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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Computational Physics

Background:

  • Understanding the real-time dynamics of strongly disordered quantum matter is computationally challenging.
  • Many-body localization (MBL) and nonergodic behavior in disordered systems present unique theoretical hurdles.
  • Accurate simulations are crucial for exploring phenomena like spin-glass order and many-body resonances.

Purpose of the Study:

  • To develop and apply a novel computational approach for simulating real-time dynamics in strongly disordered quantum systems.
  • To accurately capture long-time coherent evolution, including nonperturbative regimes and many-body resonances.
  • To investigate the spatiotemporal buildup of many-body localized spin-glass order in various disordered models.

Main Methods:

  • Integration of quantum renormalization group (qRRG) techniques with deep artificial neural networks (ANNs).
  • Application of the combined qRRG-ANN approach to simulate the real-time evolution of large, disordered quantum many-body systems.
  • Analysis of spatiotemporal order development in random Ising chains and two-dimensional disordered Ising models.

Main Results:

  • The qRRG-ANN method accurately computes long-time coherent dynamics in nonperturbative regimes, accounting for many-body resonances.
  • Observed distinct spatiotemporal buildup of many-body localized spin-glass order in random Ising chains, differing from noninteracting Anderson insulators.
  • Demonstrated the method's applicability to strongly disordered two-dimensional Ising models, validating its general use for nonergodic quantum matter.

Conclusions:

  • The synergy between quantum renormalization groups and deep neural networks provides a powerful tool for simulating complex quantum dynamics.
  • This approach enables accurate descriptions of phenomena in strongly disordered quantum matter, including MBL and spin-glass order.
  • The developed methodology offers a general framework for studying the real-time dynamics of nonergodic quantum systems.