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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Many-body localization

Background:

  • Disordered quantum systems exhibit complex dynamics.
  • Understanding many-body localization is crucial for quantum technologies.
  • Hard-core bosons provide a simplified model for studying interacting quantum particles.

Purpose of the Study:

  • Investigate delocalization dynamics of interacting disordered hard-core bosons.
  • Explore these dynamics in quasi-1D and 2D geometries.
  • Determine the critical disorder strength for many-body localization.

Main Methods:

  • Simulations of interacting disordered hard-core bosons.
  • Analysis of delocalization dynamics and power-law decay.
  • Inference of critical disorder W_c(L,d) from decay freezing.

Main Results:

  • Observed slow, subdiffusive dynamics similar to 1D systems.
  • Identified power-law decay in delocalization.
  • Found critical disorder W_c increases with width in quasi-1D and length in 2D.

Conclusions:

  • Dynamics are consistent across different dimensions for these bosons.
  • Results support the avalanche picture of many-body localization.
  • Critical disorder is sensitive to system geometry and size.