dorsal/arxiv
View SchemaOn the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework
| Authors | S. Tasaki, K. Yuasa, P. Facchi, G. Kimura, H. Nakazato, I. Ohba, S. Pascazio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602184 |
| URL | https://arxiv.org/abs/quant-ph/0602184 |
| DOI | 10.1016/j.aop.2006.06.004 |
| Journal | Ann. Phys. 322 (2007) 631-656 |
Abstract
We analyze the dynamics of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. In the weak-coupling (van Hove) limit, the dynamics can be properly described in terms of a master equation, but a consistent application of Nakajima-Zwanzig's projection method requires that the reference (not necessarily equilibrium) state of the reservoir be endowed with the mixing property.
{
"annotation_id": "7efdd309-6571-4814-9744-249060477f0e",
"date_created": "2026-03-02T18:02:24.186000Z",
"date_modified": "2026-03-02T18:02:24.186000Z",
"file_hash": "ff99886f9e4533f8aca76d9745408f59a38cf189c278685dcfdfd91d879f00d1",
"private": false,
"record": {
"abstract": "We analyze the dynamics of a quantum mechanical system in interaction with a\nreservoir when the initial state is not factorized. In the weak-coupling (van\nHove) limit, the dynamics can be properly described in terms of a master\nequation, but a consistent application of Nakajima-Zwanzig\u0027s projection method\nrequires that the reference (not necessarily equilibrium) state of the\nreservoir be endowed with the mixing property.",
"arxiv_id": "quant-ph/0602184",
"authors": [
"S. Tasaki",
"K. Yuasa",
"P. Facchi",
"G. Kimura",
"H. Nakazato",
"I. Ohba",
"S. Pascazio"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2006.06.004",
"journal_ref": "Ann. Phys. 322 (2007) 631-656",
"title": "On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework",
"url": "https://arxiv.org/abs/quant-ph/0602184"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6ef10f4e-b05b-471d-8d88-11cb972e4b5f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}