Crossing the superfluid-supersolid transition of an elongated dipolar condensate

Year: 2022

Authors: Alasa A., Antolini N., Biagioni G., Egusquiza IL., Modugno M.

Autors Affiliation: Univ Basque Country, Dept Phys, UPV EHU, Bilbao 48080, Spain; Univ Basque Country, EHU Quantum Ctr, Biscay, UPV EHU, Leioa 48940, Biscay, Spain; CNR, INO, Sede Pisa, I-56124 Pisa, Italy; CNR, Sede Pisa, INO, I-56124 Pisa, Italy; Univ Florence, Dept Phys & Astron, I-50019 Sesto Fiorentino, Italy; Basque Fdn Sci, Ikerbasque, Bilbao 48013, Spain.

Abstract: We provide a theoretical characterization of the dynamical crossing of the superfluid-supersolid phase transition for a dipolar condensate confined in an elongated trap, as observed in the recent experiment by Biagioni et al. [G. Biagioni, N. Antolini, A. Alana, M. Modugno, A. Fioretti, C. Gabbanini, L. Tanzi, and G. Modugno, Phys. Rev. X 12, 021019 (2022)]. By means of the extended Gross-Pitaevskii theory, which includes the Lee-Huang-Yang quantum fluctuation correction, we first analyze the ground-state configurations of the system as a function of the interparticle scattering length, for both trap configurations employed in the experiment. Then, we discuss the effects of the ramp velocity, by which the scattering length is tuned across the transition, on the collective excitations of the system in both the superfluid and supersolid phases. We find that, when the transverse confinement is sufficiently strong and the transition has a smooth (continuous) character, the system essentially displays a (quasi) one-dimensional behavior, its excitation dynamics being dominated by the axial breathing modes. Instead, for shallower transverse trapping, when the transition becomes discontinuous, the collective excitations of the supersolid display a coupling with the transverse modes, signaling the onset of a dimensional crossover.

Journal/Review: PHYSICAL REVIEW A

Volume: 106 (4)      Pages from: 43313-1  to: 43313-8

More Information: We thank G. Modugno, L. Tanzi, C. Gabbanini, and A. Fioretti from the Pisa-Florence Dysprosium laboratory for support and useful discussions. This work was supported by Grant No. PGC2018-101355-B-I00 funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe, by the Basque Government through Grant No. IT1470-22, by the QuantERA grant MAQS, and by Consiglio Nazionale delle Ricerche-Istituto Nazionale di Ottica (CNR-INO).
KeyWords: Bose-einstein Condensation
DOI: 10.1103/PhysRevA.106.043313

Citations: 4
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