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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Theoretical Chemistry

Background:

  • Coupled-cluster (CC) methods are essential for accurate electronic structure calculations.
  • Simulating complex fermionic systems, especially mixtures, presents significant computational challenges.
  • Existing methods like time-dependent multiconfiguration self-consistent-field (TDMCSCF) have limitations for certain systems.

Purpose of the Study:

  • To develop novel time-dependent coupled-cluster (TDCC) methods for fermion mixtures.
  • To provide computationally tractable alternatives to TDMCSCF for systems with arbitrary fermion types and numbers.
  • To ensure the developed methods maintain key physical invariances and offer accurate descriptions.

Main Methods:

  • Presentation of five time-dependent orbital-optimized coupled-cluster (TDOOCC) methods.
  • Derivation of truncation schemes that preserve intragroup orbital rotation invariance.
  • Formulation of equations of motion for CC amplitudes and orbitals.
  • Four methods are designed to converge to the time-dependent complete active space self-consistent-field (TDCASSCF) limit.

Main Results:

  • The proposed TDOOCC methods serve as compact parameterization alternatives to TDMCSCF.
  • These methods are applicable to fermion mixtures with arbitrary kinds and numbers of fermions.
  • Theoretical analysis demonstrates the applicability of these methods to diverse chemical systems.

Conclusions:

  • The developed TDOOCC methods provide a powerful new toolkit for studying interacting fermion systems.
  • These methods offer enhanced accuracy and flexibility compared to existing computational approaches.
  • The theoretical framework supports broad applications in quantum chemistry and condensed matter physics.