Probing the supersolid order via high-energy scattering: Analytical relations among the response, density modulation, and superfluid fraction

L. Chomaz
Phys. Rev. A 102, 023333 – Published 28 August 2020

Abstract

High-energy scattering spectroscopy is a widely established technique for probing the characteristic properties of complex physical systems. Motivated by the recent observation of long-sought supersolid states in dipolar quantum Bose gases, I investigate the general relationships existing between the density contrast, the superfluid fraction, and the response to a high-energy scattering probe of density-modulated states within a classical-field approach. I focus on the two extreme regimes of shallow and deep supersolids, which are of particular interest in describing the phase transitions of the supersolid to a uniform superfluid and an incoherent crystal state, respectively. Using relevant Ansätze for the fields of dipolar supersolid states in these regimes, I specify and illustrate the scaling laws relating the three observables. This work was first prompted to develop an intuitive understanding of a concomitant study based on experiments and mean-field numerical simulations. Beyond this specific application, this works provides a simple and general framework to describe density-modulated states and in particular the intriguing case of supersolids. It describes key properties characterizing the supersolid order and highlights possibilities for probing such properties based on high-energy scattering response.

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  • Received 6 May 2020
  • Accepted 31 July 2020

DOI:https://doi.org/10.1103/PhysRevA.102.023333

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

L. Chomaz*

  • Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria

  • *lauriane.chomaz@uibk.ac.at

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Vol. 102, Iss. 2 — August 2020

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