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Quantum power functional theory for many-body dynamics.

Matthias Schmidt1

  • 1Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany.

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Summary
This summary is machine-generated.

A new one-body variational theory tracks quantum many-body systems over time. This approach uses density and current as key fields, simplifying complex calculations for electron systems.

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Area of Science:

  • Quantum Many-Body Physics
  • Theoretical Chemistry
  • Computational Physics

Background:

  • Accurately simulating the time evolution of quantum many-body systems is computationally challenging.
  • Existing methods often struggle with scalability and accuracy for complex systems.

Purpose of the Study:

  • To develop a novel one-body variational theory for nonrelativistic quantum many-body systems.
  • To provide a more tractable approach for studying the dynamics of these systems.

Main Methods:

  • Constructed a one-body variational theory utilizing position- and time-dependent one-body density and particle current as variational fields.
  • Employed a generating functional minimized by the true current time derivative.
  • Formulated a closed set of one-body equations of motion using Euler-Lagrange and continuity equations.

Main Results:

  • The theory generates space- and time-nonlocal one-body forces via the superadiabatic contribution.
  • The derived equations of motion form a closed set, simplifying the analysis.
  • The framework is applicable to complex many-electron systems.

Conclusions:

  • The developed one-body variational theory offers a new pathway for simulating quantum many-body dynamics.
  • This approach has the potential to significantly advance the study of time evolution in quantum systems, particularly for many-electron problems.