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An open quantum system theory for polarizable continuum models.

Ciro A Guido1, Marta Rosa1, Roberto Cammi2

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This study reformulates quantum chemistry solute-solvent interactions using open quantum systems (OQS) theory. The new OQS-PCM framework unifies electronic dynamics, including polarization, dispersion, and solvent fluctuations for accurate solvation modeling.

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Area of Science:

  • Quantum Chemistry
  • Theoretical Chemistry
  • Chemical Physics

Background:

  • Accurately modeling solute-solvent interactions is crucial in chemistry and physics.
  • The polarizable continuum model (PCM) is widely used but has limitations in capturing dynamic solvent effects.
  • Quantum chemistry calculations often treat solvents as static or simplified environments.

Purpose of the Study:

  • To reformulate the quantum chemistry solute-in-solvent problem using open quantum systems (OQS) theory.
  • To develop a unified theoretical framework (OQS-PCM) that incorporates dynamic solvent effects.
  • To provide a more comprehensive understanding of electronic energies and solute-solvent coupling.

Main Methods:

  • Reformulation of the solute-solvent problem within the OQS framework.
  • Utilizing the stochastic Schrödinger equation formulation of OQS.
  • Development and application of the Open Quantum Systems-Polarizable Continuum Model (OQS-PCM).

Main Results:

  • The OQS-PCM naturally includes polarization, dispersion, and solvent fluctuations.
  • It captures non-Markovian solvent response and the interplay of electronic dynamical times.
  • The framework yields both standard PCM and Born-Oppenheimer solvation regimes.
  • A transparent expression for solute-solvent dispersion (van der Waals) interactions was derived.

Conclusions:

  • The OQS-PCM offers a unifying theoretical approach for quantum chemistry in solution.
  • It provides a more accurate and comprehensive description of electronic energies and dynamics.
  • The model enhances the understanding of solute-solvent interactions, including dispersion forces.