Enabling adiabatic passages between disjoint regions in parameter space through topological transitions
Files
Published version
Date
2016-09-09
Authors
Souza, Tiago
Tomka, Michael
Kolodrubetz, Michael
Rosenberg, Steven
Polkovnikov, Anatoli
Version
Published version
OA Version
Citation
Tiago Souza, Michael Tomka, Michael Kolodrubetz, Steven Rosenberg, Anatoli Polkovnikov. 2016. "Enabling adiabatic passages between disjoint regions in parameter space through topological transitions." PHYSICAL REVIEW B, Volume 94, Issue 9, pp. ? - ? (16). https://doi.org/10.1103/PhysRevB.94.094106
Abstract
We explore topological transitions in parameter space in order to enable adiabatic passages between regions adiabatically disconnected within a given parameter manifold. To this end, we study the Hamiltonian of two coupled qubits interacting with external magnetic fields, and make use of the analogy between the Berry curvature and magnetic fields in parameter space, with spectrum degeneracies associated to magnetic charges. Symmetry-breaking terms induce sharp topological transitions on these charge distributions, and we show how one can exploit this effect to bypass crossing degeneracies. We also investigate the curl of the Berry curvature, an interesting but as of yet not fully explored object, which together with its divergence uniquely defines this field. Finally, we suggest a simple method for measuring the Berry curvature, thereby showing how one can experimentally verify our results.