dorsal/arxiv
View SchemaDistribution of local entropy in the Hilbert space of bi-partite quantum systems: Origin of Jaynes' principle
| Authors | J. Gemmer, G. Mahler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201136 |
| URL | https://arxiv.org/abs/quant-ph/0201136 |
| DOI | 10.1140/epjb/e2003-00029-3 |
Abstract
For a closed bi-partite quantum system partitioned into system proper and environment we interprete the microcanonical and the canonical condition as constraints for the interaction between those two subsystems. In both cases the possible pure-state trajectories are confined to certain regions in Hilbert space. We show that in a properly defined thermodynamical limit almost all states within those accessible regions represent states of some maximum local entropy. For the microcanonical condition this dominant state still depends on the initial state; for the canonical condition it coincides with that defined by Jaynes' principle. It is these states which thermodynamical systems should generically evolve into.
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"abstract": "For a closed bi-partite quantum system partitioned into system proper and\nenvironment we interprete the microcanonical and the canonical condition as\nconstraints for the interaction between those two subsystems. In both cases the\npossible pure-state trajectories are confined to certain regions in Hilbert\nspace. We show that in a properly defined thermodynamical limit almost all\nstates within those accessible regions represent states of some maximum local\nentropy. For the microcanonical condition this dominant state still depends on\nthe initial state; for the canonical condition it coincides with that defined\nby Jaynes\u0027 principle. It is these states which thermodynamical systems should\ngenerically evolve into.",
"arxiv_id": "quant-ph/0201136",
"authors": [
"J. Gemmer",
"G. Mahler"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjb/e2003-00029-3",
"title": "Distribution of local entropy in the Hilbert space of bi-partite quantum systems: Origin of Jaynes\u0027 principle",
"url": "https://arxiv.org/abs/quant-ph/0201136"
},
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