dorsal/arxiv
View SchemaQuantum state diffusion, localization and computation
| Authors | R. Schack, T. A. Brun, I. C. Percival |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506039 |
| URL | https://arxiv.org/abs/quant-ph/9506039 |
| DOI | 10.1088/0305-4470/28/18/028 |
| Journal | J.Phys. A28 (1995) 5401-5414 |
Abstract
Numerical simulation of individual open quantum systems has proven advantages over density operator computations. Quantum state diffusion with a moving basis (MQSD) provides a practical numerical simulation method which takes full advantage of the localization of quantum states into wave packets occupying small regions of classical phase space. Following and extending the original proposal of Percival, Alber and Steimle, we show that MQSD can provide a further gain over ordinary QSD and other quantum trajectory methods of many orders of magnitude in computational space and time. Because of these gains, it is even possible to calculate an open quantum system trajectory when the corresponding isolated system is intractable. MQSD is particularly advantageous where classical or semiclassical dynamics provides an adequate qualitative picture but is numerically inaccurate because of significant quantum effects. The principles are illustrated by computations for the quantum Duffing oscillator and for second harmonic generation in quantum optics. Potential applications in atomic and molecular dynamics, quantum circuits and quantum computation are suggested.
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"abstract": "Numerical simulation of individual open quantum systems has proven advantages\nover density operator computations. Quantum state diffusion with a moving basis\n(MQSD) provides a practical numerical simulation method which takes full\nadvantage of the localization of quantum states into wave packets occupying\nsmall regions of classical phase space. Following and extending the original\nproposal of Percival, Alber and Steimle, we show that MQSD can provide a\nfurther gain over ordinary QSD and other quantum trajectory methods of many\norders of magnitude in computational space and time. Because of these gains, it\nis even possible to calculate an open quantum system trajectory when the\ncorresponding isolated system is intractable. MQSD is particularly advantageous\nwhere classical or semiclassical dynamics provides an adequate qualitative\npicture but is numerically inaccurate because of significant quantum effects.\nThe principles are illustrated by computations for the quantum Duffing\noscillator and for second harmonic generation in quantum optics. Potential\napplications in atomic and molecular dynamics, quantum circuits and quantum\ncomputation are suggested.",
"arxiv_id": "quant-ph/9506039",
"authors": [
"R. Schack",
"T. A. Brun",
"I. C. Percival"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1088/0305-4470/28/18/028",
"journal_ref": "J.Phys. A28 (1995) 5401-5414",
"title": "Quantum state diffusion, localization and computation",
"url": "https://arxiv.org/abs/quant-ph/9506039"
},
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