Tunneling dynamics with a mixed quantum-classical method: quantum corrected propagator combined with frozen Gaussian wave packets.
The recently developed mixed quantum-classical propagation method is extended to treat tunneling effects in multidimensional systems. Formulated for systems consisting of a quantum primary part and a classical bath of heavier particles, the method employs a frozen Gaussian description for the bath degrees of freedom, while the dynamics of the quantum subsystem is governed by a corrected propagator. The corrections are defined in terms of matrix elements of zeroth-order propagators. The method is applied to a model system of a double-well potential bilinearly coupled to a harmonic oscillator. The extension of the method, which includes nondiagonal elements of the correction propagator, enables an accurate treatment of tunneling in an antisymmetric double-well potential.
Gelman
David
D
Department of Biophysics, Albert Einstein College of Medicine, 1300 Morris Park Av., Bronx, New York 10461, USA.
Schwartz
Steven D
SD
D008962:Models, Theoretical; D016011:Normal Distribution; D011336:Probability; D011789:Quantum Theory