Time-Sliced Thawed Gaussian Propagation Method for Simulations of Quantum Dynamics.

Area of Science:

• Quantum mechanics
• Computational chemistry
• Theoretical physics

Background:

• Simulating quantum dynamics is computationally intensive.
• Existing methods often require complex calculations like multidimensional integrals or matrix inversions.

Purpose of the Study:

• Introduce a novel, rigorous method for quantum dynamics simulations.
• Develop a computationally efficient approach for propagating quantum states.

Main Methods:

• Utilizes concatenation of semiclassical thawed Gaussian propagation steps.
• Represents time-evolving states as superpositions of overlapping Gaussians.
• Updates expansion coefficients using analytical Husimi Transform.

Main Results:

• The time-sliced thawed Gaussian (TSTG) method allows full-quantum dynamics propagation.
• Avoids multidimensional integral calculations and overlap matrix inversions.
• Demonstrates quantitative agreement with benchmark methods for quantum tunneling simulations.

Conclusions:

• The TSTG method provides an accurate and efficient alternative for quantum dynamics simulations.
• Simplifies the simulation of quantum phenomena, including quantum tunneling.