dorsal/arxiv
View SchemaDriven harmonic oscillator as a quantum simulator for open systems
| Authors | Jyrki Piilo, Sabrina Maniscalco |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601081 |
| URL | https://arxiv.org/abs/quant-ph/0601081 |
| DOI | 10.1103/PhysRevA.74.032303 |
| Journal | Phys. Rev. A 74, 032303 (2006) |
Abstract
We show theoretically how a driven harmonic oscillator can be used as a quantum simulator for non-Markovian damped harmonic oscillator. In the general framework, the results demonstrate the possibility to use a closed system as a simulator for open quantum systems. The quantum simulator is based on sets of controlled drives of the closed harmonic oscillator with appropriately tailored electric field pulses. The non-Markovian dynamics of the damped harmonic oscillator is obtained by using the information about the spectral density of the open system when averaging over the drives of the closed oscillator. We consider single trapped ions as a specific physical implementation of the simulator, and we show how the simulator approach reveals new physical insight into the open system dynamics, e.g. the characteristic quantum mechanical non-Markovian oscillatory behavior of the energy of the damped oscillator, usually obtained by the non-Lindblad-type master equation, can have a simple semiclassical interpretation.
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"abstract": "We show theoretically how a driven harmonic oscillator can be used as a\nquantum simulator for non-Markovian damped harmonic oscillator. In the general\nframework, the results demonstrate the possibility to use a closed system as a\nsimulator for open quantum systems. The quantum simulator is based on sets of\ncontrolled drives of the closed harmonic oscillator with appropriately tailored\nelectric field pulses. The non-Markovian dynamics of the damped harmonic\noscillator is obtained by using the information about the spectral density of\nthe open system when averaging over the drives of the closed oscillator. We\nconsider single trapped ions as a specific physical implementation of the\nsimulator, and we show how the simulator approach reveals new physical insight\ninto the open system dynamics, e.g. the characteristic quantum mechanical\nnon-Markovian oscillatory behavior of the energy of the damped oscillator,\nusually obtained by the non-Lindblad-type master equation, can have a simple\nsemiclassical interpretation.",
"arxiv_id": "quant-ph/0601081",
"authors": [
"Jyrki Piilo",
"Sabrina Maniscalco"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.032303",
"journal_ref": "Phys. Rev. A 74, 032303 (2006)",
"title": "Driven harmonic oscillator as a quantum simulator for open systems",
"url": "https://arxiv.org/abs/quant-ph/0601081"
},
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