Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory

Details Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory

2007-09-13

arxiv.org/abs/0709.2100v2

Phys. Rev. B 78, 092303 (2008).

Physics

Condensed Matter

Strongly Correlated Electrons

Final version as accepted for publication in Phys. Rev. B (4 pages, 3 figures)

Scientific paper

10.1103/PhysRevB.78.092303

We develop a new 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 non-equilibrium spin dynamics.

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