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Exact solution of the Schrodinger equation with the spin-boson Hamiltonian
- Source :
- J. Phys. A: Math. Theor. 44 (2011) 195301
- Publication Year :
- 2011
-
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.<br />Comment: 9 pages, LaTeX, to appear in Journal of Physics A: Mathematical and Theoretical
- Subjects :
- Quantum Physics
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 44 (2011) 195301
- Publication Type :
- Report
- Accession number :
- edsarx.1103.4383
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/44/19/195301