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Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators.

Jonas Richter1, Robin Steinigeweg1

  • 1Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany.

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Summary
This summary is machine-generated.

Linear response theory (LRT) has limitations for quantum many-body systems far from equilibrium. This study shows that even for strong forces, nonequilibrium dynamics of binary operators are governed by equilibrium correlations.

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Area of Science:

  • Quantum Many-Body Physics
  • Non-equilibrium Quantum Dynamics

Background:

  • Linear response theory (LRT) is a standard method for studying quantum many-body system dynamics.
  • LRT requires initial states to be mixed and near equilibrium, limiting its applicability.
  • Understanding dynamics far from equilibrium is crucial but challenging.

Purpose of the Study:

  • To investigate the limitations of LRT in quantum many-body systems.
  • To explore non-equilibrium dynamics for initial states prepared with static forces.
  • To analyze dynamics for initial states far from equilibrium.

Main Methods:

  • Preparation of initial states using static forces, then removing them to induce non-equilibrium.
  • Analytical derivation of dynamics for binary operators at high temperatures.
  • Numerical simulations of the spin-1/2 Heisenberg chain and anisotropic XXZ model.

Main Results:

  • Non-equilibrium dynamics of binary operators are generated by equilibrium correlation functions, even far from equilibrium.
  • This holds true for high temperatures and outside the linear response regime.
  • Numerical results confirm analytical findings and suggest broader applicability.

Conclusions:

  • The study extends understanding of quantum dynamics beyond LRT's limitations.
  • Equilibrium correlation functions play a key role in non-equilibrium dynamics.
  • Findings are robust and applicable to pure states via quantum typicality.