Convergence to equilibrium under a random Hamiltonian

Details Convergence to equilibrium under a random Hamiltonian Convergence to equilibrium under a random Hamiltonian

2011-08-15

arxiv.org/abs/1108.2985v4

Physics

Quantum Physics

7 pages + appendix; comments welcome; results for a degenerate energy spectrum added

Scientific paper

We analyse the time of equilibration of subsystems of a larger system under a random total Hamiltonian, in which the basis of the Hamiltonian is drawn from the Haar measure. We obtain that the time of equilibration is of the order of the inverse of the arithmetic average of the Bohr frequencies. To compute the average over random basis, we compute the inverse of a matrix of overlaps of operators which permute four systems. We first obtain results on such matrix for a representation of an arbitrary finite group and then apply it to the particular representation of the permutation group under consideration.

Affiliated with

Also associated with

No associations

Rating

Convergence to equilibrium under a random Hamiltonian 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 Convergence to equilibrium under a random Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence to equilibrium under a random Hamiltonian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301661