For distribution - thanks
CM ICTP - Trieste
cm at ictp.it
Fri May 4 11:28:18 CEST 2007
SEMINAR on Disorder and strong electron correlations
Thursday, 10 May - 11:00 a.m.
Lecture Room 'C', Main Bldg.- terrace level
S. KEHREIN ( Ludwig-Maximilians Universität München )
" Real time evolution of quantum many-particle systems: The flow
equation approach"
Abstract
The analytical evaluation of the real time evolution of a quantum
many-particle system far out of equilibrium poses a challenging
problem. Without prior knowledge about the long-time behavior,
perturbative calculations suffer from spurious terms (secular terms),
which grow in an uncontrolled way for large times. The flow equation
approach (infinitesimal unitary transformation approach) can overcome
some of these problems by studying the real time evolution of
observables in the Heisenberg picture in a suitable energy-diagonal
basis. This basis is obtained by an approximate renormalization group-
like diagonalization of the Hamiltonian. In this talk I will review the
method and show its application to various quantum many-particle
problems.
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