direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

Expectation value based cluster expansion

Held by Alexander Leymann (Otto von Guericke University of Magdeburg, Germany)
04.12.2012, 14:15
EW 731

We present a new method to formulate equations of motion for open quantum many-particle systems involving different kinds of particles. This method reformulates and generalizes the well known cluster expansion technique [1], but uses expectation values instead of correlation functions. The use of expectation values considerably reduces the amount of algebraic effort to derive the equations and increases the flexibility concerning the approximation principles. Neglecting correlations is not a new concept but our formulation allows for a new perspective on various approximation techniques presented recently in [2-5].

To illustrate the efficiency of our scheme we extend the semiconductor model for quantum-dot-based microcavity lasers developed in [3] to higher order photon auto-correlation functions and confirm the convergence of the cluster expansion, by going up to 10th order in the expectation value based cluster expansion.

[1] J. Fricke, Ann. Phys. (N.Y.) 252, 479 (1996).
[2] A. Carmele, M. Richter, W. W. Chow, and A. Knorr, Phys. Rev. Lett. 104, 156801 (2010).
[3] C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, Phys. Rev. A 75, 013803 (2007).
[4] M. Richter, A. Carmele, A. Sitek, and A. Knorr, Phys. Rev. Lett. 103, 087407 (2009).
[5] S. Ritter, P. Gartner, C. Gies, and F. Jahnke, Opt. Express 18, 9909 (2010).


Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

Auxiliary Functions

Copyright TU Berlin 2008