Exactly solvable one-qubit driving fields generated via non-linear equations
Quantum Physics
2017-08-09 v1
Abstract
Using the Hubbard representation for we write the time-evolution operator of a two-level system in the disentangled form. This allows us to map the corresponding dynamical law into a set of non-linear coupled equations. In order to find exact solutions, we use an inverse approach and find families of time-dependent Hamiltonians whose off-diagonal elements are connected with the Ermakov equation. The physical meaning of the so-obtained Hamiltonians is discussed in the context of the nuclear magnetic resonance phenomenon
Keywords
Cite
@article{arxiv.1708.02348,
title = {Exactly solvable one-qubit driving fields generated via non-linear equations},
author = {Marco Enriquez and Sara Cruz y Cruz},
journal= {arXiv preprint arXiv:1708.02348},
year = {2017}
}