dorsal/arxiv
View SchemaA Description of Quantum Chaos
| Authors | Kei Inoue, Andrzej Kossakowski, Masanori Ohya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406227 |
| URL | https://arxiv.org/abs/quant-ph/0406227 |
Abstract
A measure describing the chaos of a dynamics was introduced by two complexities in information dynamics, and it is called the chaos degree. In particular, the entropic chaos degree has been used to characterized several dynamical maps such that logistis, Baker's, Tinckerbel's in classical or quantum systems. In this paper, we give a new treatment of quantum chaos by defining the entropic chaos degree for quantum transition dynamics, and we prove that every non-chaotic quantum dynamics, e.g., dissipative dynamics, has zero chaos degree. A quantum spin 1/2 system is studied by our chaos degree, and it is shown that this degree well describes the chaotic behavior of the spin system.
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"abstract": "A measure describing the chaos of a dynamics was introduced by two\ncomplexities in information dynamics, and it is called the chaos degree. In\nparticular, the entropic chaos degree has been used to characterized several\ndynamical maps such that logistis, Baker\u0027s, Tinckerbel\u0027s in classical or\nquantum systems. In this paper, we give a new treatment of quantum chaos by\ndefining the entropic chaos degree for quantum transition dynamics, and we\nprove that every non-chaotic quantum dynamics, e.g., dissipative dynamics, has\nzero chaos degree. A quantum spin 1/2 system is studied by our chaos degree,\nand it is shown that this degree well describes the chaotic behavior of the\nspin system.",
"arxiv_id": "quant-ph/0406227",
"authors": [
"Kei Inoue",
"Andrzej Kossakowski",
"Masanori Ohya"
],
"categories": [
"quant-ph"
],
"title": "A Description of Quantum Chaos",
"url": "https://arxiv.org/abs/quant-ph/0406227"
},
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