Quantum driving protocols for a two-level system: From generalized Landau-Zener sweeps to transitionless control

Year: 2013

Authors: Malossi N., Bason M.G., Viteau M., Arimondo E., Mannella R., Morsch O., Ciampini D.

Autors Affiliation: Dipartimento di Fisica “E. Fermi,” Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy; INO-CNR, Largo Pontecorvo 3, 56127 Pisa, Italy; CNISM UdR, Dipartimento di Fisica “E. Fermi,” Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy

Abstract: We present experimental results on the preparation of a desired quantum state in a two-level system with the maximum possible fidelity using driving protocols ranging from generalizations of the linear Landau-Zener protocol to transitionless driving protocols that ensure perfect following of the instantaneous adiabatic ground state. We also study the minimum time needed to achieve a target fidelity and explore and compare the robustness of some of the protocols against parameter variations simulating a possible experimental uncertainty. In our experiments, we realize a two-level model system using Bose-Einstein condensates inside optical lattices, but the results of our investigation should hold for any quantum system that can be approximated by a two-level system. DOI: 10.1103/PhysRevA.87.012116


Volume: 87 (1)      Pages from: 012116  to: 012116

More Information: This work was supported by the E.U. through Grants No. 225187-NAMEQUAM and No. 265031-ITN-COHERENCE and by the MIUR PRIN-2009 QUANTUM GASES BEYOND EQUILIBRIUM. The authors thank J. Dalibard, P. Clade, D. Guery-Odelin, and M. Holthaus for fruitful discussions.
DOI: 10.1103/PhysRevA.87.012116

Citations: 31
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