English

Accurate effective Hamiltonians via unitary flow in Floquet space

Quantum Physics 2013-10-23 v3

Abstract

We present a systematic construction of effective Hamiltonians of periodically driven quantum systems. Because of an equivalence between the time dependence of a Hamiltonian and an interaction in its Floquet operator, flow equations, that permit to decouple interacting quantum systems, allow us to identify time-independent Hamiltonians for driven systems. With this approach, we explain the experimentally observed deviation of expected suppression of tunneling in ultracold atoms.

Keywords

Cite

@article{arxiv.1304.3584,
  title  = {Accurate effective Hamiltonians via unitary flow in Floquet space},
  author = {Albert Verdeny and Andreas Mielke and Florian Mintert},
  journal= {arXiv preprint arXiv:1304.3584},
  year   = {2013}
}