dorsal/arxiv
View SchemaA perturbative approach to non-Markovian stochastic Schr\"odinger equations
| Authors | Jay Gambetta, H. M. Wiseman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208169 |
| URL | https://arxiv.org/abs/quant-ph/0208169 |
| DOI | 10.1103/PhysRevA.66.052105 |
| Journal | Phys. Rev. A 66, 052105 (2002) |
Abstract
In this paper we present a perturbative procedure that allows one to numerically solve diffusive non-Markovian Stochastic Schr\"odinger equations, for a wide range of memory functions. To illustrate this procedure numerical results are presented for a classically driven two level atom immersed in a environment with a simple memory function. It is observed that as the order of the perturbation is increased the numerical results for the ensembled average state $\rho_{\rm red}(t)$ approach the exact reduced state found via Imamo\=glu's enlarged system method [Phys. Rev. A. 50, 3650 (1994)].
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"abstract": "In this paper we present a perturbative procedure that allows one to\nnumerically solve diffusive non-Markovian Stochastic Schr\\\"odinger equations,\nfor a wide range of memory functions. To illustrate this procedure numerical\nresults are presented for a classically driven two level atom immersed in a\nenvironment with a simple memory function. It is observed that as the order of\nthe perturbation is increased the numerical results for the ensembled average\nstate $\\rho_{\\rm red}(t)$ approach the exact reduced state found via\nImamo\\=glu\u0027s enlarged system method [Phys. Rev. A. 50, 3650 (1994)].",
"arxiv_id": "quant-ph/0208169",
"authors": [
"Jay Gambetta",
"H. M. Wiseman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.052105",
"journal_ref": "Phys. Rev. A 66, 052105 (2002)",
"title": "A perturbative approach to non-Markovian stochastic Schr\\\"odinger equations",
"url": "https://arxiv.org/abs/quant-ph/0208169"
},
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