Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-12-14
J.Stat.Mech.2011:03004,2011
Physics
Condensed Matter
Statistical Mechanics
29 pages, 5 figures
Scientific paper
10.1088/1742-5468/2011/03/P03004
In this and subsequent paper arXiv:1011.5185 we develop a recursive approach for calculating the short-time expansion of the propagator for a general quantum system in a time-dependent potential to orders that have not yet been accessible before. To this end the propagator is expressed in terms of a discretized effective potential, for which we derive and analytically solve a set of efficient recursion relations. Such a discretized effective potential can be used to substantially speed up numerical Monte Carlo simulations for path integrals, or to set up various analytic approximation techniques to study properties of quantum systems in time-dependent potentials. The analytically derived results are numerically verified by treating several simple models.
Balaz Antun
Belic Aleksandar
Bogojevic Aleksandar
Pelster Axel
Vidanović Ivana
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