dorsal/arxiv
View SchemaGaussian quantum operator representation for bosons
| Authors | Joel F. Corney, Peter D. Drummond |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308064 |
| URL | https://arxiv.org/abs/quant-ph/0308064 |
| DOI | 10.1103/PhysRevA.68.063822 |
| Journal | Phys. Rev. A 68, 063822 (2003). |
Abstract
We introduce the Gaussian quantum operator representation, using the most general multi-mode Gaussian operator basis. The representation unifies and substantially extends existing phase-space representations of density matrices for Bose systems, and also includes generalized squeezed-state and thermal bases. It enables first-principles dynamical or equilibrium calculations in quantum many-body systems, with quantum uncertainties appearing as dynamical objects. Any quadratic Liouville equation for the density operator results in a purely deterministic time evolution. Any cubic or quartic master equation can be treated using stochastic methods.
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"abstract": "We introduce the Gaussian quantum operator representation, using the most\ngeneral multi-mode Gaussian operator basis. The representation unifies and\nsubstantially extends existing phase-space representations of density matrices\nfor Bose systems, and also includes generalized squeezed-state and thermal\nbases. It enables first-principles dynamical or equilibrium calculations in\nquantum many-body systems, with quantum uncertainties appearing as dynamical\nobjects. Any quadratic Liouville equation for the density operator results in a\npurely deterministic time evolution. Any cubic or quartic master equation can\nbe treated using stochastic methods.",
"arxiv_id": "quant-ph/0308064",
"authors": [
"Joel F. Corney",
"Peter D. Drummond"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.063822",
"journal_ref": "Phys. Rev. A 68, 063822 (2003).",
"title": "Gaussian quantum operator representation for bosons",
"url": "https://arxiv.org/abs/quant-ph/0308064"
},
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