Decoupled sound and amplitude modes in trapped dipolar supersolids
Abstract: We theoretically investigate elementary excitations of dipolar quantum gases across the superfluid to supersolid phase transition in a toroidal trap. We show how decoupled first sound, second sound, and Higgs modes emerge by following their origin from superfluid modes across the transition. The structure of these excitations reveals the interplay between crystal and superfluid oscillations. Our results unify previous notions of coupled Goldstone and Higgs modes in harmonic traps, allowing us to establish a correspondence between excitations of trapped and infinitely extended supersolids. We propose protocols for selectively probing these sound and amplitude modes, accessible to state-of-the-art experiments.
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- See Supplemental Material [URL] for further details, which includes Refs. [2,18,20,22,26-29,31,34,41,61,62,64].
- Apart from the contributions discussed so far, there is a low-frequency contribution at kϕ=1subscript𝑘italic-ϕ1k_{\phi}=1italic_k start_POSTSUBSCRIPT italic_ϕ end_POSTSUBSCRIPT = 1 which does not correspond to a specific quasimomentum but rather a slow modulation of the envelope of the excitation pattern most likely caused by residual coupling between the two degenerate modes within our numerical framework.
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