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  • Letter
  • Open Access

Momentum-space signatures of the Anderson transition in a symplectic, two-dimensional, disordered ultracold gas

Ehsan Arabahmadi1, Daniel Schumayer1,*, Benoît Grémaud2,3,4, Christian Miniatura3,4,5,6,7, and David A. W. Hutchinson1,4

  • 1Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, University of Otago, Dunedin, New Zealand
  • 2Aix Marseille Université, Université de Toulon, Centre National de la Recherche Scientifique, CPT, Marseille, France
  • 3MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore
  • 4Centre for Quantum Technologies, National University of Singapore, Singapore
  • 5Department of Physics, National University of Singapore, Singapore
  • 6School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore
  • 7Université Côte d'Azur, CNRS, Institut de Physique de Nice, Nice, France

  • *daniel.schumayer@otago.ac.nz

Phys. Rev. Research 6, L012021 – Published 25 January, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012021

Abstract

We study Anderson localization in two-dimensional, disordered, spin-orbit systems belonging to the symplectic symmetry class using momentum-space signatures such as the coherent backscattering antipeak and the coherent forward-scattering peak. Significantly, these momentum-space features are readily accessible in ultracold atom experiments through absorption imaging after time-of-flight expansion. Here, the critical exponent and mobility edge of the metal-insulator transition are successfully obtained through a finite-time analysis of the coherent backscattering width. An anomalous residual diffusion, unique to two dimensions, is identified at the transition point where the system changes from a metal to an insulator. A spin localization phenomenon is also observed in the deep localized regime.

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