dorsal/arxiv
View SchemaVariance minimization variational Monte Carlo method
| Authors | Imran Khan, Bo Gao |
|---|---|
| Categories | |
| ArXiv ID | physics/0701223 |
| URL | https://arxiv.org/abs/physics/0701223 |
Abstract
We present a variational Monte Carlo (VMC) method that works equally well for the ground and the excited states of a quantum system. The method is based on the minimization of the variance of energy, as opposed to the energy itself in standard methods. As a test, it is applied to the investigation of the universal spectrum at the van der Waals length scale for two identical Bose atoms in a symmetric harmonic trap, with results compared to the basically exact results obtained from a multiscale quantum-defect theory.
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"abstract": "We present a variational Monte Carlo (VMC) method that works equally well for\nthe ground and the excited states of a quantum system. The method is based on\nthe minimization of the variance of energy, as opposed to the energy itself in\nstandard methods. As a test, it is applied to the investigation of the\nuniversal spectrum at the van der Waals length scale for two identical Bose\natoms in a symmetric harmonic trap, with results compared to the basically\nexact results obtained from a multiscale quantum-defect theory.",
"arxiv_id": "physics/0701223",
"authors": [
"Imran Khan",
"Bo Gao"
],
"categories": [
"physics.comp-ph",
"physics.atom-ph"
],
"title": "Variance minimization variational Monte Carlo method",
"url": "https://arxiv.org/abs/physics/0701223"
},
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