Classical Chaos Described by a Density Matrix
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In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.
2006 ◽
Vol 358
(3)
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pp. 203-210
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1984 ◽
Vol 105
(5)
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pp. 511-517
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2020 ◽
Vol 35
(27)
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pp. 2050230
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2020 ◽
Vol 75
(2)
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pp. 131-141
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