A trivial observation on time reversal in random matrix theory

Details A trivial observation on time reversal in random matrix theory A trivial observation on time reversal in random matrix theory

2007-09-21

arxiv.org/abs/0709.3353v1

J. Phys. A: Math. Theor. 40 F1063-F1068 (2007)

Physics

Quantum Physics

7 pages 3 figures

Scientific paper

10.1088/1751-8113/40/49/F04

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.

Affiliated with

Also associated with

No associations

Rating

A trivial observation on time reversal in random matrix theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A trivial observation on time reversal in random matrix theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A trivial observation on time reversal in random matrix theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256326