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.

arXiv comment9 pages, LaTeX, to appear in Journal of Physics A: Mathematical and Theoretical

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Cited by in corpus (6)

• Simulating generic spin-boson models with matrix product states
• Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System
• $\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence
• Consistent perturbative treatment of the subohmic spin-boson model yielding arbitrarily small $T_2/T_1$ decoherence time ratios
• Stationary states of two-level open quantum systems
• Notes on the Riccati operator equation in open quantum systems