Quantum-Classical Liouville Dynamics in the Mapping Basis

Details Quantum-Classical Liouville Dynamics in the Mapping Basis Quantum-Classical Liouville Dynamics in the Mapping Basis

2009-03-04

arxiv.org/abs/0903.0847v1

The Journal of Chemical Physics 129 (1) 084102 (2008)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1063/1.2971041

The quantum-classical Liouville equation describes the dynamics of a quantum subsystem coupled to a classical environment. It has been simulated using various methods, notably, surface-hopping schemes. A representation of this equation in the mapping Hamiltonian basis for the quantum subsystem is derived. The resulting equation of motion, in conjunction with expressions for quantum expectation values in the mapping basis, provide another route to the computation of the nonadiabatic dynamics of observables that does not involve surface-hopping dynamics. The quantum-classical Liouville equation is exact for the spin-boson system. This well-known model is simulated using an approximation to the evolution equation in the mapping basis and close agreement with exact quantum results is found.

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