dorsal/arxiv
View SchemaQuantum Monte-Carlo methods and exact treatment of the two-body problem with Hartree-Fock Bogoliubov states
| Authors | Denis Lacroix |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605033 |
| URL | https://arxiv.org/abs/nucl-th/0605033 |
Abstract
In this article, we show that the exact two-body problem can be replaced by quantum jumps between densities written as $D=| \Psi_a \right> \left< \Psi_b |$ where $| \Psi_a \right>$ and $| \Psi_b \right>$ are vacuum for different quasi-particles operators. It is shown that the stochastic process can be written as a Stochastic Time-Dependent Hartree-Fock Bogoliubov theory (Stochastic TDHFB) for the generalized density ${\cal R}$ associated to $D$ where ${\cal R}^2 = {\cal R}$ along each stochastic trajectory.
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"date_created": "2026-03-02T18:00:08.117000Z",
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"abstract": "In this article, we show that the exact two-body problem can be replaced by\nquantum jumps between densities written as $D=| \\Psi_a \\right\u003e \\left\u003c \\Psi_b |$\nwhere $| \\Psi_a \\right\u003e$ and $| \\Psi_b \\right\u003e$ are vacuum for different\nquasi-particles operators. It is shown that the stochastic process can be\nwritten as a Stochastic Time-Dependent Hartree-Fock Bogoliubov theory\n(Stochastic TDHFB) for the generalized density ${\\cal R}$ associated to $D$\nwhere ${\\cal R}^2 = {\\cal R}$ along each stochastic trajectory.",
"arxiv_id": "nucl-th/0605033",
"authors": [
"Denis Lacroix"
],
"categories": [
"nucl-th",
"cond-mat.mes-hall",
"quant-ph"
],
"title": "Quantum Monte-Carlo methods and exact treatment of the two-body problem with Hartree-Fock Bogoliubov states",
"url": "https://arxiv.org/abs/nucl-th/0605033"
},
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