Dynamical Behavior of the Dissipative Two-State System

Details Dynamical Behavior of the Dissipative Two-State System Dynamical Behavior of the Dissipative Two-State System

1997-12-08

arxiv.org/abs/cond-mat/9712080v3

Phys. Rev. B 58, 1862 (1998)

Physics

Condensed Matter

RevTeX, 11 pages, 13 figures included

Scientific paper

10.1103/PhysRevB.58.1862

We investigate the dynamical correlation function of a quantum-mechanical two-state system which is coupled to a bosonic heat bath, utilizing the equivalence between the spin-boson Hamiltonian and the 1/r^2 Ising model. The imaginary-time correlation function is calculated by Monte-Carlo simulations on the Ising system and then continued to real time by a Pade approximation. In the unbiased system, the transition from oscillatory to strongly damped behavior is found to occur at a coupling strength close to alpha = 1/2. The biased system favors coherent relaxation and displays a significantly larger crossover value alpha_c. We introduce the quasiparticle picture to describe the relevant behavior at intermediate time scales. Within this approximation, we map out phase diagrams for the unbiased and biased systems.

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