Moment of inertia and dynamical rotational response of a supersolid dipolar gas Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.1103/physreva.105.023316
· OA: W4212975344
We show that the knowledge of the time dependent response of a trapped gas,\nsubject to a sudden rotation of a confining harmonic potential, allows for the\ndetermination of the moment of inertia of dipolar supersolid configurations.\nWhile in the presence of one-dimensional arrays of droplets the frequency of\nthe resulting scissors oscillation provides accurate access to the value of the\nmoment of inertia, two-dimensional like configurations are characterized by a\nmulti-frequency structure in the rotating signal, reflecting the presence of\nsignificant rigid body components in the rotational motion. Using the formalism\nof response function theory and simulations based on the so-called extended\ntime dependent Gross-Pitaevskii equation, we point out the crucial role played\nby the low frequency components in the determination of the moment of inertia\nand of its deviations from the irrotational value. We also propose a protocol\nbased on the stationary rotation of the trap, followed by its sudden stop,\nwhich might provide a promising alternative to the experimental evaluation of\nthe moment of inertia.\n
