Phys. Rev. B 78, 092303 (2008) [4 pages]Real time evolution in quantum many-body systems with unitary perturbation theoryReceived 3 February 2008; revised 29 July 2008; published 17 September 2008 We develop an analytical method for solving real time evolution problems of quantum many-body systems. Our approach is a direct generalization of the well-known canonical perturbation theory for classical systems. Similar to canonical perturbation theory, secular terms are avoided in a systematic expansion and one obtains stable long-time behavior. These general ideas are illustrated by applying them to the spin-boson model and studying its nonequilibrium spin dynamics. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.092303
DOI:
10.1103/PhysRevB.78.092303
PACS:
05.10.Cc, 03.65.Yz, 71.55.−i
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