Dipole modes of a trapped bosonic mixture: Fate of the sum-rule approach

Year: 2022

Authors: Fort C., Modugno M.

Autors Affiliation: Univ Firenze, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy; Univ Firenze, LENS, I-50019 Sesto Fiorentino, Italy; CNR INO, Ist Nazl Ott, I-50019 Sesto Fiorentino, Italy; Univ Basque Country UPV EHU, Dept Phys, Bilbao 48080, Spain; Basque Fdn Sci, IKERBASQUE, Bilbao 48013, Spain; Univ Basque Country UPV EHU, EHU Quantum Ctr, Leioa 48940, Spain.

Abstract: We present a general discussion of the dipole modes of a heteronuclear bosonic mixture in a harmonic trap by comparing the prediction of the sum-rule approach with full Gross-Pitaevskii (GP) calculations. Yet in the range of interaction in which the mixture is miscible and stable at the mean-field level, g212 < g11g22, we find that there are regimes where the sum rules display significant deviations from the GP solution. We provide an interpretation for this behavior in terms of the Ehrenfest approach, which we show to be equivalent to the sum-rule approach for dipole excitations. Journal/Review: PHYSICAL REVIEW A

Volume: 106 (4)      Pages from: 43311-1  to: 43311-8

More Information: We thank A. Burchianti, L. Cavicchioli, and F. Minardi for useful comments and suggestions. M.M. acknowledges support from Grant No. PGC2018-101355-B-I00 funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe, and from the Basque Government through Grant No. IT1470-22.
KeyWords: Collective Excitations; Bose; Oscillations
DOI: 10.1103/PhysRevA.106.043311

Citations: 1
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