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Quantifying fermionic decoherence in many-body systems.

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New distilled purities offer practical ways to measure electronic decoherence in many-body systems. These measures use accessible reduced density matrices, aiding quantum dynamics analysis.

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Area of Science:

  • Quantum Chemistry
  • Many-Body Physics
  • Computational Chemistry

Background:

  • Electronic decoherence is crucial for understanding quantum systems.
  • Traditional purity measures require N-particle density matrices, which are computationally challenging for large systems.
  • Reduced density matrices (RDMs) are more accessible but require new methods to quantify coherence.

Purpose of the Study:

  • Introduce practical measures of electronic decoherence, termed distilled purities.
  • Develop methods to quantify coherence using more accessible r-body reduced density matrices (r-RDMs).
  • Analyze the quantum dynamics of many-electron systems using these new coherence measures.

Main Methods:

  • Define distilled purities as derivative quantities of r-body reduced purities.
  • Exploit the structure of reduced purities to extract coherences between Slater determinants.
  • Derive exact expressions for one-body and two-body distilled purities.

Main Results:

  • Distilled purities provide a practical platform to quantify electronic coherences in a given basis.
  • The method was applied to analyze the dynamics of oligo-acetylene using the Su-Schrieffer-Heeger Hamiltonian.
  • Demonstrated the utility of distilled purities for analyzing quantum dynamics.

Conclusions:

  • Distilled purities offer a computationally feasible approach to assess electronic decoherence.
  • These measures are valuable for studying the quantum dynamics of complex many-electron systems.
  • Comparison of purity, reduced purity, and distilled purity highlights their respective advantages and limitations.