Second Quantized Reduced Bloch Equations and the Exact Solutions for Pairing Hamiltonian
Statistical Mechanics
2009-11-10 v1
Abstract
In this article, we present a set of hierarchy Bloch equations for the reduced density operators in either canonical or grand canonical ensembles in the occupation number representation. They provide a convenient tool for studying the equilibrium quantum statistical mechanics for some model systems. As an example of their applications, we solve the equations for the model system with a pairing Hamiltonian. With the aid of its symplectic group symmetry, we obtain the statistical reduced density matrices with different orders. As a special instance for the solutions, we also get the reduced density matrices of the ground state for a superconductor.
Keywords
Cite
@article{arxiv.cond-mat/0311288,
title = {Second Quantized Reduced Bloch Equations and the Exact Solutions for Pairing Hamiltonian},
author = {Liqiang Wei and C. C. Sun},
journal= {arXiv preprint arXiv:cond-mat/0311288},
year = {2009}
}