dorsal/arxiv
View SchemaQuantum dissipative systems from theory of continuous measurements
| Authors | Michael B. Mensky, Stig Stenholm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212104 |
| URL | https://arxiv.org/abs/quant-ph/0212104 |
| DOI | 10.1016/S0375-9601(03)00057-4 |
| Journal | Phys. Lett. A 308, 243-248 (2003). |
Abstract
We apply the restricted-path-integral (RPI) theory of non-minimally disturbing continuous measurements for correct description of frictional Brownian motion. The resulting master equation is automatically of the Lindblad form, so that the difficulties typical of other approaches do not exist. In the special case of harmonic oscillator the known familiar master equation describing its frictionally driven Brownian motion is obtained. A thermal reservoir as a measuring environment is considered.
{
"annotation_id": "91c7db87-77ed-4af9-8f5e-54293d4937d8",
"date_created": "2026-03-02T18:01:56.341000Z",
"date_modified": "2026-03-02T18:01:56.341000Z",
"file_hash": "6f040c0a8b6bde521ce61131ad8b15e679fa65e0c67a21ccbab33fdadd690de7",
"private": false,
"record": {
"abstract": "We apply the restricted-path-integral (RPI) theory of non-minimally\ndisturbing continuous measurements for correct description of frictional\nBrownian motion. The resulting master equation is automatically of the Lindblad\nform, so that the difficulties typical of other approaches do not exist. In the\nspecial case of harmonic oscillator the known familiar master equation\ndescribing its frictionally driven Brownian motion is obtained. A thermal\nreservoir as a measuring environment is considered.",
"arxiv_id": "quant-ph/0212104",
"authors": [
"Michael B. Mensky",
"Stig Stenholm"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(03)00057-4",
"journal_ref": "Phys. Lett. A 308, 243-248 (2003).",
"title": "Quantum dissipative systems from theory of continuous measurements",
"url": "https://arxiv.org/abs/quant-ph/0212104"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "30fcf626-73ce-4127-9382-51f6a5a17e1c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}