A note on the switching adiabatic theorem

Details A note on the switching adiabatic theorem A note on the switching adiabatic theorem

2012-04-11

arxiv.org/abs/1204.2318v1

Physics

Mathematical Physics

20 pages, no figures

Scientific paper

We derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class $G^\alpha$ as a function of time, and we show that the error in adiabatic approximation remains small for running times of order $g^{-2}\,|\ln\,g\,|^{6\alpha}$. Here $g$ denotes the minimal spectral gap between the eigenvalue(s) of interest and the rest of the spectrum of the instantaneous Hamiltonian.

Affiliated with

Also associated with

No associations

Rating

A note on the switching adiabatic theorem 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 note on the switching adiabatic theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the switching adiabatic theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716795