Quantum effective action for the bosonic Josephson junction

Year: 2022

Authors: Furutani K., Tempere J., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Fis Nucl, Sezi Padova, Via Marzolo 8, I-35131 Padua, Italy; Univ Antwerp, Dept Phys, Univ Pl 1, B-2610 Antwerp, Belgium; CNR, Ist Nazl Ottica, Via Carrara 2, I-50019 Sesto Fiorentino, Italy.

Abstract: We investigate a bosonic Josephson junction by using the path-integral formalism with relative phase and population imbalance as dynamical variables. We derive an effective only-phase action performing functional integration over the population imbalance. We then analyze the quantum effective only-phase action, which formally contains all the quantum corrections. To the second order in the derivative expansion and to the lowest order in h’’, we obtain the quantum correction to the Josephson frequency of oscillation. Finally, the same quantum correction is found by adopting an alternative approach. Our predictions are a useful theoretical tool for experiments with atomic or superconducting Josephson junctions.

Journal/Review: PHYSICAL REVIEW B

Volume: 105 (13)      Pages from: 134510-1  to: 134510-6

More Information: We acknowledge Alessio Notari for discussions. L.S. thanks Fiorenzo Bastianelli, Alberto Cappellaro, Andrea Tononi, and Carlo Presilla for useful discussions. K.F. is supported by a Ph.D. fellowship of the Fondazione Cassa di Risparmio di Padova e Rovigo.
KeyWords: Symmetry
DOI: 10.1103/PhysRevB.105.134510

Citations: 2
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