial Atoms From Cold Bosons In One Dimension," New Journal of Physics, vol. 24, no. 6, article no. 063036, IOP Publishing, Jun 2022.
The definitive version is available at https://doi.org/10.1088/1367-2630/ac78d8
Department(s)
Physics
Publication Status
Open Access
Keywords and Phrases
artificial atom; flow equations; IM-SRG; mean field; ML-MCDTHX; systems with impurities; ultra cold gases
International Standard Serial Number (ISSN)
1367-2630
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Jun 2022
Comments
National Science Foundation, Grant 754411