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Dynamics of Stripe Patterns in Supersolid Spin-Orbit-Coupled Bose Gases

Kevin T. Geier, Giovanni I. Martone, Philipp Hauke, Wolfgang Ketterle, and Sandro Stringari
Phys. Rev. Lett. 130, 156001 – Published 12 April 2023
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Abstract

Despite ground-breaking observations of supersolidity in spin-orbit-coupled Bose-Einstein condensates, until now the dynamics of the emerging spatially periodic density modulations has been vastly unexplored. Here, we demonstrate the nonrigidity of the density stripes in such a supersolid condensate and explore their dynamic behavior subject to spin perturbations. We show both analytically in infinite systems and numerically in the presence of a harmonic trap how spin waves affect the supersolid’s density profile in the form of crystal waves, inducing oscillations of the periodicity as well as the orientation of the fringes. Both these features are well within reach of present-day experiments. Our results show that this system is a paradigmatic supersolid, featuring superfluidity in conjunction with a fully dynamic crystalline structure.

  • Figure
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  • Received 19 October 2022
  • Revised 17 January 2023
  • Accepted 28 February 2023

DOI:https://doi.org/10.1103/PhysRevLett.130.156001

© 2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Kevin T. Geier1,2,3,*, Giovanni I. Martone4,5,6,†, Philipp Hauke1,2, Wolfgang Ketterle7,8, and Sandro Stringari1,2

  • 1Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, 38123 Trento, Italy
  • 2Trento Institute for Fundamental Physics and Applications, INFN, 38123 Trento, Italy
  • 3Institute for Theoretical Physics, Ruprecht-Karls-Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
  • 4Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France
  • 5CNR NANOTEC, Institute of Nanotechnology, Via Monteroni, 73100 Lecce, Italy
  • 6INFN, Sezione di Lecce, 73100 Lecce, Italy
  • 7MIT-Harvard Center for Ultracold Atoms, Cambridge, Massachusetts 02138, USA
  • 8Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *kevinthomas.geier@unitn.it
  • giovanni_italo.martone@lkb.upmc.fr

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Issue

Vol. 130, Iss. 15 — 14 April 2023

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Images

  • Figure 1
    Figure 1

    Illustration of the interference effects that lead to the appearance and dynamics of stripe patterns. The Raman process responsible for spin-orbit coupling turns the two-component Bose-Einstein condensate (two big circles) into a system with a four-component wave function. Components with the same spin form a spatial interference pattern.

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  • Figure 2
    Figure 2

    Dynamics of the stripe pattern in a harmonically trapped system for Ω/Er=1.75. (a),(b) Snapshots of the density profile at different times, showing the compression and dilatation of the fringe spacing (a) as well as the rotation of the stripes (b) after suddenly releasing the longitudinal and transversal spin perturbations Hxσz=mωx2x0xσz with x0/ax=0.1 and Hyσz=mωy2y0yσz with y0/ay=0.15, respectively. (c) Evolution of the magnitude of the stripe wave vector |K| and of the longitudinal spin-dipole moment xσz for the scenario in (a). (d) Time trace of the rotation angle θ of the stripes and of the transversal spin-dipole moment yσz for the scenario in (b). The oscillation frequencies of the stripe pattern coincide with those of the corresponding spin-dipole moments.

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