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Semiclassical initial value series solution of the spin boson problem

2007; American Institute of Physics; Volume: 126; Issue: 16 Linguagem: Inglês

10.1063/1.2714520

1520-9032

Eva Martín-Fierro, Eli Pollak,

Spectroscopy and Quantum Chemical Studies

A numerical solution for the quantum dynamics of the spin boson problem is obtained using the semiclassical initial value series representation approach to the quantum dynamics. The zeroth order term of the series is computed using the new forward-backward representation for correlation functions presented in the preceding adjacent paper. This leads to a rapid convergence of the Monte Carlo sampling, as compared to previous attempts. The zeroth order results are already quite accurate. The first order term of the series is small, demonstrating the rapid convergence of the semiclassical initial value representation series. This is the first time that the first order term in the semiclassical initial value representation series has been converged for systems with the order of 50 degrees of freedom.