Fast Forwarding the Dynamics of Imaginary Time and Master Equations

Invited-In-person  · Invited

Abstract

Relaxational dynamics, such as classical master equation dynamics or quantum "imaginary time" evolution, have important applications but are bottlenecked by high dimensionality and long timescales in the approach to equilibrium. Tensor network representations of the solution at each time can often address the high dimensionality, but the slow dynamics remains challenging. Yet there is generic structure in relaxational dynamics that allows faster times to solution when combined with appropriate solvers. Applications include reaching very low temperatures in quantum impurity problems and long time scales in classical rate reaction dynamics.

Presenters

  • Miles Stoudenmire

    • Flatiron Institute, Center for Computational Quantum Physics

Authors

  • Miles Stoudenmire

    • Flatiron Institute, Center for Computational Quantum Physics
  • Olivier Parcollet

    • Simons Foundation (Flatiron Institute)
  • John Zima

    • Northwestern University
  • Steven White

    • University of California, Irvine
  • Jason Kaye

    • Simons Foundation (Flatiron Institute)