A trivial observation on time reversal in random matrix theory
Quantum Physics
2007-12-04 v1
Abstract
It is commonly thought that a state-dependent quantity, after being averaged over a classical ensemble of random Hamiltonians, will always become independent of the state. We point out that this is in general incorrect: if the ensemble of Hamiltonians is time reversal invariant, and the quantity involves the state in higher than bilinear order, then we show that the quantity is only a constant over the orbits of the invariance group on the Hilbert space. Examples include fidelity and decoherence in appropriate models.
Keywords
Cite
@article{arxiv.0709.3353,
title = {A trivial observation on time reversal in random matrix theory},
author = {L. Kaplan and F. Leyvraz and C. Pineda and T. H. Seligman},
journal= {arXiv preprint arXiv:0709.3353},
year = {2007}
}
Comments
7 pages 3 figures