Exact solution of the Schrodinger equation with the spin-boson Hamiltonian

Abstract

We address the problem of obtaining the exact reduced dynamics of the spin-half (qubit) immersed within the bosonic bath (enviroment). An exact solution of the Schrodinger equation with the paradigmatic spin-boson Hamiltonian is obtained. We believe that this result is a major step ahead and may ultimately contribute to the complete resolution of the problem in question. We also construct the constant of motion for the spin-boson system. In contrast to the standard techniques available within the framework of the open quantum systems theory, our analysis is based on the theory of block operator matrices.

9 pages, LaTeX, to appear in Journal of Physics A: Mathematical and Theoretical

References in corpus (3)

• Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
• Riccati equation and the problem of decoherence
• Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath

Cited by in corpus (1)

• Stationary states of two-level open quantum systems