Crossing the superfluid-supersolid transition of an elongated dipolar condensate

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 G. Biagioni et al. [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) 1D 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, signalling the onset of a dimensional crossover.

9 pages, 8 figures

References in corpus (16)

• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Self-bound droplets of a dilute magnetic quantum liquid
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Two-dimensional supersolidity in a dipolar quantum gas
• Bogoliubov modes of a dipolar condensate in a cylindrical trap
• Supersolidity around a critical point in dipolar Bose Einstein condensates
• Two-Dimensional Supersolid Formation in Dipolar Condensates
• Birth, life, and death of a dipolar supersolid
• Phases of supersolids in confined dipolar Bose-Einstein condensates
• Quantized vortices in dipolar supersolid Bose-Einstein condensed gases
• Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
• Dimensional crossover in the superfluid-supersolid quantum phase transition
• High-energy Bragg scattering measurements of a dipolar supersolid
• Study of the inter-species interactions in an ultracold dipolar mixture

Cited by in corpus (6)

• Supersolidity and crystallization of a dipolar Bose gas in an infinite tube
• Supersolid formation in a dipolar condensate by roton instability
• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Phase-induced vortex pinning in rotating supersolid dipolar systems
• Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order
• Vortex dynamics in rotating dipolar supersolids across Josephson and self-trapping regimes