Mistakidis, S. I.; Volosniev, ArtemISTA ; Barfknecht, R. E.; Fogarty, T.; Busch, Th; Foerster, A.; Schmelcher, P.; Zinner, N. T.
Cold atomic gases have become a paradigmatic system for exploring fundamental physics, which at the same time allows for applications in quantum technologies. The accelerating developments in the field have led to a highly advanced set of engineering techniques that, for example, can tune interactions, shape the external geometry, select among a large set of atomic species with different properties, or control the number of atoms. In particular, it is possible to operate in lower dimensions and drive atomic systems into the strongly correlated regime. In this review, we discuss recent advances in few-body cold atom systems confined in low dimensions from a theoretical viewpoint. We mainly focus on bosonic systems in one dimension and provide an introduction to the static properties before we review the state-of-the-art research into quantum dynamical processes stimulated by the presence of correlations. Besides discussing the fundamental physical phenomena arising in these systems, we also provide an overview of the calculational and numerical tools and methods that are commonly used, thus delivering a balanced and comprehensive overview of the field. We conclude by giving an outlook on possible future directions that are interesting to explore in these correlated systems.
This review could not have been written without the many fruitful discussions and great collaborations with colleagues throughout the years, there are too many to mention. Here we acknowledge conversations regarding the context of the review with Joachim Brand, Fabian Brauneis, Adolfo del Campo, Alberto Cappellaro, Panagiotis Giannakeas, Tommaso Macrí, Oleksandr Marchukov, Lukas Rammelmüller and Manuel Valiente. S. I. M. acknowledges support from the NSF through a grant for ITAMP at Harvard University. T.F. acknowledges support from JSPS KAKENHI Grant Number JP23K03290 and T.F. and Th.B. acknowledge support from the Okinawa Institute for Science and Technology Graduate University, and JST Grant Number JPMJPF2221. A.F. and R. E. B. acknowledge support from CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) - Edital Universal 406563/2021-7. A. G. V. acknowledges support by European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. P. S. is supported by the Cluster of Excellence ‘Advanced Imaging of Matter’ of the Deutsche Forschungsgemeinschaft (DFG) - EXC2056 - project ID 390715994. N. T. Z. is partially supported by the Independent Research Fund Denmark .
Mistakidis SI, Volosniev A, Barfknecht RE, et al. Few-body Bose gases in low dimensions - A laboratory for quantum dynamics. Physics Reports. 2023;1042:1-108. doi:10.1016/j.physrep.2023.10.004
Mistakidis, S. I., Volosniev, A., Barfknecht, R. E., Fogarty, T., Busch, T., Foerster, A., … Zinner, N. T. (2023). Few-body Bose gases in low dimensions - A laboratory for quantum dynamics. Physics Reports. Elsevier. https://doi.org/10.1016/j.physrep.2023.10.004
Mistakidis, S. I., Artem Volosniev, R. E. Barfknecht, T. Fogarty, Th Busch, A. Foerster, P. Schmelcher, and N. T. Zinner. “Few-Body Bose Gases in Low Dimensions - A Laboratory for Quantum Dynamics.” Physics Reports. Elsevier, 2023. https://doi.org/10.1016/j.physrep.2023.10.004.
S. I. Mistakidis et al., “Few-body Bose gases in low dimensions - A laboratory for quantum dynamics,” Physics Reports, vol. 1042. Elsevier, pp. 1–108, 2023.
Mistakidis SI, Volosniev A, Barfknecht RE, Fogarty T, Busch T, Foerster A, Schmelcher P, Zinner NT. 2023. Few-body Bose gases in low dimensions - A laboratory for quantum dynamics. Physics Reports. 1042, 1–108.
Mistakidis, S. I., et al. “Few-Body Bose Gases in Low Dimensions - A Laboratory for Quantum Dynamics.” Physics Reports, vol. 1042, Elsevier, 2023, pp. 1–108, doi:10.1016/j.physrep.2023.10.004.