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Constrained Motions and Slow Dynamics in One-Dimensional Bosons with Double-Well Dispersion.

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We found unusual slow dynamics in one-dimensional interacting bosons. Domain walls exhibit constrained motion, leading to atypical Bose condensate properties and paving the way for fracton studies in ultracold atoms.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Ultracold atoms

Background:

  • One-dimensional (1D) Bose condensates in translation-invariant systems typically exhibit free motion and finite superfluid stiffness.
  • Understanding domain wall dynamics is crucial for characterizing exotic quantum phases.

Purpose of the Study:

  • To investigate the dynamics of domain walls in 1D interacting bosons with double-well dispersion.
  • To explore the low-temperature properties and superfluid stiffness near a Lifshitz quantum critical point.

Main Methods:

  • Theoretical modeling of 1D interacting bosons with double-well dispersion.
  • Analysis of domain wall motion in symmetry-broken and near critical regimes.

Main Results:

  • Demonstrated 'fractonlike' motion where single domain walls are constrained, but pairs can move collectively.
  • Observed Ohmic-like linear response and vanishing superfluid stiffness in the symmetry-broken regime.
  • Found unconventional low-temperature behavior near the Lifshitz quantum critical point with superfluid stiffness ρ_{s}∼T and sound velocity v_{s}∼T^{1/2}.

Conclusions:

  • The observed slow dynamics and constrained domain wall motion are atypical for 1D Bose condensates.
  • Superfluid stiffness increasing with temperature suggests an 'order by disorder' effect.
  • These findings offer new avenues for experimental studies of fractons using ultracold atoms.