dorsal/arxiv
View SchemaStochastic Schrodinger equations
| Authors | Luc Bouten, Madalin Guta, Hans Maassen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309205 |
| URL | https://arxiv.org/abs/quant-ph/0309205 |
| DOI | 10.1088/0305-4470/37/9/010 |
| Journal | J. Phys. A: Math. Gen. 37 (2004) 3189-3209 |
Abstract
A derivation of stochastic Schrodinger equations is given using quantum filtering theory. We study an open system in contact with its environment, the electromagnetic field. Continuous observation of the field yields information on the system: it is possible to keep track in real time of the best estimate of the system's quantum state given the observations made. This estimate satisfies a stochastic Schrodinger equation, which can be derived from the quantum stochastic differential equation for the interaction picture evolution of system and field together. Throughout the paper we focus on the basic example of resonance fluorescence.
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"abstract": "A derivation of stochastic Schrodinger equations is given using quantum\nfiltering theory. We study an open system in contact with its environment, the\nelectromagnetic field. Continuous observation of the field yields information\non the system: it is possible to keep track in real time of the best estimate\nof the system\u0027s quantum state given the observations made. This estimate\nsatisfies a stochastic Schrodinger equation, which can be derived from the\nquantum stochastic differential equation for the interaction picture evolution\nof system and field together. Throughout the paper we focus on the basic\nexample of resonance fluorescence.",
"arxiv_id": "quant-ph/0309205",
"authors": [
"Luc Bouten",
"Madalin Guta",
"Hans Maassen"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/9/010",
"journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 3189-3209",
"title": "Stochastic Schrodinger equations",
"url": "https://arxiv.org/abs/quant-ph/0309205"
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