Quantum fluctuations in atomic Josephson junctions: the role of dimensionality
Year: 2024
Authors: Bardin A., Lorenzi F., Salasnich L.
Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Fis Nucl INFN, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, Padua QTech Ctr, Via Gradenigo 6A, I-35131 Padua, Italy; Consiglio Nazl Ric CNR, Ist Nazl Ott INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.
Abstract: We investigate the role of quantum fluctuations in the dynamics of a bosonic Josephson junction in D spatial dimensions, by using beyond-mean-field Gaussian corrections. We derive some key dynamical properties in a systematic way for D=3,2,1 . In particular, we compute the Josephson frequency in the regime of low population imbalance. We also obtain the critical strength of the macroscopic quantum self-trapping. Our results show that quantum corrections increase the Josephson frequency in spatial dimensions D = 2 and D = 3, but they decrease it in the D = 1 case. The critical strength of macroscopic quantum self-trapping is instead reduced by quantum fluctuations in D = 2 and D = 3 cases, while it is enhanced in the D = 1 configuration. We show that the difference between the cases of D = 2 and D = 3 on one side, and D = 1 on the other, can be related to the qualitatively different dependence of the interaction strength on the scattering length in the different dimensions.
Journal/Review: NEW JOURNAL OF PHYSICS
Volume: 26 (1) Pages from: 13021-1 to: 13021-19
More Information: F L thanks Andrea Richaud for useful comments and suggestions. This work is partially supported by the BIRD grant �Ultracold atoms in curved geometries� of the University of Padova, by the �IniziativaSpecifica Quantum� of INFN, by the European Union-NextGenerationEU within the National Center for HPC, Big Data and Quantum Computing (Project No. CN00000013, CN1 Spoke 10: �Quantum Computing�), by the EU Project PASQuanS 2 �Programmable Atomic Large-Scale Quantum Simulation�, and the National Grant of the Italian Ministry of University and Research for the PRIN 2022 project �Quantum Atomic Mixtures: Droplets, Topological Structures, and Vortices�.
KeyWords: beyond mean-field; quantum fluctuations; bosonic Josephson junction; Gaussian corrections
DOI: 10.1088/1367-2630/ad127b
Citations: 2
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