The von Neumann entropy asymptotics in multidi- mensional fermionic systems
نویسنده
چکیده
We study the von Neumann entropy asymptotics of pure translationinvariant quasi-free states of d-dimensional fermionic systems. It is shown that the entropic area law is violated by all these states: apart from the trivial cases, the entropy of a cubic subsystem with edge length L cannot grow slower than Ld−1 ln L. As for the upper bound of the entropy asymptotics, the zero-entropy-density property of these pure states is the only limit: it is proven that arbitrary fast sub-Ld entropy growth is achievable.
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تاریخ انتشار 2008