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arXiv · 1103.4383

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

Bartlomiej Gardas
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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.

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Bartlomiej Gardas. 2011-03-22. Exact solution of the Schrodinger equation with the spin-boson Hamiltonian. https://doi.org/10.1088/1751-8113%2F44%2F19%2F195301

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