Subdiffusion and Heat Transport in a Tilted Two-Dimensional Fermi-Hubbard System
By Elmer Guardado-Sanchez, A. Morningstar, Benjamin M. Spar, P. Brown, D. Huse, W. Bakr. Physical Review X, 2019
144 citations recorded by the source corpus.
Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the two-dimensional (2D) square lattice and couples mass transport to local heating through energy conservation. We study transport and thermalization in our system by observing the decay of prepared initial density waves as a function of wavelength $\lambda$ and tilt strength and find that the associated decay time $\tau$ crosses over as the tilt strength is increased from characteristically diffusive to subdiffusive with $\tau\propto\lambda^4$. In order to explain the underlying physics we develop a hydrodynamic model that exhibits this crossover. For strong tilts, the subdiffusive transport rate is set by a thermal diffusivity, which we are thus able to measure as a function of tilt in this regime. We further support our understanding by probing the local inverse temperature of the system at strong tilts, finding good agreement with our theoretical predictions. Finally, we discuss the relation of the strongly tilted limit of our system to recently studied 1D models which may exhibit nonergodic dynamics.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/37576ff07f73a27acedc2b0827cbbaad69fa8822
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Citations in the corpus
- Fracton hydrodynamics (2020, methodology): “Our argument further implies that any exponentially suppressed long-ranged virtual processes permitted in the tilted lattice experiment of [79] do not break the subdiffusive dynamics, even in the thermodynamic limit.”
- Fracton phases of matter (2020, background): “Indeed, a recent cold-atom experiment has been able to create a linear potential, though not yet of sufficient strength to enforce dipole conservation [120].”