Measurement of the superfluid fraction of a supersolid by Josephson effect

A new class of superfluids and superconductors with spatially periodic modulation of the superfluid density is arising 1 – 12 . It might be related to the supersolid phase of matter, in which the spontaneous breaking of gauge and translational symmetries leads to a spatially modulated macroscopic wa...

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Published in:Nature (London) Vol. 629; no. 8013; pp. 773 - 777
Main Authors: Biagioni, G., Antolini, N., Donelli, B., Pezzè, L., Smerzi, A., Fattori, M., Fioretti, A., Gabbanini, C., Inguscio, M., Tanzi, L., Modugno, G.
Format: Journal Article
Language:English
Published: London Nature Publishing Group UK 23-05-2024
Nature Publishing Group
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Summary:A new class of superfluids and superconductors with spatially periodic modulation of the superfluid density is arising 1 – 12 . It might be related to the supersolid phase of matter, in which the spontaneous breaking of gauge and translational symmetries leads to a spatially modulated macroscopic wavefunction 13 – 16 . This relation was recognized only in some cases 1 , 2 , 5 – 9 and there is the need for a universal property quantifying the differences between supersolids and ordinary matter, such as the superfluid fraction, which measures the reduction in superfluid stiffness resulting from the spatial modulation 16 – 18 . The superfluid fraction was introduced long ago 16 , but it has not yet been assessed experimentally. Here we demonstrate an innovative method to measure the superfluid fraction based on the Josephson effect, a ubiquitous phenomenon associated with the presence of a physical barrier between two superfluids or superconductors 19 , which might also be expected for supersolids 20 , owing to the spatial modulation. We demonstrate that individual cells of a supersolid can sustain Josephson oscillations and we show that, from the current–phase dynamics, we can derive directly the superfluid fraction. Our study of a cold-atom dipolar supersolid 7 reveals a relatively large sub-unity superfluid fraction that makes realistic the study of previously unknown phenomena such as partially quantized vortices and supercurrents 16 – 18 . Our results open a new direction of research that may unify the description of all supersolid-like systems. A new method based on the Josephson effect is described, allowing to measure the superfluid fraction of a supersolid, which captures the effect of spatially periodic modulation leading to reduction in the stiffness of superfluids.
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ISSN:0028-0836
1476-4687
DOI:10.1038/s41586-024-07361-9