dorsal/arxiv
View SchemaGaussian operator bases for correlated fermions
| Authors | J. F. Corney, P. D. Drummond |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511007 |
| URL | https://arxiv.org/abs/quant-ph/0511007 |
| DOI | 10.1088/0305-4470/39/2/001 |
| Journal | J. Phys. A: Math. Gen. 39, 269 (2006). |
Abstract
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.
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"abstract": "We formulate a general multi-mode Gaussian operator basis for fermions, to\nenable a positive phase-space representation of correlated Fermi states. The\nGaussian basis extends existing bosonic phase-space methods to Fermi systems\nand thus enables first-principles dynamical or equilibrium calculations in\nquantum many-body Fermi systems. We prove the completeness and positivity of\nthe basis, and derive differential forms for products with one- and two-body\noperators. Because the basis satisfies fermionic superselection rules, the\nresulting phase space involves only c-numbers, without requiring anti-commuting\nGrassmann variables.",
"arxiv_id": "quant-ph/0511007",
"authors": [
"J. F. Corney",
"P. D. Drummond"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/2/001",
"journal_ref": "J. Phys. A: Math. Gen. 39, 269 (2006).",
"title": "Gaussian operator bases for correlated fermions",
"url": "https://arxiv.org/abs/quant-ph/0511007"
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