dorsal/arxiv
View SchemaComment on "Time-dependent entropy of simple quantum model systems"
| Authors | Piotr Garbaczewski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509215 |
| URL | https://arxiv.org/abs/quant-ph/0509215 |
| DOI | 10.1103/PhysRevA.72.056101 |
| Journal | Phys Rev. A 72, (2005), 056101 |
Abstract
In the above mentioned paper by J. Dunkel and S. A. Trigger [Phys. Rev. {\bf A 71}, 052102, (2005)] a hypothesis has been pursued that the loss of information associated with the quantum evolution of pure states, quantified in terms of an increase in time of so-called Leipnik's joint entropy, could be a rather general property shared by many quantum systems. This behavior has been confirmed for the unconfined model systems and properly tuned initial data (maximally classical states). We provide two particular examples which indicate a complexity of the quantum evolution. In the presence of a confining (harmonic) potential Leipnik's entropy may be non-increasing for maximally classical initial data. Another choice of initial data implies periodicity in time of the Leipnik entropy.
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"abstract": "In the above mentioned paper by J. Dunkel and S. A. Trigger [Phys. Rev. {\\bf\nA 71}, 052102, (2005)] a hypothesis has been pursued that the loss of\ninformation associated with the quantum evolution of pure states, quantified in\nterms of an increase in time of so-called Leipnik\u0027s joint entropy, could be a\nrather general property shared by many quantum systems. This behavior has been\nconfirmed for the unconfined model systems and properly tuned initial data\n(maximally classical states). We provide two particular examples which indicate\na complexity of the quantum evolution. In the presence of a confining\n(harmonic) potential Leipnik\u0027s entropy may be non-increasing for maximally\nclassical initial data. Another choice of initial data implies periodicity in\ntime of the Leipnik entropy.",
"arxiv_id": "quant-ph/0509215",
"authors": [
"Piotr Garbaczewski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.056101",
"journal_ref": "Phys Rev. A 72, (2005), 056101",
"title": "Comment on \"Time-dependent entropy of simple quantum model systems\"",
"url": "https://arxiv.org/abs/quant-ph/0509215"
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