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

by L. Chomaz

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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Reference:

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, 2020.

Bibtex Entry:

@Article{chomaz2020learnt,

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

  author = {L. Chomaz},

  journal = {Phys. Rev. A},

  volume = {102},

  issue = {2},

  pages = {023333},

  numpages = {14},

  year = {2020},

  month = {Aug},

 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.},

  publisher = {American Physical Society},

  doi = {10.1103/PhysRevA.102.023333},

  url = {https://link.aps.org/doi/10.1103/PhysRevA.102.023333},

  arXiv = {https://arxiv.org/abs/2005.01614}

}