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Thermofield theory for finite-temperature quantum chemistry.

Gaurav Harsha1, Thomas M Henderson1, Gustavo E Scuseria1

  • 1Department of Physics and Astronomy, Rice University, Houston, Texas 77005-1892, USA.

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|April 22, 2019
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Thermofield dynamics offers a powerful approach for studying the thermal properties of electronic systems. This research introduces new methods for applying this theory to physics and chemistry problems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Physical chemistry

Background:

  • Thermofield dynamics is a valuable tool in high-energy physics for handling time- and temperature-dependent phenomena.
  • Its potential for investigating thermal properties of electronic systems in physics and chemistry remains largely unexplored.

Purpose of the Study:

  • To establish a general framework for finite temperature correlated wave function methods.
  • To introduce and evaluate two novel approaches, fixed-reference and covariant methods, for solving the imaginary time Schrödinger equation.

Main Methods:

  • Development of a general framework for finite temperature correlated wave function methods.
  • Implementation of fixed-reference and covariant methods based on the imaginary time Schrödinger equation.
  • Application to the Hubbard model using thermal configuration interaction theory.

Main Results:

  • The study demonstrates the applicability of thermofield dynamics to electronic systems.
  • Comparison of fixed-reference and covariant methods applied to the Hubbard model.
  • Validation of the derived methods against exact benchmark results.

Conclusions:

  • Thermofield dynamics provides a robust theoretical foundation for studying thermal properties of electronic systems.
  • The proposed fixed-reference and covariant methods offer effective computational strategies.
  • This work bridges high-energy physics theory with condensed matter and chemical physics applications.