Control design for quantum systems, 2/2

Robust control of linear and non-linear quantum systems

The control of quantum systems by external fields (such as laser and cavity) is at the heart of modern applications ranging from quantum information processing to the control of chemical reactions.  It can be in general formulated as the transfer from an initial to a target state that can feature photonic [1], atomic [2], molecular [3], and combined (dressed) states [4]. 

One of the most challenging issues is the ability to achieve a high-fidelity transfer to a given target state in a robust way with respect to fluctuations, the partial knowledge of the system, and decoherence. We present techniques that allow the design of fields for such a robust control, ranging from ultrafast adiabatic methods [5] to single-shot shaped pulses [6] and composite pulses [7]. 

Its extension to non-linear quantum systems, such as the one featuring the production of molecular Bose-Einstein condensates from atomic ones, is presented [8].

[1] A. Gogyan, S. Guerin , C. Leroy, and Yu. Malakyan, Deterministic production of N-photon states from a single atom-cavity system, Phys. Rev. A 86, 063801 (2012).
[2] B. Rousseaux, S. Guerin, and N.V. Vitanov, Arbitrary qudit gates by adiabatic passage, Phys. Rev. A 87, 032328 (2013).
[3] M. Sala,  M. Saab, B. Lasorne, F. Gatti, and S. Guerin, Laser control of the radiationless decay in pyrazine using the dynamic Stark effect, J. Chem. Phys. 140, 194309 (2014).
[4] S. Guerin and H.R. Jauslin, Control of quantum dynamics by laser pulses - Adiabatic Floquet theory,  Adv. Chem. Phys. 125, 147 (2003).
[5] G. Dridi, S. Guerin, V. Hakobyan, H.R. Jauslin, and H. Eleuch, Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses, Phys. Rev. A 80, 043408 (2009); S. Guerin, V. Hakobyan, and H.R. Jauslin, Optimal adiabatic passage by shaped pulses: Efficiency and robustness, ibid 84, 013423 (2011).
[6] D. Daems, A. Ruschhaupt, D. Sugny, and S. Guerin, Robust quantum control by a single-shot shaped pulse, Phys. Rev. Lett. 111, 050404 (2013).
[7] B.T. Torosov, S. Guerin, N.V. Vitanov, High-fidelity adiabatic passage by composite sequences of chirped pulses, Phys. Rev. Lett. 106, 233001 (2011).
[8] S. Guerin, M. Gevorgyan, C. Leroy, H.R. Jauslin, and A. Ishkhanyan,  Efficient adiabatic tracking of driven quantum nonlinear systems, Phys. Rev. A 88, 063622 (2013).