dorsal/arxiv
View SchemaOptimizing stochastic trajectories in exact quantum jump approaches of interacting systems
| Authors | Denis Lacroix |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411116 |
| URL | https://arxiv.org/abs/quant-ph/0411116 |
| DOI | 10.1103/PhysRevA.72.013805 |
| Journal | Phys.Rev.A72:013805,2005 |
Abstract
The quantum jump approach, where pairs of state vectors follow Stochastic Schroedinger Equation (SSE) in order to treat the exact quantum dynamics of two interacting systems, is first described. In this work the non-uniqueness of such stochastic Schroedinger equations is investigated to propose strategies to optimize the stochastic paths and reduce statistical fluctuations. In the proposed method, called the 'adaptative noise method', a specific SSE is obtained for which the noise depends explicitly on both the initial state and on the properties of the interaction Hamiltonian. It is also shown that this method can be further improved by introduction of a mean-field dynamics. The different optimization procedures are illustrated quantitatively in the case of interacting spins. A significant reduction of the statistical fluctuations is obtained. Consequently a much smaller number of trajectories is needed to accurately reproduce the exact dynamics as compared to the SSE without optimization.
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"abstract": "The quantum jump approach, where pairs of state vectors follow Stochastic\nSchroedinger Equation (SSE) in order to treat the exact quantum dynamics of two\ninteracting systems, is first described. In this work the non-uniqueness of\nsuch stochastic Schroedinger equations is investigated to propose strategies to\noptimize the stochastic paths and reduce statistical fluctuations. In the\nproposed method, called the \u0027adaptative noise method\u0027, a specific SSE is\nobtained for which the noise depends explicitly on both the initial state and\non the properties of the interaction Hamiltonian. It is also shown that this\nmethod can be further improved by introduction of a mean-field dynamics. The\ndifferent optimization procedures are illustrated quantitatively in the case of\ninteracting spins. A significant reduction of the statistical fluctuations is\nobtained. Consequently a much smaller number of trajectories is needed to\naccurately reproduce the exact dynamics as compared to the SSE without\noptimization.",
"arxiv_id": "quant-ph/0411116",
"authors": [
"Denis Lacroix"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.013805",
"journal_ref": "Phys.Rev.A72:013805,2005",
"title": "Optimizing stochastic trajectories in exact quantum jump approaches of interacting systems",
"url": "https://arxiv.org/abs/quant-ph/0411116"
},
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