dorsal/arxiv
View SchemaIntegral equation of quantum stochastic process
| Authors | Jerzy Stryla |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204160 |
| URL | https://arxiv.org/abs/quant-ph/0204160 |
Abstract
To describe stochastic quantum processes I propose an integral equation of Volterra type which is not generally transformable to any differential one. The process is a composition of ordinary quantum evolution which admits presence of a quantum bath and reductions to pure states. It is proved that generically solutions stabilize asymptotically for $t\to +\infty$ to a universal limit - the projection onto the state with maximal available entropy. A number of typical methods of finding solutions of the equation are proposed.
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"abstract": "To describe stochastic quantum processes I propose an integral equation of\nVolterra type which is not generally transformable to any differential one. The\nprocess is a composition of ordinary quantum evolution which admits presence of\na quantum bath and reductions to pure states. It is proved that generically\nsolutions stabilize asymptotically for $t\\to +\\infty$ to a universal limit -\nthe projection onto the state with maximal available entropy. A number of\ntypical methods of finding solutions of the equation are proposed.",
"arxiv_id": "quant-ph/0204160",
"authors": [
"Jerzy Stryla"
],
"categories": [
"quant-ph"
],
"title": "Integral equation of quantum stochastic process",
"url": "https://arxiv.org/abs/quant-ph/0204160"
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