Bilayer microscopy of spin and charge in a Fermi-Hubbard lattice

Oreg, Botond; Hartke, Thomas; Turnbaugh, Carter; Jia, Ningyuan; Zwierlein, Martin

doi:10.26226/m.6275705e66d5dcf63a311727

Cited by 1 publication

(1 citation statement)

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“…Ref. [87] demon-strates site-resolved location and spin of each fermion in the attractive Fermi Hubbard system using a bilayer quantum-gas microscope and reveals the formation and spatial ordering of fermion pairs. In addition, radiofrequency (rf) spectroscopy has been used to measure the excitation energy that reveals the pairing gap in atomic Fermi gases [88][89][90][91].…”

Section: Discussion and Implicationmentioning

confidence: 99%

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Parajuli¹,

Chien²

2023

Preprint

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Introducing spatially tunable interactions to atomic Fermi gases makes it feasible to study two phenomena, the proximity effect and spatial Kibble-Zurek mechanism (KZM), in a unified platform. While the proximity effect of a superconductor adjacent to a normal metal corresponds to a stepfunction quench of the pairing interaction in real space, the spatial KZM is based on a linear drop of the interaction that can be modeled as a spatial quench. After formulating the Fermi gases with spatially varying pairing interactions by the Bogoliubov-de Gennes (BdG) equation, we obtain the profiles of the pair wavefunction and its correlation function to study their penetration into the noninteracting region. For the step-function quench, both correlation lengths from the pair wavefunction and its correlation function follow the BCS coherence length and exhibit the same scaling behavior. In contrast, the exponents from the two correlation lengths are different in the spatial quench. Only the exponent from the pair correlation function agrees with the KZM prediction. Therefore, the spatial quench allows more refined analyses of the correlation lengths from different physical quantities. Moreover, adding a weakly interacting bosonic background does not change the scaling behavior. We also discuss relevant experimental techniques that may realize and verify the inhomogeneous phenomena.

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