Unitary perturbation theory approach to real-time evolution problems

Details Unitary perturbation theory approach to real-time evolution problems Unitary perturbation theory approach to real-time evolution problems

2008-09-20

arxiv.org/abs/0809.3524v2

J. Phys. C 21, 015601 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 6 figures several misprints corrected, added one reference final version as accepted by Journal of Physics C

Scientific paper

10.1088/0953-8984/21/1/015601

We discuss a new analytical approach to real-time evolution in quantum many-body systems. Our approach extends the framework of continuous unitary transformations such that it amounts to a novel solution method for the Heisenberg equations of motion for an operator. It is our purpose to illustrate the accuracy of this approach by studying dissipative quantum systems on all time scales. In particular, we obtain results for non-equilibrium correlation functions for general initial conditions. We illustrate our ideas for the exactly solvable dissipative oscillator, and, as a non-trivial model, for the dissipative two-state system.

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