dorsal/arxiv
View SchemaA generalized quantum microcanonical ensemble
| Authors | Jan Naudts, Erik Van der Straeten |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602039 |
| URL | https://arxiv.org/abs/quant-ph/0602039 |
| DOI | 10.1088/1742-5468/2006/06/P06015 |
| Journal | J. Stat. Mech. P06015 (2006) |
Abstract
We discuss a generalized quantum microcanonical ensemble. It describes isolated systems that are not necessarily in an eigenstate of the Hamilton operator. Statistical averages are obtained by a combination of a time average and a maximum entropy argument to resolve the lack of knowledge about initial conditions. As a result, statistical averages of linear observables coincide with values obtained in the canonical ensemble. Non-canonical averages can be obtained by taking into account conserved quantities which are non-linear functions of the microstate.
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"abstract": "We discuss a generalized quantum microcanonical ensemble. It describes\nisolated systems that are not necessarily in an eigenstate of the Hamilton\noperator. Statistical averages are obtained by a combination of a time average\nand a maximum entropy argument to resolve the lack of knowledge about initial\nconditions. As a result, statistical averages of linear observables coincide\nwith values obtained in the canonical ensemble. Non-canonical averages can be\nobtained by taking into account conserved quantities which are non-linear\nfunctions of the microstate.",
"arxiv_id": "quant-ph/0602039",
"authors": [
"Jan Naudts",
"Erik Van der Straeten"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1742-5468/2006/06/P06015",
"journal_ref": "J. Stat. Mech. P06015 (2006)",
"title": "A generalized quantum microcanonical ensemble",
"url": "https://arxiv.org/abs/quant-ph/0602039"
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