Gaussian operator bases for correlated fermions
量子物理
2009-11-11 v1
摘要
We formulate a general multi-mode Gaussian operator basis for fermions, to enable a positive phase-space representation of correlated Fermi states. The Gaussian basis extends existing bosonic phase-space methods to Fermi systems and thus enables first-principles dynamical or equilibrium calculations in quantum many-body Fermi systems. We prove the completeness and positivity of the basis, and derive differential forms for products with one- and two-body operators. Because the basis satisfies fermionic superselection rules, the resulting phase space involves only c-numbers, without requiring anti-commuting Grassmann variables.
引用
@article{arxiv.quant-ph/0511007,
title = {Gaussian operator bases for correlated fermions},
author = {J. F. Corney and P. D. Drummond},
journal= {arXiv preprint arXiv:quant-ph/0511007},
year = {2009}
}