Spacetime dynamical entropy of quantum systems |
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Authors: | T Hudetz |
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Institution: | (1) Institute for Theoretical Physics, Vienna University, Vienna, Austria |
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Abstract: | The definition of the dynamical entropy for single automorphisms of nuclear C
*-algebras is extended to groups of several commuting automorphisms. This entropy of a Z
v-action is shown to be nonzero only if all the corresponding Z
-subactions (0<<v) have infinite entropy. As a simple consequence, the spacetime entropy of quantum lattice spin systems, and of one-dimensional continuous systems with physically reasonable quasifree states, vanishes. |
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Keywords: | |
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