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Representing the thermal state in time-dependent density functional theory.

N A Modine1, R M Hatcher2

  • 1Sandia National Laboratories, Albuquerque, New Mexico 87185-1315, USA.

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|June 1, 2015
PubMed
Summary
This summary is machine-generated.

Classical molecular dynamics (MD) and Time-Dependent Density Functional Theory (TDDFT) simulate thermodynamic properties. This study reformulates quantum statistical mechanics to represent thermal states within TDDFT, enabling accurate thermodynamic property calculations for electronic systems.

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Area of Science:

  • Computational Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Classical molecular dynamics (MD) simulates atomic motion for thermodynamic properties.
  • Time-Dependent Density Functional Theory (TDDFT) simulates electron quantum evolution.
  • TDDFT maps complex electron systems to simpler non-interacting ones.

Purpose of the Study:

  • To address the challenge of representing thermal states in TDDFT.
  • To enable the calculation of thermodynamic properties from TDDFT simulations.
  • To bridge the gap between TDDFT's pure states and quantum statistical mechanics' mixed states.

Main Methods:

  • Reformulating quantum statistical mechanics for pure state averaging.
  • Developing a family of TDDFT states approximating canonical ensemble states.
  • Utilizing time-dependent potentials to excite electronic systems.

Main Results:

  • A method to obtain thermodynamic expectations as averages over many-body pure states.
  • Construction of non-interacting TDDFT states approximating canonical ensemble states.
  • Demonstration that TDDFT can capture initial electronic thermalization.

Conclusions:

  • TDDFT can potentially simulate electronic thermalization and thermodynamic properties.
  • The developed methods offer a new pathway for quantum statistical mechanics in TDDFT.
  • Further research is needed to fully represent thermal states within TDDFT.