Increase of quantum volume entropy in presence of degenerate eigenenergies
arXiv:1604.02042 · doi:10.1088/1751-8113/49/40/405002
Abstract
The entropy of a classical thermally isolated Hamiltonian system is given by the logarithm of the measure of phase space enclosed by the constant energy hyper-surface, also known as volume entropy. It has been shown that on average the latter cannot decrease if the initial state is sampled from a classical passive distribution. Quantum extension of this result has been shown, but only for systems with a non-degenerate energy spectrum. Here we further extend to the case of possible degeneracies.
9 pages, 1 figure
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