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Second Quantized Reduced Bloch Equations and the Exact Solutions for Pairing Hamiltonian | | Liqiang Wei
; C. C. Sun
; | | Date: |
12 Nov 2003 | | Journal: | Annual of Physics 313, 1 (2004) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | 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. | | Source: | arXiv, cond-mat/0311288 | | Services: | Forum | Review | PDF | Favorites | |
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