Superfluidity and collective oscillations of trapped Bose-Einstein condensates in a periodical potential
C. Trallero-Giner, V. Lopez-Richard, Y. N\'u\~nez-Fern\'andez, Maurice, Oliva, Ming-Chiang Chung
TL;DR
This paper presents an analytical framework for understanding superfluidity and collective oscillations in trapped Bose-Einstein condensates within optical lattices, aligning theoretical predictions with experimental setups.
Contribution
It introduces a unified analytical approach based on the 1D Bogoliubov-de Gennes equations to study superfluidity and collective modes in BECs in optical lattices.
Findings
Analytical expressions for collective excitations derived.
Mapping of oscillation behaviors to experimental configurations.
Insights into superfluidity phenomena in optical lattice-loaded BECs.
Abstract
Based on a unified theoretical treatment of the 1D Bogoliubov-de Genes equations, the superfluidity phenomenon of the Bose-Einstein condensates (BEC) loaded into trapped optical lattice is studied. Within the perturbation regime, an all-analytical framework is presented enabling a straightforward phenomenological mapping of the collective excitation and oscillation character of a trapped BEC where the available experimental configurations also fit.
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